A stability result for general linear methods with characteristic function having real poles only

DOI10.1007/BF02510263zbMath0915.65095OpenAlexW2085863943MaRDI QIDQ1272887

G.-Y. Psihoyios, Jeff R. Cash

Publication date: 7 March 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510263

zbMATH Keywords

\(A\)-stabilitygeneral linear methodsorder boundsmultivalue methodsBDF formulasDaniel-Moore conjecture

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (13)

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Uses Software

• MEBDF
• RODAS

Cites Work

• Second Derivative Extended Backward Differentiation Formulas for the Numerical Integration of Stiff Systems
• Attainable order of rational approximations to the exponential function with only real poles
• An MEBDF code for stiff initial value problems
• A special stability problem for linear multistep methods
• WhenI-stability impliesA-stability
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