A (α)-Stable Cyclic Composite Multistep Methods of Orders 6 and 7 for Numerical Integration of Stiff Ordinary Differential Equations

DOI10.1002/zamm.19810610609zbMath0479.65043OpenAlexW2013307083MaRDI QIDQ3938438

M. Mihelcic, K. Wingerath

Publication date: 1981

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19810610609

zbMATH Keywords

stiff equationsstability regionA-alpha-stabilitycyclic composite multistep methodsM-cyclic k-step methods

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)

Cites Work

• On the order of composite multistep methods for 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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