Orthogonal polynomials, Padé approximations and \(A\)-stability

DOI10.1007/BF02142489zbMath0845.65038MaRDI QIDQ1911441

John C. Butcher

Publication date: 28 April 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

exponential functionPadé approximationsRunge-Kutta methods\(A\)-stability\(A\)-stable methods

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)

Uses Software

• RODAS

Cites Work

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• On rational approximations to the exponential
• A-Stable Methods and Padé Approximations to the Exponential
• Implicit Runge-Kutta Processes

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