Publications

2018

Peer Reviewed Journal Publication
  • R. Hofer, A. Winterhof (2018) r-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm. Cryptography and Communications, Bd. to appear, S. 1-7.
  • I. Shparlinski, A. Winterhof (2018) Codes correcting restricted errors. Designs, Codes and Cryptography, Bd. to appear, S. 1--10.
  • Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph; Maillard, Jean-Marie (2018) Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms. Journal of Physics A: Mathematical and Theoretical, Bd. 51 (45), S. 455201. (link)
  • S. Hodžić, W. Meidl, E. Pasalic (2018) Full characterization of generalized bent functions as (semi)-bent spaces, their dual, and the Gray image. IEEE Trans. Inform. Theory, Bd. 64 (7), S. 5432--5440.
  • R. Hofer, A. Winterhof (2018) On the 2-adic complexity of the two-prime generator. IEEE Transactions Information Theory, Bd. 64 (8), S. 5957--5960.
  • Ramlau, Ronny; Scherzer, Otmar (2018) The first 100 years of the Radon transform. Inverse Probl., Bd. 34 (9), S. ARTN 090201.
  • Kunisch, Karl; Souza, Diego A. (2018) On the one-dimensional nonlinear monodomain equations with moving controls. J. Math. Pures Appl., Bd. 117, S. 94-122.
  • L. Merai, A. Winterhof (2018) On the pseudorandomness of some automatic sequences. Cryptography and Communications, Bd. 10 (6), S. 1013--1022.
  • Alonso, Mariemi E.; Castro-Jimenez, Francisco J.; Hauser, Herwig; Koutschan, Christoph (2018) Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation. Bulletin of the London Mathematical Society, Bd. 50 (4), S. 649-662. (link)
  • 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)
  • A. Cesmelioglu, W. Meidl, A. Pott (2018) Vectorial bent functions and their duals. Linear Algebra Appl., Bd. 548, S. 305-320.
  • N. Anbar, W. Meidl (2018) Modified planar functions and their components. Cryptogr. Commun., Bd. 10 (2), S. 235-249.
  • Vo, Thieu N.; Grasegger, Georg; Winkler, Franz (2018) Computation of all rational solutions of first-order algebraic ODEs. Advances in Applied Mathematics, Bd. 98, S. 1-24. (link)
  • Vo, N. Thieu; Grasegger, Georg; Winkler, Franz (2018, online: 2017) Deciding the existence of rational general solutions for first-order algebraic ODEs. Journal of Symbolic Computation, Bd. 87, S. 127-139. (link)
  • Z. Peng, ; Kunisch, K. (2018) Optimal Control of Elliptic Variational–Hemivariational Inequalities. Journal of Optimization Theory and Applications, Bd. 178 (1), S. 1-25.
  • Takacs, Stefan (2018) Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations. Mathematical Models and Methods in Applied Sciences, Bd. 28 (10), S. 1899-1928. (link)
  • Kapl, Mario; Vito, Vitrih (2018, online: 2017) Dimension and basis construction for C2-smooth isogeometric spline spaces over bilinear-like G2 two-patch parameterizations. Journal of Computational and Applied Mathematics, Bd. 335, S. 289-311.
  • 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)
  • Hubmer, Simon; Sherina, Ekaterina; Neubauer, Andreas; Scherzer, Otmar (2018) Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems. SIAM J. Imaging Sci., Bd. 11 (2), S. 1268-1293.
  • Chen, Shaoshi; Koutschan, Christoph (2018) Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. Journal of Symbolic Computation, Bd. to appear, S. ?-?. (link)
  • Koutschan, Christoph; Zhang, Yi (2018) Desingularization in the q-Weyl algebra. Advances in Applied Mathematics, Bd. 97, S. 80-101. (link)
  • Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias (2018) Lower bounds on the number of realizations of rigid graphs. Experimental Mathematics, Bd. to appear, S. ?-?. (link)
  • Kalise, Dante; Kunisch, Karl (2018) POLYNOMIAL APPROXIMATION OF HIGH-DIMENSIONAL HAMILTON JACOBI BELLMAN EQUATIONS AND APPLICATIONS TO FEEDBACK CONTROL OF SEMILINEAR PARABOLIC PDES. SIAM J. Sci. Comput., Bd. 40 (2), S. A629-A652.
  • O. Roche-Newton, I. Shkredov, A. Winterhof (2018) Packing sets over finite abelian groups. Integers, Bd. 18 (Paper No. A38), S. 9 pp.
  • Mérai, L. (2018) On the elliptic curve endomorphism generator. Des. Codes Cryptogr., Bd. 86 (5), S. 1113–1129.
  • G. Peralta, ; Kunisch, K. (2018) Interface stabilization of a parabolic-hyperbolic pde system with delay in the interaction. AIMS: Discrete and Continuous Dynamical Systems, Bd. 38 (6), S. 3055-3083.
  • Guo, Ting; Krattenthaler, Christian; Zhang, Yi (2018) On (shape-)Wilf-equivalence for words. Advances in Applied Mathematics, Bd. 100, S. 87-100. (link)
  • Clason, Christian; Kruse, Florian; Kunisch, Karl (2018) TOTAL VARIATION REGULARIZATION OF MULTI-MATERIAL TOPOLOGY OPTIMIZATION. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., Bd. 52 (1), S. 275-303.
  • Gallet, Matteo and Ranestad, Kristian and Villamizar, Nelly (2018) Varieties of apolar subschemes of toric surfaces. Arkiv foer Mathematik, Bd. 56 (1), S. 73-99.
  • Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar (2018) A note on convergence of solutions of total variation regularized linear inverse problems. Inverse Problems, Bd. 34 (5), S. 055011. (link)
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (2018, online: 2017) The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. GEM - International Journal on Geomathematics, Bd. 9 (1), S. 145-165.
  • Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas (2018, online: 2017) Construction of analysis-suitable G1 planar multi-patch parameterizations. Computer-Aided Design, Bd. 97, S. 41-55.
  • Dick, Josef; Irrgeher, Christian; Leobacher, Gunther; Pillichshammer, Friedrich (2018) On the optimal order of integration in Hermite spaces with finite smoothness. SIAM Journal on Numerical Analysis, Bd. 56 (2), S. 684-707.
  • M. Su, A. Winterhof (2018) Hamming correlation of higher order. Advances in Mathematics of Communications, Bd. 12 (3), S. 505--513.
  • Sergei V. Pereverzyev, Shuai Lu, Peter Mathé (2018) Balancing principle in supervised learning for a general regularization scheme. Applied and Computational Harmonic Analysis, Bd. 45, S. 26.
  • L. Mérai, J. Rivat, A. Sárközy (2018) The measures of pseudorandomness and the NIST tests. Lecture Notes in Comput. Sci., Bd. 10737, S. 197--216.
  • Chen, Shaoshi; Hoeij, Mark van; Kauers, Manuel; Koutschan, Christoph (2018, online: 2017) Reduction-based creative telescoping for fuchsian D-finite functions. Journal of Symbolic Computation, Bd. 85, S. 108-127. (link)
  • Friesecke, Gero; Henneke, Felix; Kunisch, Karl (2018) FREQUENCY-SPARSE OPTIMAL QUANTUM CONTROL. Math. Control Relat. Fields, Bd. 8 (1), S. 155-176.
  • Poor, Jamal Hossein; Raab, Clemens G.; Regensburger, Georg (2018) Algorithmic operator algebras via normal forms in tensor rings. J. Symb. Comput., Bd. 85, S. 247-274.
  • Grasegger, Georg; Lastra, Alberto; Sendra, J. Rafael; Winkler, Franz (2018, online: 2017) Rational General Solutions of Systems of First-Order Partial Differential Equations. Journal of Computational and Applied Mathematics (331), S. 88-103. (link)
  • L. Merai, A. Winterhof (2018) On the Nth linear complexity of automatic sequences. Journal of Number Theory, Bd. 187, S. 415-429.
  • Meidl, W. (2018) A secondary construction of bent functions, octal gbent functions and their duals. Mathematics and Computers in Simulation, Bd. 143, S. 57--64.
  • I.E. Shparlinski, L. Merai (2018) Sparsity of curves and additive and multiplicative expansion of rational maps over finite fields. Acta Arithmetica, Bd. to appear, S. 1--10.
  • M. Karpinski, L. Mérai, I. E. Shparlinski (2018) Identity Testing and Interpolation from High Powers of Polynomials of Large Degree over Finite Fields. J. Complexity, Bd. 49, S. 74--84.
  • Capco, Jose; Gallet, Matteo; Grasegger, Georg; Koutschan, Christoph; Lubbes, Niels et al. [..] (2018) The number of realizations of a Laman graph. SIAM Journal on Applied Algebra and Geometry, Bd. 2 (1), S. 94-125. (link)
  • Langer, Ulrich; Yang, Huidong (2018, online: 2016) Numerical simulation of fluid–structure interaction problems with hyperelastic models: A monolithic approach. Mathematics and Computers in Simulation, Bd. 145, S. 186-208. (link)
  • Kritzer, P.; Laimer, H.; Pillichshammer, F. (2018, online: 2017) Tractability of L_2-approximation in hybrid function spaces. Functiones et Approximatio Commentarii Mathematici, Bd. 58 (1), S. 89-104.
  • Thanatipanonda, Thotsaporn; Wong, Elaine (2018) Curious Bounds for Floor Function Sums. Journal of Integer Sequences, Bd. 21, S. Article 18.1.8. (link)
  • A. Rund, ; C.S. Aigner, ; K. Kunisch, ; Stollberger, R. (2018) Magnetic Resonance RF pulse design by optimal control with physical constraints. IEEE Transactions on Medical Imaging, Bd. 37 (2), S. 461-472.
  • Azmi, Behzad; Kunisch, Karl (2018) Receding Horizon Control for the Stabilization of the Wave Equation. Discrete and Continuous Dynamical Systems - Series A, Bd. 38 (2), S. 449-484.
  • A. Winterhof, O. Yayla, V. Ziegler (2018) Non-existence of some nearly perfect sequences, near Butson-Hadamard matrices, and near conference matrices. Mathematics in Computer Science, Bd. to appear, S. 10.
  • V. Hutterer, R. Ramlau (2018) Wavefront reconstruction from nonmodulated pyramid wavefront sensor data using a singular value type expansion. Inverse Problems (34), S. 035002 (19 pp).
  • D. Gómez-Pérez, L. Mérai, H. Niederreiter (2018) On the expansion complexity of sequences over finite fields. IEEE Trans. Inform. Theory, Bd. 64 (6), S. 4228--4232.
  • 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.
  • W. Meidl, I. Pirsic (2018) On the normality of p-ary bent functions. Cryptogr. Commun., Bd. 10 1037–1049 (6), S. 1037--1049.
  • Irrgeher, C.; Kritzer, P.; Pillichshammer, F. (2018, online: 2016) Integration and approximation in cosine spaces of smooth functions. Mathematics and Computers in Simulation, Bd. 143, S. 35-45.
  • Zeeuw, Aaron Lin and Mehdi Makhul and Hossein Nassajian Mojarrad and Josef Schicho and Konrad Swanepoel and Frank de (2018, online: 2017) On Sets Defining Few Ordinary Circles. Discrete & Computational Geometry, Bd. 59, S. 59-87.
  • L. Isik, A. Winterhof (2018, online: 2017) Carlitz rank and index of permutation polynomials. Finite Fields and Their Applications, Bd. 49, S. 156-165.
  • N. Anbar, A. Oduzak, V. Patel, L. Quoos, A. Somoza, A. Topuzoglu (2018, online: 2017) On the difference between permutation polynomials over finite fields. Finite Fields and Their Applications, Bd. 49, S. 132-142.
  • Grasegger, Georg; Legerský, Jan; Schicho, Josef (online: 2018) Graphs with Flexible Labelings. Discrete & Computational Geometry, S. 1-20. (link)
  • Hefter, M.; Herzwurm, A.; Müller-Gronbach, Th. (online: 2018) Lower error bounds for strong approximation of scalar SDEs with non-Lipschitziancoefficients. Annals of Applied Probability, Bd. to appear, S. n.a.
  • Hofer, C.; Langer, U.; Neumüller, M.; Toulopoulos, I. (online: 2018) Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolicevolution problems. Electronic Transactions on Numerical Analysis (49), S. 126-150.
  • Sogn, Jarle; Takacs, Stefan (online: 2018) Robust multigrid solvers for the biharmonic problem in isogeometric analysis. Computers and Mathematics with Applications. (link)
  • V. Kovtunenko, ; Kunisch, K. (online: 2018) Revisiting gernalized fem: a petrov-galerkin enrichment based fem interpolation for helmholtz problem. Calcolo.
  • Kritzer, P.; Kuo, F.Y.; Nuyens, D.; Ullrich, M. (online: 2018) Lattice rules with random n achieve nearly the optimal O(n^{-alpha-1/2}) error independently of the dimension. Journal of Approximation Theory, Bd. to appear, S. n.a.
  • Kritzer, P.; Wozniakowski, H. (online: 2018) Simple characterizations of exponential tractability for linear multivariate problems. Journal of Complexity, Bd. to appear, S. n.a.
  • Azmi, Behzad; Boulanger, Anne-Céline; Kunisch, Karl (online: 2018) On the semi-global Stabilizability of the Korteweg-de Vries Equation via Model Predictive Control. ESAIM: Control, Optimisation and Calculus of Variations.
  • Beigl, Alexander; Elbau, Peter; Sadiq, Kamran; Scherzer, Otmar (online: 2018) Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM. Inverse Problems, Bd. 34 (5), S. 1-15.
  • Steinbach, Olaf; Yang, Huidong (online: 2018) Comparison of algebraic multigrid methods for an adaptive space–time finite-element discretization of the heat equation in 3D and 4D. Numerical Linear Algebra with Applications. (link)
  • Hinrichs, A.; Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (online: 2018) Truncation Dimension for Linear Problems on Multivariate Function Spaces. Numerical Algorithms, Bd. to appear, S. n.a.
  • G. Holler, ; K. Kunisch, ; Barnard, R.C. (online: 2018) A bilevel approach for parameter learning in Inverse Problems. Inverse Problems.
  • Rodrigues, Sergio S. (online: 2018) Feedback Boundary Stabilization to Trajectories for 3DNavier-Stokes Equations. Appl. Math. Optim., Bd. -, S. -.
  • E. Casas, ; Kunisch, K. (online: 2018) Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions. Set-Valued and Variational Analysis, S. 1-25.
  • A. Rund, ; C.S. Aigner, ; K. Kunisch, ; Stollberger, R. (online: 2018) Simultaneous multislice refocusing by time-optimal control. Magnetic Resonance in Medicine, Bd. 80 (4), S. 1416-1428.
  • Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (online: 2018) Truncation in average and worst case settings for specialclasses of $infty$-variate functions. Mathematics and Computers in Simulations, Bd. to appear, S. n.a.
  • Ebert, A.; Kritzer, P. (online: 2018) Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm. Journal of Computational and Applied Mathematics, Bd. to appear, S. n.a.

Book/Monograph
  • K.-U. Schmidt, A. Winterhof (eds.) (2018) Combinatorics and finite fields: Difference sets, polynomials, pseudorandomness and applications. In Reihe: Radon Series on Computational and Applied Mathematics, to appear. Aufl.; Berlin: de Gruyter.
  • D. Kalise, ; K. Kunisch, ; Rao, Z. (2018) Hamilton-Jacobi-Bellman Equations. In Reihe: Radon Series on Computational and Applied Mathematics: Walter De Gruyter Inc.

Conference Contribution: Publication in Proceedings
  • Court, Sebastien; Kunisch, Karl; Pfeiffer, Laurent (2018) HYBRID OPTIMAL CONTROL PROBLEMS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS., Bd. 11, S. 1031-1060.
  • Takacs, Stefan (2018) Robust multigrid methods for isogeometric discretizations of the Stokes equation. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 513-522. (link)
  • Hofer, Christoph; Langer, Ulrich; Takacs, Stefan (2018) Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 397-406. (link)
  • Grasegger, Georg (2018) Realizations and Constructions of Minimally Rigid Graphs., Bridges Stockholm 2018 Conference Proceedings (Bridges 2018): Tessellations Publishing, S. 239-242.
  • Kimeswenger, Barbara; Grasegger, Georg; Reichenberger, Sandra (2018) Constructing Linkages for Drawing Curves., Bridges Stockholm 2018 Conference Proceedings (Bridges 2018): Tessellations Publishing, S. 613-616.
  • Kritzinger, R.; Laimer, H.; Neumüller, M. (2018) A reduced fast construction of polynomial lattice point sets with low weighted star discrepancy. In: Glynn, P. and Owen, A.B. (Hrsg.), Monte Carlo and Quasi-Monte Carlo Methods 2016 (MCQMC 2016); Cham: Springer, S. 377-394.
  • Steinbach, Olaf; Yang, Huidong (online: 2018) An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretization. In: Lirkov I., ; S., Margenov (Hrsg.), Large-Scale Scientific Computing (11th International Conference on Large Scale Scientific Computations): Springer, S. 66-73. (link)

Contribution in Collection
  • Kritzer, P.; Niederreiter, H.; Pillichshammer, F. (2018) Ian Sloan and Lattice Rules. In: Dick, J.; Kuo, F.Y.; Wozniakowski, H. (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer, S. 741-769.
  • Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2018) Truncation Dimension for Function Approximation. In: Dick, J.; Kuo, F.Y.; Wozniakowski, H. (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer, S. 771-792.
  • Koutschan, Christoph; Paule, Peter (2018) Holonomic tools for basic hypergeometric functions. In: Nashed, Zuhair; Li, Xin (Hrsg.), Frontiers in Orthogonal Polynomials and q-Series: World Scientific, S. 393-416. (link)

Editorship
  • G. Leobacher, E. Buckwar, P. Kritzer, F. Pillichshammer, A. Winterhof (Hrsg.) (2018, online: 2017) Mathematics and computers in simulation: Special issue 10th IMACS seminar on Monte Carlo methods., 143. Aufl.