Algebraic characterization of I-stable Runge-Kutta methods

DOI10.1007/BF01931290zbMath0732.65079MaRDI QIDQ808644

Michael Müller

Publication date: 1991

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

A-stabilityimplicit Runge-Kutta methodsalgebraic characterizationB- stabilityI-stability

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

An inverse eigenvalue problem: Computing \(B\)-stable Runge-Kutta methods having real poles

Cites Work

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• On implicity Runge-Kutta methods with a stability function having distinct real poles
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• Matrices with prescribed submatrices
• Attainable order of rational approximations to the exponential function with only real poles
• Algebraic Structure of Generalized Positive Real Matrices