Characterization of low degree A-stable symmetric RK collocation methods

DOI10.1016/S0377-0427(99)00127-2zbMath0943.65092MaRDI QIDQ1964097

Roberto Barrio

Publication date: 10 September 2000

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

zbMATH Keywords

A-stabilitycollocation methodsRunge-Kutta methodorder-stansRouth-Hurwitz algorithm

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (2)

Stability and accuracy of differential quadrature method in solving dynamic problems ⋮ Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms

Uses Software

• RODAS

Cites Work

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• The role of orthogonal polynomials in numerical ordinary differential equations
• C-polynomials for rational approximation to the exponential function
• Chebyshev collocation methods for fast orbit determination
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• Accurate long-term integration of dynamical systems
• Order stars and linear stability theory
• Order stars and stability theorems
• Characterization of allA-stable methods of order 2m-4
• On rational approximations to the exponential
• Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
• A-stable block implicit one-step methods

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