Refactorization of the midpoint rule

DOI10.1016/j.aml.2020.106438zbMath1453.65157OpenAlexW3018722875MaRDI QIDQ2186748

John Burkardt, Cǎ tǎ lin Trenchea

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106438

zbMATH Keywords

symplectic methodtime adaptivitypartitioning algorithmsHamiltonian conservationA-stable and B-stable

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) Error bounds for numerical methods for ordinary differential equations (65L70)

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Uses Software

• RODAS

Cites Work

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• A higher-order Robert-Asselin type time filter
• Finite element approximation of the Navier-Stokes equations
• Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow
• On quadratic invariants and symplectic structure
• The Williams step increases the stability and accuracy of the hoRA time filter
• Time filters increase accuracy of the fully implicit method
• Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization
• Numerical approximation of hyperbolic systems of conservation laws
• Stability of Two-Step Methods for Variable Integration Steps
• G-stability is equivalent toA-stability
• Solving Ordinary Differential Equations I
• On One-Leg Multistep Methods
• Numerical Methods for Fluid Dynamics
• A stability property of implicit Runge-Kutta methods
• Elementary Numerical Analysis
• The Midpoint Scheme and Variants for Hamiltonian Systems: Advantages and Pitfalls
• Solving Ordinary Differential Equations II
• Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations
• Geometric Numerical Integration
• Numerical Methods for Ordinary Differential Equations
• Numerical Methods for Ordinary Differential Equations
• Recent developments in IMEX methods with time filters for systems of evolution equations

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