Development of arbitrary-order multioperators-based schemes for parallel calculations. II: Families of compact approximations with two-diagonal inversions and related multioperators

DOI10.1016/J.JCP.2007.11.036zbMath1137.65400OpenAlexW2018503821MaRDI QIDQ2479488

Andrei I. Tolstykh

Publication date: 26 March 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.11.036

zbMATH Keywords

numerical examplesBurgers' equationmultioperatorsapproximation to derivativesbasis and multioperators quadraturescompact approximations with inverses of two-point operatorsgrid functionalsinterpolation and extrapolation formulasschemes for hyperbolic conservation laws

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (5)

Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms ⋮ High-order multioperators-based schemes: developments and applications ⋮ On 16th and 32th Order Multioperators-Based Schemes for Smooth and Discontinuous Fluid Dynamics Solutions ⋮ Tenth-order accurate multioperator scheme and its application in direct numerical simulation ⋮ Instability and acoustic fields of the Rankine vortex as seen from long-term calculations with the tenth-order multioperators-based scheme

Cites Work

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• Development of arbitrary-order multioperators-based schemes for parallel calculations. I: Higher-than-fifth-order approximations to convection terms
• A family of compact approximations and related multioperator approximations of a given order
• Construction of schemes of prescribed order of accuracy with linear combinations of operators

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