Convergence of rational multistep methods of Adams-Padé type

DOI10.1007/S10543-011-0353-1zbMath1243.65074OpenAlexW2062192885MaRDI QIDQ766231

Magdalena Łapińska, Winfried Auzinger

Publication date: 23 March 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0353-1

zbMATH Keywords

convergencenumerical examplesPadé approximationevolution equationsexponential integratorsstiff initial value problemsAdams schemesrational multistep schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Uses Software

• RODAS
• mftoolbox

Cites Work

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• A new class of time discretization schemes for the solution of nonlinear PDEs
• Rational-fractional methods for solving stiff systems of differential equations
• Exponential integrators
• Solving Ordinary Differential Equations I
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Functions of Matrices
• Operational Calculus and Related Topics
• Multistep Methods with Variable Matrix Coefficients

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