Inverse Problems and Mathematical Imaging

Publications


Peer Reviewed Journal Publication
  • Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar (2018, online: 2017) Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies. Foundations of Computational Mathematics, Bd. 18 (4), S. 891-927. (link)
  • Freudenblum, Julia; Iglesias, José A.; Hermann, Martin; Walsen, Tanja; Wilfinger, Armin et al. [..] (2018) In vivo imaging of emerging endocrine cells reveals a requirement for PI3K-regulated motility in pancreatic islet morphogenesis. Development, Bd. 145 (3), S. dev.158477. (link)
  • Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar (2018) A note on convergence of solutions of total variation regularized linear inverse problems. Inverse Problems, Bd. 35 (5), S. 055011. (link)
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (2018) Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging. Inverse Probl., Bd. 34 (1), S. ARTN 014006.
  • Scherzer, Otmar; Shi, Cong (2018) Reconstruction formulas for photoacoustic imaging in attenuating media. Inverse Probl., Bd. 34 (1), S. ARTN 015006.
  • Mantile, A.; Posilicano, A.; Sini, M. (2018) Limiting Absorption Principle, Generalized Eigenfunctions and Scattering Matrix for Laplace Operators with Boundary conditions on Hypersurfaces. Journal of Spectral Theory, Bd. 7, S. pp.
  • Elbau, P.; Scherzer, O.; Shi, C. (2017) Singular values of the attenuated photoacoustic imaging operator. J. Differential Equations, Bd. 263 (9), S. 5330-5376.
  • Kalimeris, K. (2017) Asymptotic expansions for steady periodic water waves in flows with constant vorticity. Nonlinear Anal.-Real World Appl., Bd. 37, S. 182–212.
  • Kalimeris, K. (2017) Asymptotic expansions for steady periodic water waves in flows with constant vorticity. Nonlinear Anal.-Real World Appl., Bd. 37, S. 182–212.
  • Patrone, Aniello Raffaele; Scherzer, Otmar (2017) On a spatial-temporal decomposition of optical flow. Inverse Problems and Imaging, Bd. 11 (4), S. 761-781.
  • Hrushikesh N. Mhaskar, Sergei V. Pereverzyev and Maria D. van der Walt (2017) A Deep Learning Approach to Diabetic Blood Glucose Prediction. Frontiers in Applied Mathematics and Statistics, S. 18. (link)
  • Galyna Kriukova, Sergiy Pereverzyev Jr and Pavlo Tkachenko (2017) Nyström type subsampling analyzed as a regularized projection. Inverse problems, Bd. 33 (7), S. 074001 <'http://iopscience.iop.org/0266-5611/33/7/074001'>. (link)
  • Sini., F. Mouffouk; T. Alrefae; D. P. Challa; M. (2017, online: 2016) Modeling and simulation of the motion of nanoparticles in cylindrical capillaries allowing particle-to-wall interactions. Mathematical Methods in Applied Sciences, Bd. 40, S. 1050.
  • Frigaard, Ian A.; Iglesias, José A.; Mercier, Gwenael; Pöschl, Christiane; Scherzer, Otmar (2017) Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets. SIAM Journal on Applied Mathematics, Bd. 77 (2), S. 638–663.
  • Dong, Guozhi; Jüttler, Bert; Scherzer, Otmar; Takacs, Thomas (2017) Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces. Inverse Probl. Imaging, Bd. 11 (2), S. 221-246.
  • Lang, L. F.; Scherzer, O. (2017) Optical Flow on Evolving Sphere-Like Surfaces. Inverse Probl. Imaging, Bd. 11 (2), S. 305-338.
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (2017, online: 2017) Inverse problems of combined photoacoustic and optical coherence tomography. Math. Methods Appl. Sci., Bd. 40, S. 505-522.
  • Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar (2017, online: 2016) Photoacoustic Tomography With Spatially Varying Compressibility and Density. J. Inverse Ill-Posed Probl., Bd. 25 (1), S. 119-133.
  • Tkachenko, Sergei V. Pereverzyev and Pavlo (2017) Regularization by the Linear Functional Strategy with Multiple Kernels. Frontiers in Applied Mathematics and Statistics, S. 9 <'http://journal.frontiersin.org/article/10.3389/fams.2017.00001/full'>. (link)
  • Gerhards, Christian; Jr., Sergiy Pereverzyev; Tkachenko, Pavlo (2017, online: 2016) A parameter choice strategy for the inversion of multiple observations. Advances in Computational Mathematics, Bd. 43 (1), S. 101-112 <'http://link.springer.com/article/10.1007/s10444-016-9477-9?wt_mc=Internal.Event.1.SEM.ArticleAuthorAssignedToIssue'>. (link)
  • Pereverzyev, Sergei V.; Mathe, Peter (2017, online: 2016) Complexity of linear ill-posed problems in Hilbert space. Journal of Complexity, Bd. 38, S. 50-67 <'http://www.sciencedirect.com/science/article/pii/S0885064X16300875'>. (link)
  • Sini, F. Al-Musallam; D. P. Challa; M. (2016, online: 2016) The equivalent medium for the elastic scattering by many small rigid bodies and applications. IMA Journal of Applied Mathematics, Bd. 81 (6), S. 1020-1050.
  • Sini, F. Al-Musallam; D. P. Challa; M. (2016, online: 2016) The equivalent medium for the elastic scattering by many small rigid bodies and applications. IMA Journal of Applied Mathematics, Bd. 81 (6), S. 1020-1050.
  • Challa, Durga Prasad; Sini, Mourad (2016, online: 2016) Multiscale analysis of the acoustic scattering by many scatterers of impedance type. Z. Angew. Math. Phys., Bd. 67 (3), S. ARTN 58.
  • Sampath, Sivananthan; Tkachenko, Pavlo; Renard, Eric; Pereverzev, Sergei V. (2016, online: 2016) Glycemic Control Indices and Their Aggregation in the Prediction of Nocturnal Hypoglycemia From Intermittent Blood Glucose Measurements. Journal of Diabetes Science and Technology, Bd. 10, S. 1245-1250 <'http://dst.sagepub.com/content/10/6/1245.abstract'>. (link)
  • A. Alsaedi, B. Ahmed, D. P. Challa, M. Kirane, M. Sini (2016, online: 2015) A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. Mathematical Methods in Applied Sciences, Bd. 39 (13), S. 3607–3622.
  • A. Alsaedi, B. Ahmed, D. P. Challa, M. Kirane, M. Sini (2016, online: 2015) A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. Mathematical Methods in Applied Sciences, Bd. 39 (13), S. 3607–3622.
  • Tkachenko, Pavlo; Kriukova, Galyna; Aleksandrova, Marharyta; Chertov, Oleg; Renard, Eric et al. [..] (2016) Prediction of nocturnal hypoglycemia by an aggregation of previously known prediction approaches: proof of concept for clinical application. Computer Methods and Programs in Biomedicine, Bd. 134, S. 179-186 <'http://www.cmpbjournal.com/article/S0169-2607(16)30164-X/abstract'>. (link)
  • A. Mantile, A. Posilicano, M. Sini (2016, online: 2016) Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces. Journal of Differential Equations, Bd. 261 (1), S. 1-55.
  • A. Mantile, A. Posilicano, M. Sini (2016, online: 2016) Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces. Journal of Differential Equations, Bd. 261 (1), S. 1-55.
  • Albani, V.; Elbau, P.; de Hoop, M. V.; Scherzer, O. (2016) Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces. Numer. Funct. Anal. Optim., Bd. 37 (5), S. 521-540.
  • Beretta, Elena; Hoop, Maarten V. de; Faucher, Florian; Scherzer, Otmar (2016) Inverse boundary value problem for the Helmholtz equation: quantitativeconditional Lipschitz stability estimates. SIAM J. Appl. Math., Bd. 48, S. 3962-3983.
  • Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru (2016) On the X-ray transform of planar symmetric 2-tensors. J. Math. Anal. Appl., Bd. 442 (1), S. 31-49.
  • Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar (2016) A direct method for photoacoustic tomography with inhomogeneous sound speed. Inverse Probl., Bd. 32 (4), S. ARTN 045005.
  • Tkachenko, Pavlo (2016, online: 2015) Regularization by Aggregation of Global and Local Data on the Sphere. Computational Methods in Applied Mathematics, Bd. 16 (2), S. 299–307 <'http://www.degruyter.com/view/j/cmam.2016.16.issue-2/cmam-2015-0039/cmam-2015-0039.xml?format=INT'>. (link)
  • Alsaedi, Ahmed; Alzahrani, Faris; Challa, Durga Prasad; Kirane, Mokhtar; Sini, Mourad (2016, online: 2016) Extraction of the index of refraction by embedding multiple small inclusions. Inverse Probl., Bd. 32 (4), S. ARTN 045004.
  • Kriukova, Galyna; Pereverzyev, Sergei; Tkachenko, Pavlo (2016, online: 2015) On the convergence rate and some applications of regularized ranking algorithms. Journal of Complexity, Bd. 33, S. 14-29.
  • Manas Kar, Mourad Sini (2016, online: 2015) An $H^{s;p}(curl; Omega)$ estimate for the Maxwell system. Mathematische Annalen, Bd. 364, S. 559–587. (link)
  • Al-Musallam, Fadhel; Challa, Durga Prasad; Sini, Mourad (2016, online: 2015) Location and size estimation of small rigid bodies using elastic far-fields. Contemp. Math., Bd. 658, S. 33–46. (link)
  • Al-Musallam, Fadhel; Challa, Durga Prasad; Sini, Mourad (2016, online: 2015) Location and size estimation of small rigid bodies using elastic far-fields. Contemp. Math., Bd. 658, S. 33–46. (link)
  • Manas Kar, Mourad Sini (2016, online: 2015) An $H^{s;p}(curl; Omega)$ estimate for the Maxwell system. Mathematische Annalen, Bd. 364, S. 559–587. (link)
  • Cao, Hui; Pereverzyev, Sergei V; Sloan, Ian H; Tkachenko, Pavlo (2016, online: 2015) Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Applied Mathematics and Computation, Bd. 273, S. 993-1005. (link)
  • Kriukova, Galyna; Panasiuk, Oleksandra; Pereverzyev, Sergei V; Tkachenko, Pavlo (2016, online: 2015) A linear functional strategy for regularized ranking. Neural networks, Bd. 73, S. 26-35. (link)
  • Schmid, Julian; Glatz, Thomas; Zabihian, Behrooz; Liu, Mengyang; Drexler, Wolfgang et al. [..] (2016) Nonequispaced grid sampling in photoacoustics with a nonuniform fast Fourier transform. J. Biomed. Opt., Bd. 21 (1), S. ARTN 015005.
  • Challa, Durga Prasad; Sini, Mourad (2015) The Foldy-Lax approximation of the scattered waves by many small bodies for the Lame system. Math. Nachr., Bd. 288 (16), S. 1834-1872.
  • Mercier, Gwenael; Novaga, Matteo (2015) Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions. Interfaces and Free Boundaries, Bd. 17 (3), S. 399-426.
  • Kamal Rashedi, Mourad Sini (2015) Stable recovery of the time-dependent source term from one measurement for the wave equation. Inverse Problems, Bd. 31 (10), S. 105011. (link)
  • Rulin Kuan, Yi-Hsuan Lin, Mourad Sini (2015) The enclosure method for the anisotropic Maxwell system. SIAM J. Math. Anal., Bd. 47 (5), S. 3488–3527. (link)
  • Sadiq, K.; Tamasan, A. (2015, online: 2014) On the Range of the Attenuated Radon Transform in strictly Convex Sets. Transactions of the American Mathematical Society, Bd. 367 (8), S. 5375--5398.
  • Glatz, Thomas; Scherzer, Otmar; Widlak, Thomas (2015) Texture Generation for Photoacoustic Elastography. J. Math. Imaging Vis., Bd. 52 (3), S. 369-384.
  • Constantin, A.; Kalimeris, K.; Scherzer, O. (2015) A PENALIZATION METHOD FOR CALCULATING THE FLOW BENEATH TRAVELING WATER WAVES OF LARGE AMPLITUDE. SIAM J. Appl. Math., Bd. 75 (4), S. 1513-1535.
  • Elbau, P.; Scherzer, O. (2015) Modelling the Effect of Focusing Detectors in Photoacoustic Sectional Imaging. SIAM J. Imaging Sci., Bd. 8 (1), S. 1-18.
  • Rondi, Luca; Sini, Mourad (2015) Stable Determination of a Scattered Wave from its Far-Field Pattern: The High Frequency Asymptotics. Arch. Ration. Mech. Anal., Bd. 218 (1), S. 1-54.
  • Constantin, A.; Kalimeris, K.; Scherzer, O. (2015) Approximations of steady periodic water waves in flows with constant vorticity. Nonlinear Anal.-Real World Appl., Bd. 25, S. 276-306.
  • Sadiq, K.; Tamasan, A. (2015, online: 2015) On the Range Characterization of the two-dimensional Attenuated Doppler Transform. Society for Industrial and Applied Mathematics (SIAM) Journal on Mathematical Analysis, Bd. 47 (3), S. 2001-2021.
  • Iglesias, José A.; Bruckstein, Alfred M. (2015, online: 2014) On the Gamma-convergence of some polygonal curvature functionals. Applicable Analysis, Bd. 94 (5), S. 957-979.
  • Sini, B. Ahmad; D. P. Challa; M. Kirane; M. (2015, online: 2014) The equivalent refraction index for the acoustic scattering by many small obstacles With error estimates. Journal of Mathematical Analysis and Applications, Bd. 424 (1), S. 563-583.
  • Pereverzyev, S. V.; Sloan, I. H.; Tkachenko, P. (2015, online: 2015) Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere. SIAM Journal on Numerical Analysis, Bd. 53 (2), S. 820-835. (link)
  • Widlak, Thomas; Scherzer, Otmar (2015) Stability in the linearized problem of quantitative elastography. Inverse Probl., Bd. 31 (3), S. ARTN 035005.
  • Kirisits, C.; Poeschl, C.; Resmerita, E.; Scherzer, O. (2015, online: 2014) Finite-dimensional approximation of convex regularization via hexagonal pixel grids. Applicable Analysis, Bd. 94 (3), S. 612-636.
  • Giri, Ankik Kumar; Nagar, Atulya K. (2015) CONVERGENCE OF THE CELL AVERAGE TECHNIQUE FOR SMOLUCHOWSKI COAGULATION EQUATION. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., Bd. 49 (2), S. 349-372.
  • Pereverzyev, S. V.; Tkachenko, P. (2015, online: 2015) Pointwise Computation in an Ill-Posed Spherical Pseudo-Differential Equation. Computational Methods in Applied Mathematics, Bd. 15 (2), S. 213–219. (link)
  • M. Sini, T. T. Nguyen (2015) Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements. ESAIM: M2AN, Bd. 49 (2), S. 459–480.
  • Pöschl, Christiane; Scherzer, Otmar (2015) Exact solutions of one-dimensional total generalized variation. Communications in Mathematical Sciences, Bd. 13 (1), S. 171-202.
  • Scherzer, O.; Qiu, L.; Hoop, M. de (2015, online: 2014) An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints. Numerische Mathematik, Bd. 129 (1), S. 127-148.
  • Andreev, Roman (2015, online: 2015) On long time integration of the heat equation. Calcolo, Bd. n/a, S. n/a. (link)
  • Kar, Manas; Sini, Mourad (2015, online: 2014) On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves. Journal of Elasticity, Bd. 118 (1), S. 15-38.
  • Poeschl, C.; Scherzer, O. (2015) Exact solutions of one-dimensional total generalized variation. Communications in Mathmetical Sciences, Bd. 13 (1).
  • G. Hu, A. Mantile and M. Sini. (2014, online: 2014) Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers. Multiscale Modeling & Simulation, Bd. 12 (3), S. 996-1027.
  • Andreev, Roman; Tobler, Christine (2014, online: 2014) Multilevel preconditioning and low rank tensor iteration for space-time simultaneous discretizations of parabolic PDEs. Numerical Linear Algebra with Applications, Bd. 22 (2), S. 317–337. (link)
  • Kar, Manas; Sini, Mourad (2014, online: 2014) Reconstruction of interfaces from the elastic farfield measurements using CGO solutions. SIAM J. Math. Anal., Bd. 46 (4), S. 2650-2691.
  • Fornasier, Massimo; Naumova, Valeriya; Pereverzyev, Sergei (2014, online: 2014) Parameter choice strategies for multipenalty regularization. SIAM Journal on Numerical Analysis, Bd. 52 (4), S. 1770-1794. (link)
  • Wang, W.; Anzengruber, S. W.; Ramlau, R.; Han, B. (2014) A global minimization algorithm for Tikhonov functionals with sparsity constraints. Applicable Analysis, Bd. 94 (3), S. 580-611.
  • F. Al-Musallam, A. Boumenir and M. Sini. (2014, online: 2014) Detection of multilayered media in the acoustic waveguide. Journal of Mathematical Analysis and Applications, Bd. 415 (2), S. 846–872. (link)
  • Andreev, Roman (2014, online: 2014) A note on the norm of oblique projections. Applied Mathematics E-Notes, Bd. 14, S. 43-44. (link)
  • Naetar, W.; Scherzer., O. (2014) Quantitative photoacoustic tomography with piecewise constant material parameters. SIAM Journal on Imaging Sciences, Bd. 7 (3), S. 1755-1774.
  • Kirisits, C.; Lang, L. F.; Scherzer, O. (2014) Decomposition of optical flow on the sphere. International Journal on Geomathematics, Bd. 5 (1), S. 117-141.
  • Kirisits, C.; Lang, L. F.; Scherzer, O. (2014) Optical Flow on Evolving Surfaces with Space and Time Regularisation. Journal of Mathematical Imaging and Vision, Bd. 52, S. 55-70.
  • Beretta, E.; Grasmair, M.; Muszkieta, M.; Scherzer, O. (2014) A variational algorithm for the detection of line segments. Inverse Problems and Imaging, Bd. 8 (2), S. 389-408.
  • Kar, Manas; Sini, Mourad (2014, online: 2013) Reconstructing obstacles by the enclosure method using the far field measurements in one step. Applicable Analysis: An International Journal, Bd. 6, S. 1327-1336. (link)
  • Gittelson, Claude Jeffrey; Andreev, Roman; Schwab, Christoph (2014, online: 2013) Optimality of adaptive Galerkin methods for random parabolic partial differential equations. Journal of Computational and Applied Mathematics, Bd. 263, S. 189-201 .
  • Challa, D. P.; HU, G.; Sini, M. (2014) Multiple scattering of electromagnetic waves by finitely many point-like obstacles. Mathematical Models and Methods in Applied Sciences, Bd. 24 (5), S. 863-899.
  • Andreev, Roman; Schweitzer, Julia (2014, online: 2014) Conditional space-time stability of collocation Runge-Kutta for parabolic evolution equations. Electron Trans Numer Anal, Bd. 41, S. 62-80. (link)
  • Fokas, A. S.; Kalimeris, K. (2014, online: 2013) Eigenvalues for the Laplace operator in the interior of an equilateral triangle. Computational Methods and Function Theory, Bd. 14 (1), S. 1-33.
  • Naumova, Valeriya; Pereverzyev, Sergei V.; Tkachenko, Pavlo (2014, online: 2013) Regularized collocation for spherical harmonics gravitational field modeling. International Journal on Geomathematics, Bd. 5 (1), S. 17. (link)
  • Kar, Manas; Sini, Mourad (2014, online: 2014) Reconstruction of interfaces using CGO solutions for the Maxwell equations. Journal of Inverse and Ill-posed Problems, Bd. 22, S. 169-208.
  • Challa, D. P.; Sini, M. (2014, online: 2014) On the justification of the Foldy-Lax approximation for the acoustic scattering by small rigid bodies of arbitrary shapes. SIAM Multiscale Modeling and Simulation, Bd. 12 (1), S. 55-108.
  • Andreev, Roman (2014, online: 2014) Space-time discretization of the heat equation. Numerical Algorithms, Bd. 67, S. 713-731. (link)
  • Andreev, Roman; Lang, Annika (2014, online: 2014) Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds. Potential Analysis, Bd. 41, S. 761-769. (link)
  • Cao, Hui; Pereverzyev, Sergei; Sincich, Eva (2014, online: 2013) Discretized Tikhonov regularization for Robin boundaries localization. Applied Mathematics and Computation, Bd. 226, S. 374–385.
  • Erika Hausenblas, Ankik Kumar Giri (2013) Stochastic Burger's equation with polynomial nonlinearity driven by Levy process. Commun. Stoch. Anal. (COSA), Bd. 7 (1), S. 91-112.
  • Ankik Kumar Giri, Erika Hausenblas (2013) Convergence analysis of sectional methods for solving aggregation population balance equations: The fixed pivot technique. Nonlinear Analysis: Real World Applications, Bd. 14 (6), S. 2068–2090.
  • Anzengruber, S. W.; Hofmann, B.; Ramlau, R. (2013) On the interplay of basis smoothness and specific rangeconditions occurring in sparsity regularization. Inverse Problems, Bd. 29 (12), S. 125002.
  • Kalimeris, K.; Scherzer, O. (2013, online: 2013) Photoacoustic imaging in attenuating acoustic media based on strongly causal models. Mathematical Methods in The Applied Sciences, Bd. 36 (16), S. 2254–2264.
  • Mhaskar, Hrushikesh; Naumova, Valeriya; Pereverzyev, Sergei (2013, online: 2013) Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions. Applied Mathematics and Computation, Bd. 224, S. 835–847. (link)
  • Giri, Ankik Kumar (2013, online: 2013) On the uniqueness for coagulation and multiple fragmentation equation. Kinetic and Related Models (KRM), Bd. 6 (3), S. 589-599.
  • (2013, online: 2013) Elastic scattering by finitely many point-like obstacles. Journa of Mathematical Physics, Bd. 54 (4), S. 1-16.
  • G.Hu; M.Sini (2013, online: 2013) Elastic scattering by finitely many point-like obstacles. Journal of Mathematical Physics, Bd. 54 (4), S. 1-16 . (link)
  • Grasmair, M.; Muszkieta, M.; Scherzer, O. (2013, online: 2013) An approach to the minimization of the Mumford-Shah functional using Γ-convergence and topological asymptotic expansion. Interfaces and Free Boundaries, Bd. 15 (2), S. 141-166.
  • Grasmair, M.; Scherzer, O.; Vanhems, A. (2013, online: 2013) Nonparametric instrumental regression with non-convex constraints. Inverse Problems, Bd. 29 (3), S. 035006.
  • Naumova, Valeriya; Pereverzyev, Sergei V. (2013, online: 2013) Multi-penalty regularization with a component-wise penalization. Inverse Problems, Bd. 29 (7), S. 1-16. (link)
  • M. SIni, ; Yoshida, K. (2013, online: 2013) Corrigendum: On the reconstruction of interfaces using complex geometrical optics solutions for the acoustic case. Inverse Problems, Bd. 29 (3), S. 1-2.
  • Bal, G.; Naetar, W.; Scherzer, O.; Schotland, J. (2013) The Levenberg–Marquardt iteration for numerical inversion of the power density operator. Journal of Inverse and Ill-Posed Problems, Bd. 21 (2), S. 265-280.
  • N Honda, ; G. Nakamura, ; Sini, M. (2013, online: 2012) Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. Mathematische Annalen, Bd. 355 (2), S. 749–773.
  • Grasmair, M.; Scherzer, O.; Vanhems, A. (2013) Nonparametric instrumental regression with non-convex constraints., Bd. 29 (3), S. 035006-035021.
  • Abhau, J.; Aichholzer, O.; Colutto, S.; Kornberger, B.; Scherzer, O. (2013) Shape Spaces via Medial Axis Transforms for Segmentation of 3D Voxel Data. Inverse Problems and Imaging, Bd. 7 (1), S. 1-25.
  • Lu, S.; Naumova, V.; Pereverzyev, S. V. (2013, online: 2012) Legendre polynomials as a recommended basis for numerical differentiation in the presence of stochastic white noise. Journal of Inverse and Ill-Posed Problems, Bd. 21, S. 193-216. (link)
  • Kumar, with Jitendra (2013) Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations. Applied Mathematics and Computation, Bd. 219 (10), S. 5140-5151.
  • A. Kirsch, ; G. Hu, ; Sini, M. (2013) Some inverse problems arising from elastic scattering by rigid obstacles. Inverse Problems, Bd. 29 (1), S. 1-22.
  • Naumova, V.; Pereverzyev, S. V. (2012, online: 2012) Blood Glucose Predictors: an Overview on How Recent Developments Help to Unlock the Problem of Glucose Regulation. Recent Patents on Computer Science, Bd. 5 (3), S. 1-11.
  • Sini, Mourad; Nguyen, Trung Thanh (2012, online: 2012) Inverse acoustic obstacle scattering problems using multifrequency measurements. Inverse Problems and Imaging, Bd. 4, S. 749–773.
  • Ramlau, R.; Zarzer, C. (2012) On the optimization of a Tikhonov functional with non-convex sparsity constraints. ETNA, Bd. 39, S. 476-507.
  • Ramlau, R.; Rosensteiner, M. (2012) A Kaczmarz type reconstructor for MCAO data. Inverse Problems, Bd. 28 (9), S. 8277-8287.
  • Anzengruber, S. W.; Klann, E.; Ramlau, R.; Tonova, D. (2012) Numerical methods for the design of gradient-index optical coatings. Applied Optics, Bd. 51 (34), S. 173652.
  • Challa, D. P.; Sini, M. (2012, online: 2012) Inverse scattering by point-like scatterers in the Foldy regime. Inverse Problems, Bd. 28 (12), S. 39. (link)
  • with Jitendra Kumar, Gerald Warnecke (2012, online: 2013) Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms. Mathematical Models and Methods in Applied Sciences, Bd. 23 (07), S. 1235-1273.
  • Naumova, V.; Pereverzyev, S.V.; Sampath, S. (2012, online: 2012) A meta-learning approach to the regularized learning—case study: Blood glucose prediction. Neural Networks, Bd. 33, S. 181-193. (link)
  • Naumova, V.; Pereverzyev, S. V.; Sampath, S. (2012, online: 2012) Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology. Journal of Complexity, Bd. 28, S. 524-538. (link)
  • Sini, M.; Nakamura, G.; Kim, K. (2012) The Green function of the interior transmission problem and its applications. Inverse Problems and Imaging (IPI), Bd. 6 (3), S. 487-521 . (link)
  • Scherzer, O.; Widlak, T. (2012) Hybrid Tomography for Conductivity Imaging. Inverse Problems, Bd. 28, S. 084008.
  • Fidler, T.; Grasmair, M.; Scherzer, O. (2012) Shape Reconstruction with A Priori Knowledge Based on Integral Invariants. SIAM Journal on Imaging Sciences, Bd. 5 (2), S. 726–745.
  • Kirsch, A.; Scherzer, O. (2012) Simultaneous Reconstructions of Absorption Density and Wave Speed with Photoacoustic Measurements. SIAM Journal Applied Mathematics, Bd. 72 (5), S. 1508-1523.
  • Nakamura, G.; Honda, N.; Sini, M. (2012) Analytic extention and reconstruction of obstacles from few measurements for elliptic second order operators. Mathematischen Annalen, Bd. 354, S. 1-20.
  • Sini, M.; Yoshida, K. (2012, online: 2012) On the reconstruction of interfaces using complex geometrical optics solutions for the acoustic case. Inverse Problems, Bd. 28 (5), S. 22. (link)
  • Cezaro, A. De; Scherzer, O.; Zubelli, J.P. (2012) Convex regularization of local volatility models from option prices:Convergence analysis and rates. Nonlinear Analysis: Theory, Methods & Applications, Bd. 75, S. 2398-2415.
  • Elbau, P.; Scherzer, O.; Schulze, R. (2012) Reconstruction Formulas for Photoacoustic Sectional Imaging. Inverse Problems (28), S. 045004.
  • Scherzer, O.; Qiu, L.; Hoop, M. de (2012) Local analysis of inverse problems: Hölder stability and iterative reconstruction. Inverse Problems, Bd. 28, S. 045001.
  • Pereverzyev, Sergei V.; Solodky, Sergei G.; Volynets, Evgeny A. (2012, online: 2011) The balancing principle in solving semi-discrete inverse problems in Sobolev scales by Tikhonov method. Applicable Analysis, Bd. 91 (3), S. 435-446. (link)
  • Gintides, D.; Sini, M. (2012) Identification of obstacles using only the pressure parts (or only the shear parts) of the elastic waves. Inverse Problems and Imaging, Bd. 6, S. 1-16.
  • Gintides, D.; Sini, M.; Nguyen, T. T. (2012) Detection of point-like scatterers using one type of scattered elastic waves. Journal of Computational and Applied Mathematics, Bd. 236 (8), S. 2137--2145.
  • Kindermann, S.; Neubauer, A.; Ramlau, R. (2012) A singular value decomposition for the Shack-Hartmann based wavefront reconstruction. J. Comput. Appl. Math., Bd. 236 (8), S. 2186-2199.
  • Garnier, J.; Kalimeris, K. (2012) Inverse scattering perturbation theory for the nonlinear Schroedinger equation with non-vanishing background. Journal of Physics A: Mathematical and Theoretical, Bd. 45 (3), S. 035202.
  • Thorstensen, N.; Scherzer, O. (2011) Convergence of variational regularization methods for imaging on Riemannian manifolds. Inverse Problems, Bd. 28 (1), S. 015007.
  • Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar (2011, online: 2011) The residual method for regularizing ill-posed problems. Applied Mathematics and Computation, Bd. 218 (6), S. 2693–2710.
  • M. Zhariy, A. Neubauer, M. Rosensteiner, R. Ramlau (2011) Cumulative Wavefront Reconstructor for the Shack-Hartmann Sensor. Inverse Problems and Imaging, Bd. 5 (4), S. 893 - 913.
  • Nguyen, Trung Thanh; Dinh Nho, Hao; Sahli, Hichem (2011) Thermal infrared technique for landmine detection: mathematical formulation and methods. Acta Mathematica Vietnamica, Bd. 36 (2), S. 469--504.
  • E. Klann, R. Ramlau, L. Reichel (2011) Wavelet-Based Multilevel Methods for Linear Ill-Posed Problems. BIT, Bd. 51 (3), S. 669-694.
  • Schulze, Rainer J.; Scherzer, Otmar; Zangerl, Gerhard; Holotta, Markus; Meyer, Dirk et al. [..] (2011, online: 2011) On the use of frequency-domain reconstruction algorithms for photoacoustic imaging. Journal of Biomedical Optics, Bd. 16 (8), S. 086002.
  • Sivananthan, Sampath; Naumova, Valeriya; Man, Chiara Dalla; Facchinetti, Andrea; Renard, Eric et al. [..] (2011) Assessment of Blood Glucose Predictors: The Prediction-Error Grid Analysis. Diabetes Technology & Therapeutics, Bd. 13 (8), S. 787-796. (link)
  • Sini, M. (2011) On uniqueness and reconstruction of rough and complex obstacles from acoustic scattering data. Comput. Methods Appl. Math, Bd. 11 (1), S. 83–104.
  • Nguyen, Trung Thanh; Sahli, Hichem; Dinh-Nho, Hao (2011) Detection and characterization of buried landmines using infrared thermography. Inverse Problems in Science and Engineering, Bd. 19 (3), S. 281--307.
  • E. Räsänen, A. Mühle, M. Aichinger, and R. J. Haug (2011, online: 2011) Observation of sequential spin flips in quantum rings. Physical Review B, Bd. 84, S. 165320.
  • Naumova, Valeriya; Pereverzyev, Sergei; Sampath, Sivananthan (2011) Extrapolation in variable RKHSs with application to the blood glucose reading. Inverse Problems, Bd. 27 (7), S. 13. (link)
  • E. Klann, R. Ramlau, W. Ring (2011) A Mumford-Shah level-set approach for the inversion and segmentation of SPECT / CT data. Inverse Problems in Imaging, Bd. 5 (1).
  • Lenzen, Frank; Scherzer, Otmar (2011) Partial Differential Equations for Zooming, Deinterlacing and Dejittering. International Journal of Computer Vision, Bd. 92 (2), S. 162-176.
  • Krutitskii, P.; Liu, J.; Sini, M. (2011) Numerical solution of the scattering problem for acoustic waves by a two-sided crack in 2-dimensional space. J. Comp. Math, Bd. 29 (2), S. 141–166.
  • Grasmair, Markus; Scherzer, Otmar; Haltmeier, Markus (2011, online: 2010) Necessary and Sufficient Conditions for Linear Convergence of l1-Regularization. Communications on Pure and Applied Mathematics, Bd. 64 (2), S. 161-182.
  • T. Helin, M. Lassas (2011) Hierarchical models in statistical inverse problems and the Mumford--Shah functional. Inverse Problems, Bd. 27 (1), S. 015008.
  • Lu, Shuai; Pereverzev, Sergei V. (2011) Multi-parameter regularization and its numerical realization. Numerische Mathematik, Bd. 118 (1), S. 1-31. (link)
  • Kowar, Richard; Scherzer, Otmar; Bonnefond, Xavier (2011, online: 2010) Causality analysis of frequency-dependent wave attenuation. Mathematical Methods in the Applied Sciences, Bd. 34 (1), S. 108-124.
  • R. Ramlau, W. Ring (2010) Regularization of linear operator equations by Perimeter constraints. Inverse Problems.
  • R. Ramlau, C. Zarzer (2010) On the optimization of a Tikhonov functional with non-convex sparsity constraints.
  • Nguyen, Trung Thanh; Sini, Mourad (2010) Accuracy of the linear sampling method for inverse obstacle scattering: effect of geometrical and physical parameters. Inverse Problems, Bd. 26 (12), S. 125004 (24pp). (link)
  • Pöschl, C.; Modersitzki, J.; Scherzer, Otmar (2010) A Variational Setting for Volume Constrained Image Registration. Inverse Problems and Imaging, Bd. 4 (3), S. 505-522 .
  • Zangerl, G.; Scherzer, Otmar (2010) Exact reconstruction in photoacoustic tomography with circular integrating detectors II: Spherical geometry. Mathematical Methods in the Applied Sciences, Bd. 33 (15), S. 1771-1782 .
  • Helin, Tapio (2010) On infinite-dimensional hierarchical probability models in statistical inverse problems. Inverse Problems and Imaging, Bd. 3 (4), S. 567-597.
  • Boulanger, Jérôme; Gidon, Alexandre; Kevran, Charles; Salamero, Jean (2010) A Patch-Based Method for Repetitive and Transient Event Detection in Fluorescence Imaging. PLoS ONE.
  • Pöschl, C.; Resmerita, E.; Scherzer, Otmar (2010) Discretization of variational regularization in {B}anach spaces. Inverse Problems, Bd. 26 (10), S. 105017 .
  • Matsuda, A.,; Lin, S.; Boulanger, J.; Kervrann, C.; Carlton, P. M. et al. [..] (2010) Condensed Mitotic Chromosome Structure at Nanometer Resolution Using PALM and EGFP-Histones. PLoS ONE, Bd. 5 (9) .
  • Carlton, P. M.; Boulanger, J.; Kervrann, C.; Sibarita, J.-B.; Salamero, J. et al. [..] (2010) Fast live simultaneous multiwavelength four-dimensional optical microscopy. Proceedings of the National Academy of Sciences of United States of America, Bd. 107 (37), S. 16016–16022 .
  • (2010) On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. Journal of Integral Equations and Applications, Bd. 22 (3), S. 483-517. (link)
  • F. Ben Hassen, ; Ivanyshyn, O.; Sini, M. (2010) The 3D acoustic scattering by complex obstacles. The accuracy issue. Inverse Problems, Bd. 26 (10), S. 1-29. (link)
  • Frick, K.; Scherzer, Otmar (2010) Regularization of ill-posed linear equations by the non-stationary augmented {L}agrangian method. Journal of Integral Equations and Applications, Bd. 22 (2), S. 217-257 .
  • Lenzen, F.; Scherzer, Otmar (2010) Partial Differential Equations for Zooming, Deinterlacing and Dejittering. International Journal of Computer Vision, Bd. 0920-5691, S. 1-15 .
  • Colutto, S.; Frühauf, F.; Fuchs, M.; Scherzer, Otmar (2010) The {CMA-ES} on Riemannian Manifolds to Reconstruct Shapes in {3-D} Voxel Images. IEEE Transactions on Evolutionary Computation, Bd. 14 (2), S. 227-245 .
  • Abhau, J.; Scherzer, Otmar (2010) A Combinatorial Method for Topology Adaptations in {3D} Deformable Models. International Journal of Computer Vision, Bd. 87 (3), S. 304-315 .
  • E. De Vito, S.V. Pereverzyev and L. Rosasco (2010) Adaptive Kernel Methods Using the Balancing Principle. Foundations of Computational Mathematics, Bd. 10 (4), S. 455-479.
  • Hofmann, Sergei V. Pererverzyev; Bernd (2010) Estimation of linear functionals from indirect noisy data without knowledge of the noise level. International Journal on Geomathematics, Bd. 1 (1), S. 121-131. (link)
  • Cakoni, F.; Nakamura, G.; Sini, M.; Zeev, N. (2010) The identification of a partially coated dielectric from far field measurements. Applicable Analysis, Bd. 89 (1), S. 67-86. (link)
  • Yi Heng, Shuai Lu, Adel Mhamdi and Sergei V Pereverzyev (2010) Model functions in the modified L-curve method—case study: the heat flux reconstruction in pool boiling. Inverse Problems, Bd. 26 (5), S. 13pp. (link)
  • Elbau, Peter; Grasmair, Markus; Lenzen, Frank; Scherzer, Otmar (2010) Evolution by Non-Convex Functionals. Numerical Functional Analysis and Optimization, Bd. 31 (4), S. 489 - 517 .
  • Liu, J.; Sini, M. (2010) Reconstruction of cracks of different types from far field measurements. Mathematical methods in Applied Sciences, Bd. 33 (8), S. 950–973 . (link)
  • Potthast, R.; Sini, M. (2010) The No-response Test for the reconstruction of polyhedral objects in electromagnetics. J. Comp. Appl. Math, Bd. 234 (6), S. 1739–1746. (link)
  • Boulanger, Jérôme; Kevrann, Charles; Salamero, Jean; Elbau, Peter; Sibarita, Jean-Baptiste; et al. [..] (2010) Patch-Based Non-Local Functional for Denoising Fluorescence Microscopy Image Sequences. IEEE Transactions on Medical Imaging, Bd. 29 (2), S. 442-454.
  • Ronny Ramlau, Elena Resmerita (2010) Convergence rates for regularization with sparsity constraints. ETNA.
  • Aichinger, Michael; Janecek, Stefan; Räsänen, Esa (2010) Billiards in magnetic fields: A molecular dynamics approach.
  • Nguyen, Trung Thanh; Sini, Mourad (2009) An analysis of the accuracy of the linear sampling method for an acoustic inverse obstacle scattering problem. Inverse Problems, Bd. 26 (1), S. 015010 (29pp).
  • Engl HW, Flamm C, Kügler P, Lu J, Müller S, Schuster P (2009) Inverse Problems in Systems Biology. Inverse Problems, Bd. 25 (12), S. 1-51. (link)
  • Haltmeier, Markus; Scherzer, Otmar; Zangerl, Gerhard (2009) A Reconstruction Algorithm for Photoacoustic Imaging Based on the Nonuniform FFT. IEEE Transactions on Medical Imaging, Bd. 28 (11), S. 1727-1735.
  • Niesen, N. Bıla and J. (2009) A NEW CLASS OF SYMMETRY REDUCTIONS FORPARAMETER IDENTIFICATION PROBLEMS. Journal of Nonlinear Mathematical Physics, Bd. Vol. 16 (No. 3), S. 355–371.
  • Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus (2009) Exact series reconstruction in photoacoustic tomography with circular integrating detectors. Communications in Mathematical Sciences, Bd. 7 (3), S. 665-678.
  • Pikkarainen, Hanna Katriina; Schicho, Josef (2009) A Bayesian model for root computation. Mathematics in Computer Science, Bd. 2 (4), S. 567-586. (link)
  • Abhau, Jochen; Scherzer, Otmar (2009) A Combinatorial Method for Topology Adaptations in 3D Deformable Models. International Journal of Computer Vision.
  • Scherzer, Otmar; Fellin, Wolfgang; Frühauf, Florian; Heilig, Achim; Schneebeli, Martin (2009) Experiments and algorithms to detect snow avalanche victims using airborne ground-penetrating radar. IEEE Transactions on Geoscience and Remote Sensing, Bd. 47 (7), S. 2240 - 2251.
  • Liu, Jijun; Sini, Mourad (2009) On the accuracy of the numerical detection of complex obstacles from far field data using the probe method. SIAM Journal of Scientific Computing, Bd. 31 (4), S. 717-730 . (link)
  • H.W. Engl, C.B. Drab, J.R. Haslinger, G. Offner, R.U. Pfau (2009) Dynamic Simulation of Crankshaft Multibody Systems. Multibody System Dynamics, S. 133-144.
  • M. Fornasier, R. Ramlau and G. Teschke (2009) The application of joint sparsity and total variation minimization algorithms to a real-life art restoration problem. Adv. Comput. Math., Bd. 31 (1-3), S. 157-184.
  • Ronny Ramlau, Jenny Niebsch (2009) Imbalance Estimation Without Test Masses for Wind Turbines. Journal of Solar Energy Engineering.
  • Scherzer, Otmar; Jüttler, Bert; Fuchs, Matthias; Yang, Huaiping (2009) Shape Metrics Based on Elastic Deformations. Journal of Mathematical Imaging and Vision, Bd. 35 (1), S. 86-102.
  • Hofinger, Andreas; Pikkarainen, Hanna Katriina (2009) Convergence rates for linear inverse problems in the presence of an additive normal noise. Stochastic Analysis and Applications, Bd. 27 (2), S. 240-257 . (link)
  • R.Ramlau, L.Justen and (2009) A general framework for Soft-Shrinkage with Applications to blind deconvolution and wavelet denoising. Appl. Comp. Harmon. Anal, Bd. 26 (1), S. 43-63.
  • L. He, S. Kindermann and M. Sini (2009) Reconstruction of shapes and surface impedances using few far field measurements. Journal of Computational physics.
  • Zarzer, Clemens A (2009) On Tikhonov regularization with non-convex sparsity constraints. Inverse Problems, Bd. 25 (2), S. 13 . (link)
  • H.W. Engl, S. Müller, J. Lu, P. Kügler (2008) Parameter identification in systems biology: solving ill-posed inverse problems using regularization. RICAM Report 2008-25.
  • H.W. Engl, V. Capasso, S. Kindermann (2008) Parameter identification in a random environment exemplified by a multiscale model for crystal growth. SIAM Multiscale Modeling and Simulation.
  • R. Ramlau, G. Teschke, and M. Zhariy (2008) A Compressive Landweber Iteration for Solving Ill-Posed Inverse Problems. Inverse Problems.
  • H.W. Engl, S. Kindermann, P. Mayer, H. Albrecher (2008) Identification of the local speed function in a Levy model for option pricing. Journal of Integral Equations and Applications, Bd. 20, S. 161-200.
  • Ramlau, R. (2008) Regularization properties of Tikhonov regularization with sparsity constraints. Electronic Transactions on Numerical Analysis (30), S. 54-74.
  • S. Anzengruber, F. Bauer, A. Leitão, R. Ramlau (2008) New algorithms for parallel MRI. Journal of Physics: Conference Series, Bd. 135, S. 8p. (link)
  • Neubauer, Andreas; Pikkarainen, Hanna Katriina (2008) Convergence results for the Bayesian inversion theory. Journal of Inverse and Ill-posed Problems, Bd. 16 (6), S. 601-613 . (link)
  • Sini, Eva Sincich and Mourad (2008) Local stability for soft obstacles by a single measurement. Inverse Problems and Imaging, Bd. 2 (2), S. 301--315.
  • C.L. Lin, G. Nakamura, M. Sini (2008) Unique continuation for transversally isotropic dynamical systems and its applications. Journal of Differential Equations, Bd. 245, S. 3008-3024,.
  • Klann, Esther; Ramlau, Ronny (2008) Regularization by fractional filter methods and data smoothing. Inverse Problems, Bd. 24 (4), S. 501-526.
  • N. Honda, G. Nakamura, R. Potthast, M. Sini (2008) The no-response approach and its relation to other sampling methods. Annali di Matematica Pura ed Applicata.
  • E. Resmerita, H.W. Engl, A.N. Iusem (2007) The EM algorithm for ill-posed integral equations: a convergence analysis. Inverse Problems, Bd. 23, S. 2575-2588.
  • Engl, H.W. (2007) Identification of the local speed function in a Levy model for option pricing. Journal of Integral Equations and Applications.
  • A. Hofinger, H.K. Pikkarainen (2007) Convergence rates for the Bayesian approach to linear inverse problems. Inverse Problems, Bd. 23 (6), S. 2469-2484. (link)
  • Christoph Flamm, Lukas Endler, Stefan Müller, Stefanie Widder, Peter Schuster (2007) A minimal and self-consistent in silico cell model based on macromolecular interactions. Phil Trans R Soc Lond B Biol Sci, Bd. 362 (1486), S. 1831-1839. (link)
  • G. Nakamura, M. Sini (2007) Obstacle and boundary determination from scattering data. Siam J. Math. Anal.
  • J.J. Liu, J.K. Seo, M. Sini, E.J. Woo (2007) On the convergence of the harmonic $B_z$ algorithm in MREIT. Siam J. Appl. Math.
  • Klann, E.; Kuhn, M.; Lorenz, D.A.; Maass, P.; Thiele, H. (2007) Shrinkage versus deconvolution. Inverse Problems, Bd. 23 (5), S. 2231-2248.
  • J.J. Liu, G. Nakamura, M. Sini (2007) Reconstruction of the shape and surface impedance from acoustic scattering data for arbitrary cylinder. Siam J. Appl. Math.
  • A. Morassi, G. Nakamura, K. Shirota, M. Sini (2007) A variational approach for the inverse dynamical problem for connected beams. Europ. Journal. Appl. Math.
  • J.M.J. Huttunen, H.K. Pikkarainen (2007) Discretization error in dynamical inverse problems: one-dimensional model case. Journal of Inverse and Ill-posed Problems, Bd. 15 (4), S. 365-386. (link)
  • Burger, M.; Eisenberg, R.; Engl, H. (2007) Inverse problems related to ion channel selectivity. SIAM Journal on Applied Mathematics, Bd. 67, S. 960-989.
  • Engl, H.W. (2007) Calibration problems – an inverse problem view. WILMOTT, S. 16-20.
  • S. Kindermann, R. Ramlau (2007) Surrogate Functional and Tresholding for Inverse Interface problems. J. of Inv. and Ill-Posed Problems, Bd. 15 (4), S. 387-402.
  • Müller S, Hofbauer J, Flamm C, Endler L, Schuster P (2006) A Generalized Model of the Repressilator. Journal of Mathematical Biology, Bd. 53 (6), S. 905-937. (link)
  • J. Lu, H.W. Engl, P. Schuster (2006) Inverse bifurcation analysis: application to simple gene systems. Algorithms for Molecular Biology, Bd. 1(11). (link)
  • G. Nakamura, R. Potthast, M. Sini (2006) Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Communication in PDE.
  • E. Klann, P. Maass, R. Ramlau (2006) Two-step regularization methods for linear inverse problems. Journal of Inverse and Ill Posed Problems, Bd. 14(6), S. 583-607.
  • Machne R, Finney A, Müller S, Lu J, Flamm C (2006) The SBML ODE Solver Library: a native API for symbolic and fast numerical analysis of reaction networks. Bioinformatics, Bd. 22 (11), S. 1406-7. (link)
  • Pikkarainen, H.K. (2006) State estimation approach to nonstationary inverse problems: discretization error and filtering problem. Inverse Problems, Bd. 22 (1), S. 365-379. (link)
  • Egger, H.; Engl, H.W.; Klibanov, M.V. (2005) Global Uniqueness and Hölder Stability for Recovering a Nonlinear Source Term in a Parabolic Equation. Inverse Problems, Bd. 21(1), S. 271-290. (link)
  • Engl, H.; Hofinger, A.; Kindermann, S. (2005) Convergence Rates in the Prokhorov Metric for Assessing Uncertainty in Ill-Posed Problems. Inverse Problems, Bd. 21, S. 399-412. (link)
  • Engl, H.; Fusek, P.; Pereverzyev, S. (2005) Natural linearization for the identification of nonlinear heat transfer laws. Journal of Inverse and Ill-posed Problems, Bd. 13(6), S. 567-582.
  • Egger, H.; Engl, H.W. (2005) Tikhonov Regularization Applied to the Inverse Problem of Option Pricing: Convergence Analysis and Rates. Inverse Problems, Bd. 21(3), S. 1027-1045. (link)
  • Christian Gerhalds, Sergiy Pereverzyev Jr. and Pavlo Tkachenko (online: 2017) Joint Inversion of Multiple Observations. Handbook of Mathematical Geodesy Geosystems Mathematics, S. 861-888.
  • with J. Abhau, O. Aichholzer, S. Colutto, B. Kornberger Shape spaces via medial axis transforms for segmentation of complex geometry in 3D voxel data. Inverse Problems and Imaging, Bd. 7 (1), S. 1-25 . (link)
  • Andreev, Roman Wavelet-in-time multigrid-in-space preconditioning of parabolic evolution equations. RICAM report, Bd. n/a, S. n/a. (link)
  • Andreev, R.; Elbau, P.; de Hoop, M. V.; Qiu, L.; Scherzer, O. Generalized convergence rates results for linear inverse problems in Hilbert spaces. arXiv, Bd. n/a, S. n/a. (link)
  • Anzengruber, Stephan W; Hofmann, Bernd; Bürger, Steven; Steinmeyer, Günter Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization. Inverse Problems.
  • Beigl, Alexander; Elbau, Peter; Sadiq, Kamran; Scherzer, Otmar (online: 2018) Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM. Inverse Problems, Bd. 5 (34).
  • Andreev, Roman; Scherzer, Otmar; Zulehner, Walter Simultaneous optical flow and source estimation: space-time discretization and preconditioning. RICAM report, Bd. n/a, S. n/a. (link)
  • Hrushikesh Mhaskar, Sergei Pereverzyev and Maria D. Van Der Walt (online: 2017) A deep learning approach to diabetic blood glucose prediction. Frontiers in Applied Mathematics and Statistics, S. 18 <'http://journal.frontiersin.org/article/10.3389/fams.2017.00014/abstract'>. (link)
  • with M. Grasmair, A. Vanhems Imaging nonparametric instrumental regression with non-convex constraints. Inverse Problems, Bd. 29, S. 16.
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (online: 2017) The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. GEM, S. 1-21.
  • Mercier, Gwenael (online: 2017) Continuity results for TV-minimizers.
  • with G. Bal, W. Naetar, J. Schotland The Levenberg-Marquardt iteration for numerical inversion of the power density operator. Journal of Inverse and Ill-Posed Problems, Bd. 21, S. 265-280.

Book/Monograph
  • Naumova, Valeriya; Nita, Lucian; Poulsen, Jens Ulrik; Pereverzyev, Sergei V. (2016, online: 2016) Meta-Learning Based Blood Glucose Predictor for Diabetic Smartphone App. In Reihe: Lecture Notes in Bioengineering, hrsg. v. Kirchsteiger, Harald; Jørgensen, John Bagterp; Renard, Eric; Re, Luigi del, 1. Aufl.: Springer International Publishing. (link)
  • Sini, Mourad (2015, online: 2015) Inverse Spectral Problems, 1-D, Theoretical Results. In Reihe: Encyclopedia of Applied and Computational Mathematics, Bd. 2015. (link)
  • Sini, Mourad (2015, online: 2015) Inverse Spectral Problems, 1-D, Theoretical Results. In Reihe: Encyclopedia of Applied and Computational Mathematics, Bd. 2015. (link)
  • I. Graham, ; U. Langer, ; J. M. Melenk, ; Sini, M. (2013, online: 2013) Direct and Inverse Problems in Wave Propagation and Applications. In Reihe: Radon Series on Computational and Applied Mathematics, ISBN-10: 3110282232, ISBN-13: 978-3110282238. Aufl.: Walter De Gruyter Inc.
  • Pereverzyev, Sergiy V.; Lu, Shuai (2013, online: 2013) Regularization Theory for Ill-Posed Problems. Selected Topics. In Reihe: Inverse and Ill-Posed Problems Series, hrsg. v. Kabanikhin, Sergei; Berlin, Boston: DeGruyter (287 Seiten). (link)
  • Naumova, V. (2012, online: 2012) Numerical Methods for Diabetes Technology: Mathematical Algorithms for a Better Management of Type 1 Diabetes.: LAP LAMBERT Academic Publishing (176 Seiten). (link)
  • Sergei Pereverzyev, Shuai Lu (2010) Multiparameter Regularization in Downward Continuation of Satellite Data., hrsg. v. Willi Freeden, M. Zuhair Nashed, Thomas Sonar; Berlin: Springer (21 Seiten). (link)
  • Lu, Shuai; Jr., Sergiy Pereverzyev; Sampath, Sivananthan Multi-parameter regularizationfor construction of extrapolating estimators instatistical learning theory. In Reihe: Lecture Notes in Electrical Engineering, hrsg. v. Xiaoping Shen, Ahmed I Zayed: Springer.

Conference Contribution: Publication in Proceedings
  • Valuch, C.; Ansorge, U.; Buchinger, S.; Patrone, A. R.; Scherzer., O. (2014) The effect of cinematic cuts on human attention. (ACM International Conference on Interactive Experiences for TV and Online Video, TVX '14); Newcastle, S. 119-122.
  • Ansorge, U.; Buchinger, S.; Valuch, C.; Patrone, A. R.; Scherzer, O. (2014) Visual Attention in Edited Dynamical Images. (11th International Conference on Signal Processing and Multimedia Applications (SIGMAP-2014)) In Reihe: Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications, S. 198-205.
  • Scherzer, O. (2013) Regularization of Ill-posed Linear Equations by the Non-stationary Augmented Lagrangian Method. In: Keller, A.; Kuo, F.; Neuenkirch, A.; Traub, J. F. (Hrsg.) (Dagstuhl Seminar 12391); Dagstuhl, Germany: Schloss Dagstuhl: Leibniz-Zentrum fuer Informatik, S. 219.
  • Dong, G.; Kang, S.H.; Grasmair, M.; Scherzer, O. (2013) Scale and Edge Detection with Topological Derivatives of the Mumford-Shah Functional. In: Kuijper, A. (Hrsg.), Proceedings of the fourth International Conference on Scale Space and Variational Methods in Computer Vision (SSVM'13) In Reihe: Lecture Notes in Computer Science 7893, Bd. 5; Berlin, Heidelberg: Springer-Verlag, S. 404-415.
  • Kirisits, C.; Lang, L.F.; Scherzer, O. (2013) Optical Flow on Evolving Surfaces with an Application to the Analysis of 4D Microscopy Data. In: Kuijper, A. (Hrsg.), Proceedings of the fourth International Conference on Scale Space and Variational Methods in Computer Vision (SSVM'13) In Reihe: Lecture Notes in Computer Science 7893, Bd. 5; Berlin, Heidelberg: Springer-Verlag, S. 246-257.
  • Iglesias, J. A.; Berkels, B.; Rumpf, M.; Scherzer, O. (2013) A Thin Shell Approach to the Registration of Implicit Surfaces. In: Bronstein, M.; Favre, J.; Hormann, K. (Hrsg.), Vision, Modeling & Visualization (VMV 2013); Lugano, S. 89-96.
  • Kirisits, C.; Scherzer, O. (2012) Convex Variational Regularization Methods for Inverse Problems., Frontiers in Nonparametric Statistics (Frontiers in Nonparametric Statistics) In Reihe: Oberwolfach Reports.
  • Elbau, P.; Kirsch, A.; Scherzer, O.; Schulze, R. (2012) Photoacoustic and Coupled Physics Imaging., Inverse Problems for Partial Differential Equations (Inverse Problems for Partial Differential Equations) In Reihe: Oberwolfach Reports.
  • Naumova, Valeriya; Pereverzyev, Sergei V.; Sampath, Sivananthan (2011) Reading Blood Glucose from Subcutaneous Electric Current by Means of a Regularization in Variable Reproducing Kernel Hilbert Spaces. (50th IEEE Conference on Decision and Control and European Control Conference), S. 5158-5163.
  • Sini, Mourad; Nguyen, Trung Thanh (2011) Reconstruction of acoustic obstacles using multifrequency scattering data., Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves (The 10th International Conference on Mathematical and Numerical Aspects of Waves); Vancouver: Pancific Institute for the Mathematical Sciences, S. 477--480.
  • Nguyen, Trung Thanh; Dinh Nho, Hao; Sahli, Hichem (2011) Passive infrared technique for buried object detection and classification., Proceedings of the Computer Vision and Pattern Recognition workshops, IEEE Computer Society Conference (8th IEEE Workshop on Object Tracking and Classification beyond Visible Spectrum, IEEE Computer Society Conference on Computer Vision and Pattern Recognition): IEEE Computer Society, S. 1--6. (link)
  • Fuchs, Matthias; Scherzer, Otmar (2011, online: 2011) Regularized reconstruction of M-Rep shapes with statistical a priori knowledge., Trends in Mathematical Imaging and Surface Processing (Trends in Mathematical Imaging and Surface Processing) In Reihe: Oberwolfach Reports.
  • Boulanger, Jérôme; Elbau, Peter; Pontow, Carsten; Scherzer, Otmar (2011) Non-Local Functionals for Imaging. In: Bauschke, Heinz; Burachik, Regina; Combettes, Patrick; Elser, Veit; Luke, Russell et al. [..] (Hrsg.), Fixed-Point Algorithms for Inverse Problems in Science and Engineering: Springer.
  • Frühauf, Florian; Pontow, Carsten; Scherzer, Otmar (2011, online: 2011) Texture Enhancing Based on Variational Image Decomposition. In: Bergounioux, Maïtine (Hrsg.), Mathematical Image Processing (Mathematics and Image Processing) In Reihe: Springer Proceedings in Mathematics; Berlin Heidelberg: Springer, S. 127-140.
  • Kowar, R.; Scherzer, Otmar (2010) Photoacoustic Imaging taking into account Attenuation., Mathematics and Algorithms in Tomography, S. 54-56 .
  • Sivananthan, R. Radha and S. (2010) LOCAL RECONSTRUCTION FROM A NON UNIFORMSAMPLED DATA AND SOME ILLUSTRATION. (Emerging trends in wavelet applications in medical image processing); Chennai.
  • Nguyen, Trung Thanh; Sini, Mourad (2010) On the accuracy of the linear sampling method for inverse accoustic obstacle scattering problems. In: Murillo, J.A.; Periago, F. (Hrsg.), Proceedings of the Fifth international conference on inverse problems, control and shape optimization (Fifth international conference on inverse problems, control and shape optimization); Cartagena, S. 261-267.
  • Kervrann, Charles; Boulanger, Jérôme; Pécot, Thierry; Pérez, Patrick (2009) Discriminant random field and patch-based redundancy analysis for image change detection., Proc. IEEE Int. Workshop on Machine Learning for Signal Processing (MLSP'09); Grenoble.
  • Pereverzyev, Sergei; Sampath, Sivananthan (2009) Regularized Learning Algorithm for Prediction of Blood Glucose Concentration in ``No Action Period''. In: Perumal Nithiarasu, Rainald Löhner and Raoul van Loon (Hrsg.), 1st International Conference on Computational & Mathematical Biomedical Engineering (1st International Conference on Computational & Mathematical Biomedical Engineering) In Reihe: CMBE09; Linz: CMBE, S. 395-398.
  • Brandt, C.; Karimi, H.R.; Piotrowska, I.; Niebsch, J.; Ramlau, R.; Krause, A.; Riemer, O.; Maaß, P. (2008) Process Machine Interaction Model for Turning Processes., Proceedings of the 1st International Conference on Process Machine Interactions; Hannover.
  • Arning, Kattrin; Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W.; He, Lin (2008) Inverse problems related to ion channels. In: ICIAM07 (Hrsg.), PAMM: Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007 (ICIAM07); Weinheim: WILEY-VCH Verlag, S. 1120801-1120802.
  • Jenny Niebsch, Ronny Ramlau (2008) Mathematical Imbalance Determination from Vibrational Measurements and Industrial Applications. (2008 ASME DETC & Computers and Information in Engineering Conference (CIE) 2008).
  • Neubauer, Andreas; Pikkarainen, Hanna Katriina (2008) Convergence rate for the Bayesian inversion theory. (Sixth International Congress on Industrial Applied Mathematics (ICIAM07)) In Reihe: Proceedings in Applied Mathematics and Mechanics, S. 1080103-1080104 . (link)
  • Lu J, Müller S, Machné R, Flamm C (2008) SBML ODE Solver Library: Extensions for Inverse Analysis., TICSP #41: Fifth International Workshop on Computational Systems Biology, WCSB 2008 (Fifth International Workshop on Computational Systems Biology, WCSB 2008, June 11-13, 2008, Leipzig, Germany) In Reihe: Tampere International Center for Signal Processing Series; Tampere: Tampere International Center for Signal Processing . (link)
  • Sini, Mourad (2008) Reconstruction of complex obstacles by farfield measurements. In: Uhlmann, G. (Hrsg.) In Reihe: J. Phys.: Conf. Ser.: Institute of Physics.
  • Sini, M. (2008) Reconstruction of complex cracks by far field measurements. In: Charalambopolos, Fotiadis, Polyzos. (Hrsg.), Proceedings of the eighth international workshop on mathematical methods in scattering theory and biomedical engineering; Lefkada (Greece): World Scientific, S. 82-89.
  • Ronny Ramlau, ; Esther Klann, ; Ring, Wolfgang (2007) Simultaneous Reconstruction and Segmentation for Tomography Data. (Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007) In Reihe: PAMM; Weinheim: WILEY-VCH Verlag GmbH & Co. KGaA, S. 1050301-1050302 .
  • H.W. Engl, J. Lu, R. Machné, P. Schuster (2007) Inverse bifurcation analysis of a model for the mammalian G1/S regulatory module. In: Verlag, Springer (Hrsg.), Proceedings of Bioinformatics in Research and Devlopment, Lecture Notes in Bioinformatics (LNBI 4414), S. 168-184.
  • G. Nakamura, R. Potthast, M. Sini (2006) A comparative study between some non-iterative methods for the inverse scattering., Contemporary Mathematics of AMS.
  • H.W. Engl, G. Gökler, A. Schatz, H. Zeisel (2006) Modelling and numerics for the transient simulation of the blast furnace process., Proceedings of Shanghai Forum on Industrial and Applied Mathematics 2006.
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (online: 2017) Modeling polarization-sensitive OCT using inverse scattering techniques. (OSA Imaging and Applied Optics Congress, San Francisco, California, United States) In Reihe: Imaging and Applied Optics, Bd. 33, S. MW3C.3.
  • Jenny Niebsch, Ronny Ramlau Imbalances in high precision cutting machinery. (ASME 2009 International Design Engineering Technical Conferences IDETC); San Diego.
  • Galyna Kriukova, Nadiya Shvai, Sergei V. Pereverzyev Application of Regularized Ranking and Collaborative Filtering in Predictive Alarm Algorithm for Nocturnal Hypoglycemia Prevention. (The 9th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications); Romania.
  • Dong, Guozhi; Scherzer, Otmar (online: 2017) Nonlinear Flows for Displacement Correction and Applications in Tomography. (International Conference on Scale Space and Variational Methods in Computer Vision) In Reihe: Lecture Notes in Computer Science, Bd. 33: Springer, S. 283-294.

Conference Contribution: Poster (in Proceedings)
  • Naumova, Valeriya; Pereverzyev, Sergei V. (2013, online: 2013) Data-Driven and Problem-Oriented Multiple-Kernel Learning (Poster). International Workshop on advances in Regulariza- tion, Optimization, Kernel Methods and Support Vector Machines: theory and applications . (link)
  • S. Sivananthan, V. Naumova, C. Dalla Man, A. Facchinetti, E. Renard, C. Cobelli, S. V. Pereverzev (2011) Assessment of blood glucose predictors: the Prediction-Error Grid Analysis (PRED-EGA) (Poster). The 4th International Conference on Advanced Technologies & Treatments in Diabetes.

Contribution in Collection
  • Iglesias, José A.; Kirisits, Clemens (2017) Convective regularization for optical flow. In: Bergounioux, Maitine; Peyré, Gabriel; Schnörr, Christoph; Caillau, Jean-Baptiste; Haberkorn, Thomas (Hrsg.), Variational Methods in Imaging and Geometric Control: Walter de Gruyter GmbH & Co. KG, S. 184–201.
  • Fokas, Athanassios S.; Kalimeris, Konstantinos (2016) A novel non-local formulation of water waves. In: Bridges, Thomas J.; Groves, Mark D.; Nicholls, David P. (Hrsg.), Lectures on the Theory of Water Waves: London Mathematical Society.
  • Engl, Heinz W.; Ramlau, Ronny (2015) Regularization of Inverse Problems. In: Engquist, Björn (Hrsg.), Encyclopedia of Applied and Computational Mathematics: Springer, S. 1233-1241.
  • Iglesias, José A.; Kimmel, Ron (2012) Schrödinger Diffusion for Shape Analysis with Texture. In: Fusiello, Andrea; Murino, Vittorio; Cucchiara, Rita (Hrsg.), Computer Vision – ECCV 2012. Workshops and Demonstrations; Berlin Heidelberg: Springer Verlag, S. 123-132.
  • Lu, S.; Jr., S. Pereverzyev; Sampath, S. (2012, online: 2012) Multi-parameter regularization for construction of extrapolating estimators in statistical learning theory. In: Xiaoping Shen, Ahmed I. Zayed (Hrsg.), Multiscale Signal Analysis and Modeling: Springer, S. 347-366.
  • Kowar, R.; Scherzer, O. (2012) Photoacoustic Imaging Taking into Account Attenuation. In: Ammari, Habib (Hrsg.), Mathematical Modeling in Biomedical Imaging II: Optical, Ultrasound, and Opto-Acoustic Tomographies; New York: Springer.
  • Pontow, C.; Scherzer, O. (2012) Analytical Evaluations of Double Integral Expressions Related to Total Variation. In: Langer, U.; Paule, P. (Hrsg.), Numerical and Symbolic Scientific Computing: Progress and Prospects; New York: Springer.
  • Pöschl, Christiane; Scherzer, Otmar (2011, online: 2011) Distance Measures and Applications to Multi-Modal Variational Imaging. In: Scherzer, Otmar (Hrsg.), Handbook of Mathematical Methods in Imaging, 1. Aufl.; New York: Springer.
  • R. Ramlau, G. Teschke (2010) Sparse recovery in Inverse Problems. In: Fornasier, M. (Hrsg.), Theoretical foundations and numerical methods for sparse recovery: De Gryter, S. 201-262.
  • Grasmair, M.; Haltmeier, M.; Scherzer, Otmar (2010) Sparsity in Inverse Geophysical Problem. In: Freeden, W.; Nashed, M. Z.; Sonar, T. (Hrsg.), Handbook of Geomathematics: Springer Berlin Heidelberg, S. 763-784 .
  • Pereverzyev, Hui Cao and Sergei (2010) Regularization of naturally linearized parameter identification problems and the application of the balancing principle. In: Yanfei Wang, Anatoly G. Yagola and Changchun Yang (Hrsg.), Optimization and regularization for computational inverse problems and applications: Springer, S. 65-106. (link)
  • Kindermann, Stefan; Pikkarainen, Hanna Katriina (2009) Regularization of Inverse Problems and its Application to the Calibration of Option Price Models. In: Albrecher, Hansjoerg; Runggaldier, Wolfgang J.; Schachermayer, Walter (Hrsg.), Advanced Financial Modelling, 8. Aufl.; Berlin: Walter de Gruyter, S. 223-244.
  • Heinz W. Engl, Philipp Kügler (2005) Nonlinear Inverse Problems: Theoretical Aspects and Some Industrial Applications. In: V. Capasso, J. Periaux (Hrsg.), Multidisciplinary Methods for Analysis, Optimization and Control of Complex Systems: Springer Heidelberg, S. 3-48.
  • Kuchment, P.; Scherzer, O. Mathematical Methods in Photo- and Thermoacoustic Imaging.

Dissertation
  • Tkachenko, Pavlo (2016) Regularization in RKHS with applications in geoscience and learning theory. Doktorarbeit, Johann Radon Institute for Computational and Applied Mathematics, Johannes Kepler University, Linz.
  • Naumova, V. (2012) Numerical Methods for Diabetes Technology., Johannes Kepler University, Johannes Kepler University, Linz.

Editorship
  • Scherzer, Otmar (Hrsg.) (2011, online: 2011) Handbook of Mathematical Methods in Imaging., 1. Aufl.; New York: Springer.