Publications

Theses
MIT
S.M
: Krylov subspace methods for simultaneous primal-dual solutions and superconvergent functional estimates (2002)
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MIT
Ph.D: An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method (2005)
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Journal Publications

James Lu and David L. Darmofal: A quasi-minimal residual method for simultaneous primal-dual solutions and superconvergent functional estimates.

SIAM Journal on Scientific Computing, vol. 24 num. 5 (2003), pp 1693-1709.
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James Lu and David L. Darmofal:  Higher-dimensional integration with Gaussian weight for applications in probabilistic design.

SIAM Journal on Scientific Computing, vol. 26 num. 2 (2004), pp. 613-624.
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Eric J. Nielsen, James Lu, Michael A. Park and David L. Darmofal: An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids.
Computers & Fluids, vol. 33 issue 9 (2004), pp. 1131-1155.
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Krzysztof J. Fidkowski, Todd A. Oliver, James Lu and David L. Darmofal: p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations.
Journal of Computational Physics, vol. 207 issue 1 (2005), pp. 92-113.
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Rainer Machne, Andrew Finney, Stefan Mueller, James Lu, Stefanie Widder and Christoph Flamm: The SBML ODE Solver Library: a native API for symbolic and fast numerical analysis of reaction networks.
Bioinformatics, vol. 22 (2006), pp. 1405-1407.
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James Lu, Heinz W. Engl and Peter Schuster: Inverse bifurcation analysis: applications to simple gene systems.

Algorithms for Molecular Biology, vol. 1:11 (2006)
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James Lu: Inverse eigenvalue problems for exploring the dynamics of systems biology models.
Advances in Applied Mathematics and Mechanics, vol. 1:6 (2009): Special Issue for SCPDE08 PDF.pdf
Heinz W. Engl, Christoph Flamm, Philipp Kügler, James Lu, Stefan Müller, Peter Schuster: Inverse problems in systems biology.
Inverse Problems, vol. 25:12 (2009): 25th Year Special Issue of Reviews
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Conference Proceedings
James Lu and David L. Darmofal: Adaptive precision methodology for flow optimization via discretization and iteration error control.
AIAA Paper 2004-1096
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James Lu, Heinz W. Engl, Rainer Machne, Peter Schuster:  Inverse bifurcation analysis for a model of the mammalian G1/S regulatory module.
Bioinformatics Research and Development '07 , pp. 168-184, Lecture Notes in Bioinformatics 4414, Springer Verlag, March 2007.
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James Lu, Stefan Müller, Rainer Machne, Christoph Flamm:  SBML ODE Solver Library: Extensions for Inverse Analysis.
Proceedings of the Fifth International Workshop on Computational and Systems Biology (WCSB '08), TICSP Series #41, Tampere, Finnland.
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Technical Reports
Stefan Mueller, James Lu, Philipp Kuegler, Heinz W. Engl: Parameter identification in systems biology: solving ill-posed inverse problems using regularization.

RICAM report 08-25
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Posters
IPAM
James Lu, Heinz W. Engl and Peter Schuster: Modelling the dynamics of cell networks using inverse methods.  IPAM  Workshop on Systems Biology and Molecular Modeling, June 2006, Los Angeles, USA.
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SBI
James Lu, Heinz W. Engl, Rainer Machne and Peter Schuster: 
Inverse bifurcation analysis for reverse engineering of cell cycle and circadian rhythm models. 7th International Conference on Systems Biology (ICSB), Oct 2006, Yokohama, Japan.
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IMA
James Lu,
Heinz W. Engl, Rainer Machne and Peter Schuster Inverse dynamical analysis. IMA Workshop on Optimization and Control, January 2007, Minneapolis, USA.
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ISMB/ECCB
Bruce E. Shapiro, James Lu, Michael Hucka, Eric D. Mjolsness: Mathematica platforms for modeling in systems biology. ISMB/ECCB, July 2007, Vienna, Austria.
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Presentations
IPAM Inverse Problems Reunion Conference II (Lake Arrowhead, California, June 2006).
Inverse bifurcation analysis for reverse engineering of gene systems.
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Applied Dynamical Systems Workshop (Ghent, Belgium, June 2006).
Inverse bifurcation analysis for reverse engineering of gene systems.
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11th SBML Forum (with Rainer Machne: Tokyo, Japan, October 2006).
The SBML ODE Solver Library: capabilities, limitations and outlook .

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Session on Genes, Dynamics Days 07 (Boston, USA, January 2007).
Inverse dynamical analysis: from probing possible qualitative dynamical behaviors to inferring mechanisms underlying gene regulation.

Bioinformatics Research and Development (BIRD07) (with Rainer Machne: Berlin, Germany, March 2007).
Inverse dynamical analysis: a methodology for probing dynamics in gene regulation and metabolism.
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Radon Seminar at the RICAM Scientific Boarding Meeting (with Philipp Kuegler, Ronny Ramlau: Linz, April 2007).
Regularization of Inverse Problems using sparsity constraints – Analysis and Applications
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6th International Congress on Industrial and Applied Mathematics (Zurich, Switzerland, July 2007).
Mini-Symposium on Impact of Biology on Mathematical Modelling:
Inverse dynamical analysis: application to gene networks.

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6th International Congress on Industrial and Applied Mathematics (Zurich, Switzerland, July 2007).
Mini-Symposium on Computational and Statistical Methods in Cell Biology:
Inverse eigenvalue analysis: methodology and application to Eukarotic GATA transcription factor system

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8th International Conference on Systems Biology (Long Beach, USA, October 2007)
Tutorial on Inverse Methodologies for Systems Biology: SOSLib, MathSBML and Matlab Extension
Mathematica
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RICAM Special Semester on Quantitative Biology analyzed by Mathematical Methods (Linz, Austria, November 2007)
Workshop on Systems Biology: Inverse Analysis for Qualitative Aspects of Gene Networks
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