A sixth-order bicompact scheme with spectral-like resolution for hyperbolic equations

DOI10.1134/S1064562417050192zbMath1381.65077OpenAlexW2765251040MaRDI QIDQ679979

A. V. Chikitkin, Boris V. Rogov

Publication date: 22 January 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417050192

zbMATH Keywords

numerical examplequasilinear hyperbolic equationscollocationsemidiscrete bicompact schemes

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Dispersive and dissipative properties of the fully discrete bicompact schemes of the fourth order of spatial approximation for hyperbolic equations ⋮ Optimized symmetric bicompact scheme of the sixth order of approximation with low dispersion for hyperbolic equations ⋮ Family of central bicompact schemes with spectral resolution property for hyperbolic equations

Uses Software

• RODAS

Cites Work

• Unnamed Item
• A new class of central compact schemes with spectral-like resolution. I: Linear schemes
• Monotone high-order accurate compact scheme for quasilinear hyperbolic equations
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• Iterative approximate factorization for difference operators of high-order bicompact schemes for multidimensional nonhomogeneous hyperbolic systems
• Solving Ordinary Differential Equations II
• Review of Computational Aeroacoustics Algorithms

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