A Numerical Investigation of Matrix-Free Implicit Time-Stepping Methods for Large CFD Simulations. - Arash Sarshar; Paul Tranquilli; Brent Pickering; Andrew McCall; Adrian Sandu; Christopher J. Roy (CoRR, 2016)

Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations. - Paul Tranquilli; Ross Glandon; Arash Sarshar; Adrian Sandu (J. Comput. Appl. Math., 2017)

Alternating Directions Implicit Integration in a General Linear Method Framework. - Arash Sarshar; Adrian Sandu (CoRR, 2019)

Design of High-Order Decoupled Multirate GARK Schemes. - Arash Sarshar; Steven B. Roberts; Adrian Sandu (SIAM J. Sci. Comput., 2019)

Parallel implicit-explicit general linear methods. - Steven B. Roberts; Arash Sarshar; Adrian Sandu (CoRR, 2020)

A fast time-stepping strategy for ODE systems equipped with a surrogate model. - Steven B. Roberts; Andrey A. Popov; Arash Sarshar; Adrian Sandu (CoRR, 2020)

Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales. - Steven B. Roberts; Arash Sarshar; Adrian Sandu (SIAM J. Sci. Comput., 2020)

Alternating directions implicit integration in a general linear method framework. - Arash Sarshar; Steven B. Roberts; Adrian Sandu (J. Comput. Appl. Math., 2021)

Implicit Multirate GARK Methods. - Steven B. Roberts; John Loffeld; Arash Sarshar; Carol S. Woodward; Adrian Sandu (J. Sci. Comput., 2021)

Physics-informed neural networks for PDE-constrained optimization and control. - Jostein Barry-Straume; Arash Sarshar; Andrey A. Popov; Adrian Sandu (CoRR, 2022)

A Meta-learning Formulation of the Autoencoder Problem for Non-linear Dimensionality Reduction. - Andrey A. Popov; Arash Sarshar; Austin Chennault; Adrian Sandu (CoRR, 2022)

A unified formulation of splitting-based implicit time integration schemes. - Severiano González-Pinto; Domingo Hernández-Abreu; Maria Soledad Pérez-Rodríguez; Arash Sarshar; Steven B. Roberts; Adrian Sandu (J. Comput. Phys., 2022)

A Fast Time-Stepping Strategy for Dynamical Systems Equipped with a Surrogate Model. - Steven B. Roberts; Andrey A. Popov; Arash Sarshar; Adrian Sandu (SIAM J. Sci. Comput., 2022)

Improving the Adaptive Moment Estimation (ADAM) stochastic optimizer through an Implicit-Explicit (IMEX) time-stepping approach. - Abhinab Bhattacharjee; Andrey A. Popov; Arash Sarshar; Adrian Sandu (CoRR, 2024)

Deep Operator Networks for Bayesian Parameter Estimation in PDEs. - Amogh Raj; Carol Eunice Gudumotou; Sakol Bun; Keerthana Srinivasa; Arash Sarshar (CoRR, 2025)