Nonlinear stability ofRAT, an explicit rational Runge-Kutta method

DOI10.1007/BF01931271zbMath0418.65037OpenAlexW1975046662MaRDI QIDQ3851537

Ernst Hairer

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01931271

zbMATH Keywords

ordinary differential equationsinitial value problemsnonlinear stabilityrational Runge-Kutta method

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items

On the lack of convergence of unconditionally stable explicit rational Runge-Kutta schemes ⋮ Über die Effektivität einiger nichtlinearer Verfahren bei der numerischen Behandlung steifer Differentialgleichungssysteme ⋮ A note on contractivity in the numerical solution of initial value problems

Cites Work

• Unconditionally stable explicit methods for parabolic equations
• Rational Runge-Kutta methods for solving systems of ordinary differential equations
• Reducibility and contractivity of Runge-Kutta methods revisited