Optimization of the Runge-Kutta iteration with residual smoothing

DOI10.1016/J.CAM.2009.12.023zbMath1189.65062OpenAlexW2013107948MaRDI QIDQ964948

B. E. Eshmatov

Publication date: 21 April 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.023

zbMATH Keywords

numerical examplespreconditionerlinear advection equationiterative solutionmulti-gridmulti-stagecentral and upwind residual smoothingCourant-Friedrichs-Lewy numbersRunge-Kutta iteration

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Linear ordinary differential equations and systems (34A30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Preconditioners for iterative methods (65F08)

Related Items (1)

High-order implicit residual smoothing time scheme for direct and large eddy simulations of compressible flows

Cites Work

• Multi-staging of Jacobi relaxation in multigrid methods for steady Euler equations. II
• A generalization of the Runge-Kutta iteration

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