Prashant K. Jha

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Journal articles 27

1. Mahesh Nandyala, Andrew Lanham, Prashant K. Jha, Chengyue Wu, John D. Hazle, Thomas E. Yankeelov, R. Jason Stafford, Ahmed A. El-Gendy, David Fuentes. An information-theoretic framework for optimal experimental design in magnetic nanoparticle hyperthermia. Applied Mathematical Modelling, 2026. doi:10.1016/j.apm.2026.116861.
2. Prashant K. Jha. From Theory to Application: A Practical Introduction to Neural Operators in Scientific Computing. Mathematics, 2026. doi:10.3390/math14132421. sole author
3. Abani Patra, Danial Faghihi, Prashant K. Jha, Lianghao Cao, Kathryn A. Farrell-Maupin. Predictive Science: A Quest for the Holy. Computing in Science & Engineering, 2026. doi:10.1109/MCSE.2025.3622975.
4. Prashant K. Jha. PeriDEM — High-fidelity modeling of granular media consisting of deformable complex-shaped particles. Journal of Open Source Software, 2025. doi:10.21105/joss.07525. sole author
5. Prashant K. Jha, Patrick Diehl, Robert Lipton. Nodal finite element approximation of peridynamics. Computer Methods in Applied Mechanics and Engineering, 2025. doi:10.1016/j.cma.2024.117519. first & corresponding author
6. Prashant K. Jha. Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems. Computer Methods in Applied Mechanics and Engineering, 2024. doi:10.1016/j.cma.2023.116595. sole author
7. Prashant K. Jha, Christopher Walker, Drew Mitchell, J. Tinsley Oden, Dawid Schellingerhout, James A. Bankson, David T. Fuentes. Mutual-Information Based Optimal Experimental Design for Hyperpolarized 13C-Pyruvate MRI. Scientific Reports, 2023. doi:10.1038/s41598-023-44958-y. first & corresponding author
8. Prashant K. Jha, Timothy Breitzman, Kaushik Dayal. Discrete-to-Continuum Limits of Long-Range Electrical Interactions in Nanostructures. Archive for Rational Mechanics and Analysis, 2023. doi:10.1007/s00205-023-01869-6. first & corresponding author
9. Lianghao Cao, Thomas O'Leary-Roseberry, Prashant K. Jha, J. Tinsley Oden, Omar Ghattas. Residual-Based Error Correction for Neural Operator Accelerated Infinite-Dimensional Bayesian Inverse Problems. Journal of Computational Physics, 2023. doi:10.1016/j.jcp.2023.112104.
10. Prashant K. Jha, J. Tinsley Oden. Goal-Oriented A-Posteriori Estimation of Model Error as an Aid to Parameter Estimation. Journal of Computational Physics, 2022. doi:10.1016/j.jcp.2022.111575. first & corresponding author
11. Prashant K. Jha, Jason Marshall, Jaroslaw Knap, Kaushik Dayal. Atomic-to-Continuum Multiscale Modeling of Defects in Crystals with Nonlocal Electrostatic Interactions. Journal of Applied Mechanics, 2022. doi:10.1115/1.4056111. first & corresponding author
12. Prashant K. Jha, Patrick Diehl. NLMech: Implementation of Finite Difference/Meshfree Discretization of Nonlocal Fracture Models. Journal of Open Source Software, 2021. doi:10.21105/joss.03020. first & corresponding author
13. Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth. Modeling and Simulation of Vascular Tumors Embedded in Evolving Capillary Networks. Computer Methods in Applied Mechanics and Engineering, 2021. doi:10.1016/j.cma.2021.113975.
14. David A. Hormuth II, Caleb M. Phillips, Chengyue Wu, Ernesto A. B. F. Lima, Guillermo Lorenzo, Prashant K. Jha, Angela M. Jarrett, J. Tinsley Oden, Thomas E. Yankeelov. Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data. Cancers, 2021. doi:10.3390/cancers13123008.
15. Prashant K. Jha, Prathamesh S. Desai, Debdeep Bhattacharya, Robert P. Lipton. Peridynamics-Based Discrete Element Method (PeriDEM) Model of Granular Systems Involving Breakage of Arbitrarily Shaped Particles. Journal of the Mechanics and Physics of Solids, 2021. doi:10.1016/j.jmps.2021.104376. first & corresponding author
16. Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Barbara Wohlmuth. Analysis of a New Multispecies Tumor Growth Model Coupling 3D Phase-Fields With a 1D Vascular Network. Nonlinear Analysis: Real World Applications, 2021. doi:10.1016/j.nonrwa.2021.103331.
17. Robert Lipton, Prashant K. Jha. Nonlocal Elastodynamics and Fracture. Nonlinear Differential Equations and Applications NoDEA, 2021. doi:10.1007/s00030-021-00683-x.
18. Prashant K. Jha, Robert Lipton. Finite Element Approximation of Nonlocal Dynamic Fracture Models. Discrete and Continuous Dynamical Systems - B, 2021. doi:10.3934/dcdsb.2020178. first & corresponding author
19. Patrick Diehl, Prashant K. Jha, Hartmut Kaiser, Robert Lipton, Martin Levesque. An Asynchronous and Task-Based Implementation of Peridynamics Utilizing HPX—the C++ Standard Library for Parallelism and Concurrency. SN Applied Sciences, 2020. doi:10.1007/s42452-020-03784-x.
20. Prashant K. Jha, Robert Lipton. Kinetic Relations and Local Energy Balance for LEFM from a Nonlocal Peridynamic Model. International Journal of Fracture, 2020. doi:10.1007/s10704-020-00480-0. first author
21. Prashant K. Jha, Lianghao Cao, J. Tinsley Oden. Bayesian-Based Predictions of COVID-19 Evolution in Texas Using Multispecies Mixture-Theoretic Continuum Models. Computational Mechanics, 2020. doi:10.1007/s00466-020-01889-z. first & corresponding author
22. Prashant K. Jha, Robert Lipton. Finite Element Convergence for State-Based Peridynamic Fracture Models. Communications on Applied Mathematics and Computation, 2020. doi:10.1007/s42967-019-00039-4. first author
23. Robert Lipton, Richard B. Lehoucq, Prashant K. Jha. Complex Fracture Nucleation and Evolution With Nonlocal Elastodynamics. Journal of Peridynamics and Nonlocal Modeling, 2019. doi:10.1007/s42102-019-00010-0.
24. Prashant K. Jha, Robert Lipton. Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models. Computer Methods in Applied Mechanics and Engineering, 2019. doi:10.1016/j.cma.2019.03.024. first & corresponding author
25. Robert Lipton, Eyad Said, Prashant K. Jha. Free Damage Propagation With Memory. Journal of Elasticity, 2018. doi:10.1007/s10659-018-9672-7.
26. Prashant K. Jha, Robert Lipton. Numerical Convergence of Nonlinear Nonlocal Continuum Models to Local Elastodynamics. International Journal for Numerical Methods in Engineering, 2018. doi:10.1002/nme.5791. first author
27. Prashant K. Jha, Robert Lipton. Numerical Analysis of Nonlocal Fracture Models in Hölder Space. SIAM Journal on Numerical Analysis, 2018. doi:10.1137/17M1112236. first & corresponding author

Book chapters 4

1. Prashant K. Jha, Robert Lipton. Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials. Handbook of Nonlocal Continuum Mechanics for Materials and Structures, 2019. doi:10.1007/978-3-319-58729-5_40. first author
2. Prashant K. Jha, Robert Lipton. Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates. Handbook of Nonlocal Continuum Mechanics for Materials and Structures, 2019. doi:10.1007/978-3-319-22977-5_44-1. first author
3. Robert Lipton, Eyad Said, Prashant K. Jha. Dynamic Damage Propagation with Memory: A State-Based Model. Handbook of Nonlocal Continuum Mechanics for Materials and Structures, 2019. doi:10.1007/978-3-319-58729-5_45.
4. Robert Lipton, Eyad Said, Prashant K. Jha. Dynamic Brittle Fracture from Nonlocal Double-Well Potentials: A State-Based Model. Handbook of Nonlocal Continuum Mechanics for Materials and Structures, 2019. doi:10.1007/978-3-319-22977-5_33-1.

Conference proceedings 1

1. Pranav Gadikar, Patrick Diehl, Prashant K. Jha. Load Balancing for Distributed Nonlocal Models Within Asynchronous Many-Task Systems. 2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), 2021. doi:10.1109/IPDPSW52791.2021.00103.

Under review 4

1. Prashant K. Jha, Kaushik Dayal. Continuum Limit of Nonlocal Electrostatics in Random Media. arXiv preprint arXiv:2609.06354, 2026. first & corresponding author
2. Ian Galloway, Prashant K. Jha. Model-Informed Joint Material-Structural Optimization of Hard-Magnetic Soft Materials. arXiv preprint arXiv:2607.14397, 2026. corresponding author
3. Koffi Enakoutsa, Parker Bogard, Prashant K. Jha. Do attention maps in neural operators learn the Green's function?. Under review, Mathematics and Mechanics of Complex Systems, 2026.
4. Prashant K. Jha, Koffi Enakoutsa. Neural operators with residual-based correction: Applications to optimization and Bayesian inference. 2026. first author

Reports 1

1. J. Tinsley Oden, Prashant K. Jha, Lianghao Cao, Taemin Heo, Jing Hu, Mathew Hu, Jonathan Kelley, Jaime D. Mora Paz, Cyrus Neary, Akhil Potla, Sheroze Sherriffdeen, Chase Tessmer, Christine Yang. Assessment of Predictability of a Class of Models of Growth of Coronavirus 19 Cases as an Exercise in Predictive Computational Science. Oden Institute Report 20-10, 2020.

Thesis 1

1. Prashant K. Jha. Coarse Graining of Electric Field Interactions With Materials. PhD thesis, Carnegie Mellon University, 2016. sole author

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Invited talks and presentations 26

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