Variational Structures in Cochain Projection Based Variational Discretizations of Lagrangian PDEs. - Brian K. Tran; Melvin Leok (CoRR, 2021)

Multisymplectic Hamiltonian variational integrators. - Brian K. Tran; Melvin Leok (Int. J. Comput. Math., 2022)

Type II Hamiltonian Lie Group Variational Integrators with Applications to Geometric Adjoint Sensitivity Analysis. - Brian K. Tran; Melvin Leok (CoRR, 2023)

Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods. - Brian K. Tran; Ben S. Southworth; Tommaso Buvoli (CoRR, 2024)

Galerkin Formulation of Path Integrals in Lattice Field Theory. - Brian K. Tran; Ben S. Southworth (CoRR, 2024)

Geometric Methods for Adjoint Systems. - Brian K. Tran; Melvin Leok (J. Nonlinear Sci., 2024)

On Properties of Adjoint Systems for Evolutionary PDEs. - Brian K. Tran; Ben S. Southworth; Melvin Leok (J. Nonlinear Sci., 2024)

Multirate Runge-Kutta for Nonlinearly Partitioned Systems. - Tommaso Buvoli; Brian K. Tran; Ben S. Southworth (CoRR, 2025)

Preconditioning transformations of adjoint systems for evolution equations. - Brian K. Tran; Ben S. Southworth; Hannah F. Blumhoefer; Samuel S. Olivier (CoRR, 2025)