Discretization-Error-Accurate Mixed-Precision Multigrid Solvers

DOI10.1137/20M1349230MaRDI QIDQ5161750

Joseph Benzaken, Rasmus Tamstorf, Stephen F. McCormick

Publication date: 1 November 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

multigridmixed precisionrounding-error analysisprogressive precision

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Roundoff error (65G50) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

Mixed precision algorithms in numerical linear algebra ⋮ Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations ⋮ Convergence Analysis of a Mixed Precision Parareal Algorithm

Cites Work

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• A Multigrid Tutorial, Second Edition
• A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems
• Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions
• Algebraic Error Analysis for Mixed-Precision Multigrid Solvers
• Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems

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