Equivalent Forms of Multistep Formulas

DOI10.2307/2006457zbMath0439.65058OpenAlexW4256051129MaRDI QIDQ3881830

Robert D. Skeel

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006457

zbMATH Keywords

predictor-corrector methodlinear multistep formulaNordsieck method

Mathematics Subject Classification ID

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

Related Items

On the continuous extension of Adams-Bashforth methods and the event location in discontinuous ODEs, Pulse detection software for initial value ODEs, Linear multistep methods as irreducible general linear methods, On quasi-consistent integration by Nordsieck methods, Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna, A probabilistic model for the numerical solution of initial value problems, Nested second derivative two-step Runge-Kutta methods, A collocation formulation of multistep methods for variable step-size extensions

Uses Software

• DIFSUB

Cites Work

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• Some New High-Order Multistep Formulae for Solving Stiff Equations
• Consistency of Nordsieck Methods
• Blended Linear Multistep Methods
• On Nordsieck's method for the numerical solution of ordinary differential equations
• The Numerical Integration of Ordinary Differential Equations
• A Graphical Search for Stiffly Stable Methods for Ordinary Differential Equations
• A special stability problem for linear multistep methods