Monotonicity and boundedness in implicit Runge-Kutta methods

DOI10.1007/BF01389670zbMath0583.65045OpenAlexW1985503499MaRDI QIDQ1069275

Marc N. Spijker

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133141

zbMATH Keywords

implicit Runge-Kutta methodstest equationB-stabilitycontractivityalgebraic stabilitystiff initial value problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Properties of Runge-Kutta-summation-by-parts methods ⋮ Boundedness and strong stability of Runge-Kutta methods ⋮ Algebraic stability and error propagation in Runge-Kutta methods ⋮ B-convergence: A survey ⋮ Reducibility and contractivity of Runge-Kutta methods revisited ⋮ A note on contractivity in the numerical solution of initial value problems ⋮ Stability and boundedness in the numerical solution of initial value problems

Cites Work

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• Stability Properties for a General Class of Methods for Ordinary Differential Equations
• Stability Criteria for Implicit Runge–Kutta Methods