The GMRES method improved by securing fast wave propagation

DOI10.1016/0168-9274(93)90116-9zbMath0776.65025OpenAlexW2017250335MaRDI QIDQ1802651

Bertil Gustafsson, Per Loetstedt

Publication date: 28 November 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90116-9

zbMATH Keywords

convergencenumerical examplespreconditioningmultigrid methodGMRESRunge-Kutta methodsnonsymmetric systemsfast wave propagationgeneralized minimal residue algorithm

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

Convergence acceleration for the steady-state Euler equations., Semi-implicit Runge-Kutta schemes for the Navier-Stokes equations

Uses Software

• CGS

Cites Work

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• Stability of a Runge-Kutta method for the Navier-Stokes equation
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems
• Iterative Solution Methods and Preconditioners for Block-Tridiagonal Systems of Equations
• Grid Independent Convergence of the Multigrid Method for First-Order Equations
• α-GMRES: A new parallelizable iterative solver for large sparse non-symmetric linear systems arising from CFD
• Linear stability condition for explicit Runge–Kutta methods to solve the compressible Navier‐Stokes equations
• Computational transonics