Implementation of exponential Rosenbrock-type integrators

DOI10.1016/j.apnum.2008.03.021zbMath1160.65318OpenAlexW1963635807MaRDI QIDQ1007379

Marco Caliari, Alexander Ostermann

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.021

zbMATH Keywords

numerical experimentsMATLABvariable step sizeparabolic evolution equationsexponential integratorsNewton interpolationFORTRANRosenbrock-type methodsimplementation of matrix functionsreal Leja points

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear higher-order PDEs (35G20) Numerical solutions to equations with nonlinear operators (65J15)

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Uses Software

• Matlab
• RKC
• RODAS
• Expint

Cites Work

• Unnamed Item
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• On Krylov Subspace Approximations to the Matrix Exponential Operator
• Comparing Leja and Krylov Approximations of Large Scale Matrix Exponentials
• Exponential Rosenbrock-Type Methods
• Preconditioning Lanczos Approximations to the Matrix Exponential
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
• Second order Chebyshev methods based on orthogonal polynomials