An algebraic test forA 0-stability

DOI10.1007/BF01932019zbMath0399.65050OpenAlexW1991640989MaRDI QIDQ4184214

Armin Friedli, Rolf Jeltsch

Publication date: 1978

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932019

zbMATH Keywords

StabilityOrdinary Differential EquationsNumerical MethodsInitial Value ProblemsLinear Multistep MethodsRunge-Kutta MethodsPredictor-Corrector MethodsAlgebraic TestComposite Multistep MethodsLinear Multistep-Multideriative Methods

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

High order formulas with second derivatives for the numerical integration of stiff ordinary differential equations, Optimal subsets in the stability regions of multistep methods, Stiffly stable second derivative multistep methods with higher order and improved stability regions, Accuracy and stability of multistage multistep formulas

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability properties of Brown's multistep multiderivative methods
• \(A_0\)-stability and stiff stability of Brown's multystep multiderivative methods
• An optimal fraction free Routh array†
• A Nonexistence Theorem for Explicit A-Stable Methods
• Multistep Methods Using Higher Derivatives and Damping at Infinity
• Arithmetic tests forA-stability,A[α-stability, and stiff-stability]
• Stiff Stability of Multistep Multiderivative Methods
• Corrigendum: Stiff Stability of Multistep Multiderivative Methods
• Second Derivative Multistep Methods for Stiff Ordinary Differential Equations