A note on the stability of rational Runge-Kutta methods

DOI10.1007/BF02243228zbMath0682.65034OpenAlexW159743449MaRDI QIDQ1824357

Yanyan Li

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243228

zbMATH Keywords

stabilitysystem\(A_ 0\)-boundedRational Runge-Kutta 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)

Cites Work

• A note on contractivity in the numerical solution of initial value problems
• Rational Runge-Kutta methods are not suitable for stiff systems of ODEs
• Unconditionally stable explicit methods for parabolic equations
• Rational Runge-Kutta methods for solving systems of ordinary differential equations
• On the implementation of implicit Runge-Kutta methods
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