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20232025
most citedParallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning

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math.NA2024★ 1 cited

Parallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning

O. A. Krzysik, H. De Sterck, R. D. Falgout +1

We consider the parallel-in-time solution of hyperbolic partial differential equation (PDE) systems in one spatial dimension, both linear and nonlinear. In the nonlinear setting, t…

math.NA2024

Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems

Ahsan Ali, James Brannick, Karsten Kahl +3

Algebraic multigrid (AMG) is known to be an effective solver for many sparse symmetric positive definite (SPD) linear systems. For SPD systems, the convergence theory of AMG is wel…