Multirate Runge-Kutta for Nonlinearly Partitioned Systems.

Brian K. Tran

Tommaso Buvoli Brian K. Tran Ben S. Southworth Multirate Runge-Kutta for Nonlinearly Partitioned Systems. 2025 April abs/2504.03257 CoRR https://doi.org/10.48550/arXiv.2504.03257 db/journals/corr/corr2504.html#abs-2504-03257 streams/journals/corr

Brian K. Tran Ben S. Southworth Hannah F. Blumhoefer Samuel S. Olivier Preconditioning transformations of adjoint systems for evolution equations. 2025 May abs/2505.21705 CoRR https://doi.org/10.48550/arXiv.2505.21705 db/journals/corr/corr2505.html#abs-2505-21705 streams/journals/corr

Minh N. Vu Brian K. Tran Syed A. Shah Geigh Zollicoffer Nhat Hoang-Xuan Manish Bhattarai HalluField: Detecting LLM Hallucinations via Field-Theoretic Modeling. 2025 September abs/2509.10753 CoRR https://doi.org/10.48550/arXiv.2509.10753 db/journals/corr/corr2509.html#abs-2509-10753 streams/journals/corr

Brian K. Tran Melvin Leok Geometric Methods for Adjoint Systems. 25 2024 February 34 J. Nonlinear Sci. 1 https://doi.org/10.1007/s00332-023-09999-7 db/journals/jns/jns34.html#TranL24

Brian K. Tran Ben S. Southworth Melvin Leok On Properties of Adjoint Systems for Evolutionary PDEs. 95 2024 October 34 J. Nonlinear Sci. 5 https://doi.org/10.1007/s00332-024-10071-1 db/journals/jns/jns34.html#TranSL24 streams/journals/jns

Brian K. Tran Ben S. Southworth Tommaso Buvoli Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods. 2024 abs/2401.12427 CoRR https://doi.org/10.48550/arXiv.2401.12427 db/journals/corr/corr2401.html#abs-2401-12427

Brian K. Tran Ben S. Southworth Melvin Leok On Properties of Adjoint Systems for Evolutionary PDEs. 2024 abs/2404.02320 CoRR https://doi.org/10.48550/arXiv.2404.02320 db/journals/corr/corr2404.html#abs-2404-02320

Brian K. Tran Ben S. Southworth Galerkin Formulation of Path Integrals in Lattice Field Theory. 2024 abs/2411.15343 CoRR https://doi.org/10.48550/arXiv.2411.15343 db/journals/corr/corr2411.html#abs-2411-15343 streams/journals/corr

Brian K. Tran Melvin Leok Type II Hamiltonian Lie Group Variational Integrators with Applications to Geometric Adjoint Sensitivity Analysis. 2023 abs/2311.03527 CoRR https://doi.org/10.48550/arXiv.2311.03527 db/journals/corr/corr2311.html#abs-2311-03527

Brian K. Tran Melvin Leok Multisymplectic Hamiltonian variational integrators. 113-157 2022 99 Int. J. Comput. Math. 1 https://doi.org/10.1080/00207160.2021.1999427 https://www.wikidata.org/entity/Q114101709 db/journals/ijcm/ijcm99.html#TranL22

Brian K. Tran Melvin Leok Geometric Methods for Adjoint Systems. 2022 abs/2205.02901 CoRR https://doi.org/10.48550/arXiv.2205.02901 db/journals/corr/corr2205.html#abs-2205-02901

Brian K. Tran Melvin Leok Multisymplectic Hamiltonian Variational Integrators. 2021 abs/2101.07536 CoRR https://arxiv.org/abs/2101.07536 db/journals/corr/corr2101.html#abs-2101-07536

Brian K. Tran Melvin Leok Variational Structures in Cochain Projection Based Variational Discretizations of Lagrangian PDEs. 2021 abs/2103.09338 CoRR https://arxiv.org/abs/2103.09338 db/journals/corr/corr2103.html#abs-2103-09338

Manish Bhattarai Hannah F. Blumhoefer Tommaso Buvoli Nhat Hoang-Xuan Melvin Leok Samuel S. Olivier Syed A. Shah Ben S. Southworth Minh N. Vu Geigh Zollicoffer