\(A(\alpha)\)-stable cyclic composite multistep methods of order 5

DOI10.1007/BF02251950zbMath0398.65048MaRDI QIDQ1254095

M. Mihelcic

Publication date: 1978

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Ordinary Differential EquationsNumerical MethodsInitial Value Problems3-Step MethodBackward Difference FormulaStability Region

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) Numerical analysis in abstract spaces (65J99)

Cites Work

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• On the order of composite multistep methods for ordinary differential equations
• Explicit, optimal stability functionals and their application to cyclic discretization methods
• Numerical solution of ordinary differential equations
• Convergence and stability in the numerical integration of ordinary differential equations
• A stiffly stable integration process using cyclic composite methods
• Cyclic Composite Multistep Predictor-Corrector Methods
• A special stability problem for linear multistep methods

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