A family of numerical multistep methods with three distinct schemes: explicit advanced step-point (EAS) methods and the EAS1 approach

DOI10.1007/s10910-009-9561-1zbMath1306.65230OpenAlexW2078592867MaRDI QIDQ1037495

J. Blot

Publication date: 16 November 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-009-9561-1

zbMATH Keywords

numerical resultsabsolute stabilitypredictor-corrector methodsmultistep methodslocal error estimatesAdams methodsexplicit advanced step-point methodsmildly stiff and non-stiff initial value problems

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) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for stiff equations (65L04)

Related Items

Explicit advanced step-point (EAS) methods and the EAS2 multistep scheme for the solution of non-stiff initial value problems

Uses Software

• NSDTST
• STDTST

Cites Work

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• EXPONENTIALLY AND TRIGONOMETRICALLY FITTED EXPLICIT ADVANCED STEP-POINT (EAS) METHODS FOR INITIAL VALUE PROBLEMS WITH OSCILLATING SOLUTIONS