The Williams step increases the stability and accuracy of the hoRA time filter

DOI10.1016/j.apnum.2018.05.003zbMath1446.65038OpenAlexW2800932029WikidataQ129856681 ScholiaQ129856681MaRDI QIDQ1635497

Ahmet Guzel, Cǎ tǎ lin Trenchea

Publication date: 6 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.05.003

zbMATH Keywords

leapfrog methodmodified equationsRobert-Asselin time filter

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 (6)

Refactorization of the midpoint rule ⋮ Time filters and spurious acoustics in artificial compression methods ⋮ Numerical analysis of a time filtered scheme for a linear hyperbolic equation inspired by DNA transcription modeling ⋮ Boundary update via resolvent for fluid-structure interaction ⋮ Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna ⋮ Efficient nonlinear filter stabilization of the Leray-\(\alpha\) model

Uses Software

• RODAS
• mctoolbox

Cites Work

• A higher-order Robert-Asselin type time filter
• Stability analysis of the Crank-Nicolson-leapfrog method with the Robert-Asselin-Williams time filter
• Geometric Numerical Integration
• Solving Ordinary Differential Equations I
• Numerical Methods for Fluid Dynamics
• Deterministic Nonperiodic Flow
• On the Scope of the Method of Modified Equations
• Solving Ordinary Differential Equations II
• Numerical Methods for Ordinary Differential Equations
• Recent developments in IMEX methods with time filters for systems of evolution equations
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