Stiffly stable second derivative multistep methods with higher order and improved stability regions

DOI10.1007/BF01937327zbMath0507.65034OpenAlexW1989621225MaRDI QIDQ1837526

P. C. Chakravarti, Mohamed S. Kamel

Publication date: 1983

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01937327

zbMATH Keywords

A-stabilitystiff systemsstability regions23, 75-83 (1983)stiffly stable second derivative multistep formulas

Mathematics Subject Classification ID

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

Related Items (12)

Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs ⋮ Extended Runge-Kutta-like formulae ⋮ Second derivative general linear methods with inherent Runge-Kutta stability ⋮ High order formulas with second derivatives for the numerical integration of stiff ordinary differential equations ⋮ Optimal subsets in the stability regions of multistep methods ⋮ A new family of multistep numerical integration methods based on Hermite interpolation ⋮ Implementation of second derivative general linear methods ⋮ Linear matrix differential dynamical systems with fuzzy matrices ⋮ Numerical solutions of fuzzy differential equations by extended Runge-Kutta-like formulae of order 4 ⋮ A class of Runge-Kutta formulae of order three and four with reduced evaluations of function ⋮ Stiffly stable second derivative multistep methods with higher order and improved stability regions ⋮ New efficient second derivative multistep methods for stiff systems

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