Dispersion analysis of numerical wave propagation and its computational consequences

DOI10.1007/BF02087959zbMath0840.76060OpenAlexW2049200548MaRDI QIDQ1908491

Alain Sei, William W. Symes

Publication date: 10 July 1996

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02087959

zbMATH Keywords

compact schemestaggered schemecomputational costprecision criterionschemes of fourth order accuracy

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05)

Related Items (4)

Numerical methods for viscous and nonviscous wave equations ⋮ High-order schemes for acoustic waveform simulation ⋮ High accuracy wave simulation - revised derivation, numerical analysis and testing of a nearly analytic integration discrete method for solving acoustic wave equation ⋮ Alternating direction implicit time integrations for finite difference acoustic wave propagation: parallelization and convergence

Cites Work

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• Fourth order schemes for the heterogeneous acoustics equation
• Error analysis of numerical schemes for the wave equation in heterogeneous media
• A Note on the Numerical Solution of the Wave Equation With Piecewise Smooth Coefficients
• A Modified Equation Approach to Constructing Fourth Order Methods for Acoustic Wave Propagation
• Group Velocity in Finite Difference Schemes
• Difference schemes for hyperbolic equations with high order of accuracy

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