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On the order of composite multistep methods for ordinary differential equations

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Publication:1240029
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DOI10.1007/BF01432876zbMath0362.65061MaRDI QIDQ1240029

Peter Albrecht

Publication date: 1978

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132527

zbMATH Keywords

stabilityordinary differential equationsorder of convergenceorder of consistencycomposite multistep methodscyclic k-step methods


Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)


Related Items

\(A(\alpha)\)-stable cyclic composite multistep methods of order 5 ⋮ On optimal high accuracy linear multistep methods for first kind volterra integral equations ⋮ A (α)-Stable Cyclic Composite Multistep Methods of Orders 6 and 7 for Numerical Integration of Stiff Ordinary Differential Equations



Cites Work

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  • Explicit, optimal stability functionals and their application to cyclic discretization methods
  • Generalized Multistep Predictor-Corrector Methods
  • Cyclic Composite Multistep Predictor-Corrector Methods
  • High order stiffly stable composite multistep methods for numerical integration of stiff differential equations
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