% Publications of Jehanzeb H. Chaudhry % % Fields used: author, title, journal / booktitle, volume, number, pages, % year, url (publisher page), eprint + archiveprefix (arXiv preprint), % note (status of preprints and theses), keywords. % % keywords = research area(s) on the website's Research page: % error-estimation Uncertainty Quantification and Error Estimation % biomolecular Continuum Methods for Biomolecular Simulation % reduced-order Reduced Order Modeling % finite-element Finite Element Method for PDEs % lattice-boltzmann Lattice Boltzmann Methods % % Entries are newest first. Preprints come first, then journal articles, % conference papers and the PhD thesis. % --------------------------------------------------------------------------- % Preprints % --------------------------------------------------------------------------- @misc{brown2026weighted, author = {Brown, Michael W. and Chaudhry, Jehanzeb H. and Shadid, John N.}, title = {A Weighted Upwind Vector Kinetic Lattice {B}oltzmann Method for Hyperbolic Conservation Laws}, year = {2026}, eprint = {2608.04283}, archiveprefix = {arXiv}, note = {Preprint}, keywords = {lattice-boltzmann} } @misc{chaudhry2022adjoint, author = {Chaudhry, Jehanzeb H. and Stevens, Zachary}, title = {Adjoint-based Adaptive Multi-Level {M}onte {C}arlo for Differential Equations}, year = {2022}, eprint = {2206.02905}, archiveprefix = {arXiv}, note = {Preprint}, category = {miscellaneous}, keywords = {error-estimation} } @misc{bohra2020mass, author = {Bohra, Divya and Chaudhry, Jehanzeb H. and Burdyny, Thomas and Pidko, Evgeny A. and Smith, Wilson A.}, title = {Mass Transport in Catalytic Pores of {GDE}-based {CO$_2$} Electroreduction Systems}, year = {2020}, url = {https://chemrxiv.org/engage/chemrxiv/article-details/60c750b6842e654da7db3a70}, note = {ChemRxiv preprint}, category = {miscellaneous} } % --------------------------------------------------------------------------- % Journal articles and conference papers % --------------------------------------------------------------------------- @article{chaudhry2026adjoint, author = {Chaudhry, Jehanzeb H. and Lewis, Owen and Molla, Md Al Amin}, title = {Adjoint-based a Posteriori Error Analysis for Semi-explicit Index-1 and {H}essenberg Index-2 Differential-Algebraic Equations}, year = {2026}, journal = {BIT Numerical Mathematics}, eprint = {2507.03712}, archiveprefix = {arXiv}, keywords = {error-estimation} } @article{sentz2025coercivity, author = {Sentz, Peter and Chaudhry, Jehanzeb H. and Olson, Luke N.}, title = {On Computing Coercivity Constants in Linear Variational Problems Through Eigenvalue Analysis}, journal = {IMA Journal of Numerical Analysis}, year = {2025}, url = {https://academic.oup.com/imajna/advance-article/doi/10.1093/imanum/draf110/8376812}, eprint = {2205.11580}, archiveprefix = {arXiv}, note = {Advance article}, keywords = {reduced-order} } @article{achondo2025investigation, author = {Achondo, Mart{\'\i}n A. and Chaudhry, Jehanzeb H. and Cooper, Christopher D.}, title = {An Investigation of Physics Informed Neural Networks to Solve the {P}oisson--{B}oltzmann Equation in Molecular Electrostatics}, journal = {Journal of Chemical Theory and Computation}, volume = {21}, number = {7}, pages = {3726--3744}, year = {2025}, url = {https://pubs.acs.org/doi/10.1021/acs.jctc.4c01747}, eprint = {2410.12810}, archiveprefix = {arXiv}, keywords = {biomolecular} } @inproceedings{panda2025local, author = {Panda, Nishant and Chaudhry, Jehanzeb H. and Klein, Natalie and Carzon, James and Butler, Troy}, title = {Local Stochastic Sensitivity Analysis for Dynamical Systems}, booktitle = {Proceedings of The 28th International Conference on Artificial Intelligence and Statistics}, series = {Proceedings of Machine Learning Research}, volume = {258}, year = {2025}, url = {https://proceedings.mlr.press/v258/panda25b.html}, keywords = {error-estimation} } @article{chaudhry2024spacetime, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Tavener, Simon J.}, title = {A Posteriori Error Analysis for a Space-Time Parallel Discretization of Parabolic Partial Differential Equations}, journal = {Numerical Methods for Partial Differential Equations}, volume = {40}, number = {1}, pages = {e23065}, year = {2024}, url = {https://onlinelibrary.wiley.com/doi/10.1002/num.23065}, eprint = {2111.00606}, archiveprefix = {arXiv}, keywords = {error-estimation} } @article{chaudhry2023threshold, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Giannini, Trevor and Stevens, Zachary and Tavener, Simon J.}, title = {Error Estimation for the Time to a Threshold Value in Evolutionary Partial Differential Equations}, journal = {BIT Numerical Mathematics}, volume = {63}, number = {1}, pages = {12}, year = {2023}, url = {https://link.springer.com/article/10.1007/s10543-023-00947-1}, eprint = {2111.09834}, archiveprefix = {arXiv}, keywords = {error-estimation} } @article{chaudhry2021least, author = {Chaudhry, Jehanzeb H. and Olson, Luke N. and Sentz, Peter}, title = {A Least-Squares Finite Element Reduced Basis Method}, journal = {SIAM Journal on Scientific Computing}, volume = {43}, number = {2}, pages = {A1081--A1107}, year = {2021}, url = {https://epubs.siam.org/doi/abs/10.1137/20M1323552}, eprint = {2003.04555}, archiveprefix = {arXiv}, keywords = {reduced-order} } @article{chaudhry2021mhd, author = {Chaudhry, Jehanzeb H. and Rappaport, Ari E. and Shadid, John N.}, title = {An a Posteriori Error Analysis for the Equations of Stationary Incompressible Magnetohydrodynamics}, journal = {SIAM Journal on Scientific Computing}, volume = {43}, number = {2}, pages = {B354--B380}, year = {2021}, url = {https://epubs.siam.org/doi/abs/10.1137/20M1342975}, eprint = {2004.10292}, archiveprefix = {arXiv}, keywords = {error-estimation} } @article{chaudhry2021schwarz, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Tavener, Simon J.}, title = {A Posteriori Error Analysis for {S}chwarz Overlapping Domain Decomposition Methods}, journal = {BIT Numerical Mathematics}, volume = {61}, number = {4}, pages = {1153--1191}, year = {2021}, url = {https://link.springer.com/article/10.1007/s10543-021-00864-1}, eprint = {1907.01139}, archiveprefix = {arXiv}, keywords = {error-estimation} } @article{ramm2021efficient, author = {Ramm, Vicente and Chaudhry, Jehanzeb H. and Cooper, Christopher D.}, title = {Efficient Mesh Refinement for the {P}oisson--{B}oltzmann Equation with Boundary Elements}, journal = {Journal of Computational Chemistry}, volume = {42}, pages = {855}, year = {2021}, url = {https://onlinelibrary.wiley.com/doi/10.1002/jcc.26506}, eprint = {2009.11696}, archiveprefix = {arXiv}, keywords = {error-estimation, biomolecular} } @article{chaudhry2021first, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Stevens, Zachary and Tavener, Simon J.}, title = {Error Estimation and Uncertainty Quantification for First Time to a Threshold Value}, journal = {BIT Numerical Mathematics}, volume = {61}, number = {1}, pages = {275--307}, year = {2021}, url = {https://link.springer.com/article/10.1007/s10543-020-00825-0}, eprint = {2001.11139}, archiveprefix = {arXiv}, keywords = {error-estimation} } @article{chaudhry2021spectral, author = {Chaudhry, Jehanzeb H. and Collins, J. B.}, title = {A Posteriori Error Estimation for the Spectral Deferred Correction Method}, journal = {Journal of Computational and Applied Mathematics}, volume = {382}, pages = {113097}, year = {2021}, url = {https://www.sciencedirect.com/science/article/abs/pii/S0377042720303885}, eprint = {2003.03399}, archiveprefix = {arXiv}, keywords = {error-estimation} } @article{bohra2019modeling, author = {Bohra, Divya and Chaudhry, Jehanzeb H. and Burdyny, Thomas and Pidko, Evgeny A. and Smith, Wilson A.}, title = {Modeling the Electrical Double Layer to Understand the Reaction Environment in a {CO$_2$} Electrocatalytic System}, journal = {Energy \& Environmental Science}, volume = {12}, number = {11}, pages = {3380--3389}, year = {2019}, url = {https://pubs.rsc.org/en/content/articlehtml/2019/ee/c9ee02485a}, keywords = {biomolecular} } @article{chaudhry2019imex, author = {Chaudhry, Jehanzeb H. and Shadid, John N. and Wildey, Timothy}, title = {A Posteriori Analysis of an {IMEX} Entropy-Viscosity Formulation for Hyperbolic Conservation Laws with Dissipation}, journal = {Applied Numerical Mathematics}, volume = {135}, pages = {129}, year = {2019}, url = {https://www.sciencedirect.com/science/article/pii/S0168927418301788}, keywords = {error-estimation} } @article{chaudhry2018posteriori, author = {Chaudhry, Jehanzeb H.}, title = {A Posteriori Analysis and Efficient Refinement Strategies for the {P}oisson--{B}oltzmann Equation}, journal = {SIAM Journal on Scientific Computing}, volume = {40}, number = {4}, pages = {A2519--A2542}, year = {2018}, url = {https://epubs.siam.org/doi/10.1137/17M1119846}, keywords = {error-estimation, biomolecular} } @article{chaudhry2018efficient, author = {Chaudhry, Jehanzeb H. and Burch, Nathanial and Estep, Donald}, title = {Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries}, journal = {SIAM/ASA Journal on Uncertainty Quantification}, volume = {6}, number = {3}, pages = {1127--1150}, year = {2018}, url = {https://epubs.siam.org/doi/10.1137/17M112230X}, keywords = {error-estimation} } @article{chaudhry2017runge, author = {Chaudhry, Jehanzeb H. and Collins, J. B. and Shadid, John N.}, title = {A Posteriori Error Estimation for Multi-Stage {R}unge--{K}utta {IMEX} Schemes}, journal = {Applied Numerical Mathematics}, volume = {117}, pages = {36}, year = {2017}, url = {https://www.sciencedirect.com/science/article/pii/S0168927417300363}, keywords = {error-estimation} } @article{chaudhry2017exploration, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Gunzburger, Max}, title = {Exploration of Efficient Reduced-Order Modeling and a Posteriori Error Estimation}, journal = {International Journal for Numerical Methods in Engineering}, volume = {111}, pages = {103}, year = {2017}, url = {https://onlinelibrary.wiley.com/doi/10.1002/nme.5453}, keywords = {error-estimation, reduced-order} } @article{chaudhry2016two, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Tavener, Simon J. and Carey, Varis and Sandelin, J.}, title = {A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the {P}arareal Algorithm}, journal = {SIAM Journal on Numerical Analysis}, volume = {54}, pages = {2974}, year = {2016}, url = {https://epubs.siam.org/doi/abs/10.1137/16M1079014}, keywords = {error-estimation} } @article{chaudhry2015imex, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Ginting, Victor and Shadid, John N. and Tavener, Simon J.}, title = {A Posteriori Error Analysis of {IMEX} Multi-Step Time Integration Methods for Advection-Diffusion-Reaction Equations}, journal = {Computer Methods in Applied Mechanics and Engineering}, volume = {285}, pages = {730}, year = {2015}, url = {https://www.sciencedirect.com/science/article/pii/S0045782514004411}, keywords = {error-estimation} } @article{chaudhry2015iterative, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Ginting, Victor and Tavener, Simon J.}, title = {A Posteriori Analysis for Iterative Solvers for Nonautonomous Evolution Problems}, journal = {SIAM/ASA Journal on Uncertainty Quantification}, volume = {3}, pages = {434}, year = {2015}, url = {https://epubs.siam.org/doi/abs/10.1137/130949403}, keywords = {error-estimation} } @article{johansson2015adaptive, author = {Johansson, August and Chaudhry, Jehanzeb H. and Carey, Varis and Estep, Donald and Ginting, Victor and Larson, Mats G. and Tavener, Simon J.}, title = {Adaptive Finite Element Solution of Multiscale {PDE}--{ODE} Systems}, journal = {Computer Methods in Applied Mechanics and Engineering}, volume = {287}, pages = {150}, year = {2015}, url = {https://www.sciencedirect.com/science/article/pii/S0045782515000237}, keywords = {error-estimation, finite-element} } @article{hirani2015darcy, author = {Hirani, Anil N. and Nakshatrala, Kalyana B. and Chaudhry, Jehanzeb H.}, title = {Numerical Method for {D}arcy Flow Derived Using Discrete Exterior Calculus}, journal = {International Journal for Computational Methods in Engineering Science and Mechanics}, volume = {16}, pages = {151}, year = {2015}, url = {https://www.tandfonline.com/doi/abs/10.1080/15502287.2014.977500}, keywords = {finite-element} } @article{chaudhry2014enhancing, author = {Chaudhry, Jehanzeb H. and Cyr, Eric C. and Liu, K. and Manteuffel, Thomas A. and Olson, Luke N. and Tang, L.}, title = {Enhancing Least-Squares Finite Element Methods Through a Quantity-of-Interest}, journal = {SIAM Journal on Numerical Analysis}, volume = {52}, pages = {3085}, year = {2014}, url = {https://epubs.siam.org/doi/abs/10.1137/13090496X}, keywords = {finite-element} } @article{chaudhry2014stabilized, author = {Chaudhry, Jehanzeb H. and Comer, Jeffrey and Aksimentiev, Aleksei and Olson, Luke N.}, title = {A Stabilized Finite Element Method for Modified {P}oisson--{N}ernst--{P}lanck Equations to Determine Ion Flow Through a Nanopore}, journal = {Communications in Computational Physics}, volume = {15}, pages = {93--125}, year = {2014}, url = {https://www.cambridge.org/core/journals/communications-in-computational-physics/article/a-stabilized-finite-element-method-for-modified-poisson-nernst-planck-equations-to-determine-ion-flow-through-a-nanopore/69D18822EEBE81C4015339846E56683E}, keywords = {biomolecular, finite-element} } @article{chaudhry2013iterative, author = {Chaudhry, Jehanzeb H. and Estep, Donald and Ginting, Victor and Tavener, Simon J.}, title = {A Posteriori Analysis of an Iterative Multi-Discretization Method for Reaction-Diffusion Systems}, journal = {Computer Methods in Applied Mechanics and Engineering}, volume = {267}, pages = {1}, year = {2013}, url = {https://www.sciencedirect.com/science/article/pii/S0045782513002107}, keywords = {error-estimation} } @article{chaudhry2012weighted, author = {Chaudhry, Jehanzeb H. and Bond, Stephen D. and Olson, Luke N.}, title = {A Weighted Adaptive Least-Squares Finite Element Method for the {P}oisson--{B}oltzmann Equation}, journal = {Applied Mathematics and Computation}, volume = {218}, pages = {4892}, year = {2012}, url = {https://www.sciencedirect.com/science/article/pii/S0096300311013002}, keywords = {biomolecular, finite-element} } @article{chaudhry2011finite, author = {Chaudhry, Jehanzeb H. and Bond, Stephen D. and Olson, Luke N.}, title = {Finite Element Approximation to a Finite-Size Modified {P}oisson--{B}oltzmann Equation}, journal = {Journal of Scientific Computing}, volume = {47}, pages = {347}, year = {2011}, url = {https://link.springer.com/article/10.1007/s10915-010-9441-7}, keywords = {biomolecular, finite-element} } @article{bond2010first, author = {Bond, Stephen D. and Chaudhry, Jehanzeb H. and Cyr, Eric C. and Olson, Luke N.}, title = {A First-Order System Least-Squares Finite Element Method for the {P}oisson--{B}oltzmann Equation}, journal = {Journal of Computational Chemistry}, volume = {31}, pages = {1625}, year = {2010}, url = {https://onlinelibrary.wiley.com/doi/10.1002/jcc.21446}, keywords = {biomolecular, finite-element} } % --------------------------------------------------------------------------- % Thesis % --------------------------------------------------------------------------- @phdthesis{chaudhry2011thesis, author = {Chaudhry, Jehanzeb H.}, title = {Finite Element Methods for Implicit Solvent Models}, school = {University of Illinois at Urbana-Champaign}, address = {Urbana, IL}, note = {Department of Computer Science. Advisor: Luke N. Olson}, year = {2011}, url = {https://www.ideals.illinois.edu/handle/2142/25818} }