Dahlquist's first barrier for multistage multistep formulas

DOI10.1007/BF01934912zbMath0562.65049MaRDI QIDQ1057038

Rolf Jeltsch, Olavi Nevanlinna

Publication date: 1984

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

lower boundsoptimal orderstepsize selectionorder barriermultistep-multiderivative method

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

Accuracy and stability of multistage multistep formulas

Cites Work

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• A proof of the first Dahlquist barrier by order stars
• Stability of explicit time discretizations for solving initial value problems
• Stability and accuracy of time discretizations for initial value problems
• Convergence and stability in the numerical integration of ordinary differential equations
• Stability of Semidiscretizations of Hyperbolic Problems
• A note on unconditionally stable linear multistep methods
• Finite Difference Forms Containing Derivatives of Higher Order

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