Optimizing MGRIT and Parareal coarse-grid operators for linear advection. - Hans De Sterck; Robert D. Falgout; Stephanie Friedhoff; Oliver A. Krzysik; Scott P. MacLachlan (CoRR, 2019)

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner; Hans De Sterck (CoRR, 2021)

Fast parallel solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner (CoRR, 2021)

Optimizing multigrid reduction-in-time and Parareal coarse-grid operators for linear advection. - Hans De Sterck; Robert D. Falgout; Stephanie Friedhoff; Oliver A. Krzysik; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2021)

Fast Solution of Fully Implicit Runge-Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner (SIAM J. Sci. Comput., 2022)

Fast Solution of Fully Implicit Runge-Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting. - Ben S. Southworth; Oliver A. Krzysik; Will Pazner; Hans De Sterck (SIAM J. Sci. Comput., 2022)

On the convergence of restarted Anderson acceleration for symmetric linear systems. - Hans De Sterck; Oliver A. Krzysik; Adam Smith (CoRR, 2023)

Efficient Multigrid Reduction-in-Time for Method-of-Lines Discretizations of Linear Advection. - Hans De Sterck; Robert D. Falgout; Oliver A. Krzysik; Jacob B. Schroder (J. Sci. Comput., 2023)

Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators. - Hans De Sterck; Robert D. Falgout; Oliver A. Krzysik (SIAM J. Sci. Comput., 2023)

Parallel-in-time solution of scalar nonlinear conservation laws. - Hans De Sterck; Robert D. Falgout; Oliver A. Krzysik; Jacob B. Schroder (CoRR, 2024)

Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth (CoRR, 2024)

First-order PDES for Graph Neural Networks: Advection And Burgers Equation Models. - Yifan Qu; Oliver A. Krzysik; Hans De Sterck; Omer Ege Kara (CoRR, 2024)

Parallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning. - Hans De Sterck; Robert D. Falgout; Oliver A. Krzysik; Jacob B. Schroder (CoRR, 2024)

Constrained Local Approximate Ideal Restriction for Advection-Diffusion Problems. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth (SIAM J. Sci. Comput., 2024)

Anderson Acceleration as a Krylov Method with Application to Convergence Analysis. - Hans De Sterck; Yunhui He; Oliver A. Krzysik (J. Sci. Comput., 2024)

Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers. - Oliver A. Krzysik; Ben S. Southworth; Bobby Philip (CoRR, 2025)

Generalized Optimal AMG Convergence Theory for Stokes Equations Using Smooth Aggregation and Vanka Relaxation Strategies. - Ahsan Ali; James J. Brannick; Karsten Kahl; Oliver A. Krzysik; Jacob B. Schroder; Ben S. Southworth; Alexey Voronin (CoRR, 2025)

Multigrid Reduction-In-Time Convergence for Advection Problems: A Fourier Analysis Perspective. - Hans De Sterck; Stephanie Friedhoff; Oliver A. Krzysik; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2025)

Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems. - Oliver A. Krzysik; Ben S. Southworth; Golo A. Wimmer (CoRR, 2025)