Exponential Krylov peer integrators

DOI10.1007/s10543-015-0553-1zbMath1359.65111OpenAlexW2118211408MaRDI QIDQ285299

Jürgen Bruder, Rüdiger Weiner

Publication date: 19 May 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-015-0553-1

zbMATH Keywords

stiff equationsKrylov methodsvariable step sizenumerical testexponential integratorspeer methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)

Related Items (1)

IMEX peer methods for fast-wave-slow-wave problems

Uses Software

• Expokit
• RKC
• RODAS
• Expint
• ROWMAP
• phipm

Cites Work

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• Exponential peer methods
• ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs
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• A class of explicit exponential general linear methods
• Exponential integrators
• Algorithm 919
• Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
• Solving Ordinary Differential Equations I
• Expokit
• Exponential Integrators for Large Systems of Differential Equations
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Parallel Two-Step W-Methods with Peer Variables
• New Adaptive Exponential Propagation Iterative Methods of Runge--Kutta Type
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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