Uniform dispersion reduction schemes for the one dimensional wave equation in isotropic media

DOI10.1016/j.jcp.2017.04.015zbMath1380.65140OpenAlexW2605201348MaRDI QIDQ1686571

Yajun An

Publication date: 15 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.015

zbMATH Keywords

optimizationwave equationfinite difference methodsdispersion relation

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

Applying an advanced temporal and spatial high-order finite-difference stencil to 3D seismic wave modeling ⋮ Time-space domain dispersion reduction schemes in the uniform norm for the 2D acoustic wave equation ⋮ Error-optimized finite-difference modeling of wave propagation problems with Lorentz material dispersion ⋮ Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation ⋮ Maximizing the CFL number of stable time-space domain explicit finite-difference modeling

Cites Work

• Finite difference time domain dispersion reduction schemes
• The spectral order of accuracy: a new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes
• A new time-space domain high-order finite-difference method for the acoustic wave equation
• Best uniform approximation with Hermite-Birkhoff interpolatory side conditions
• Properties of best approximation with interpolatory and restricted range side conditions
• Group Velocity in Finite Difference Schemes
• A Comprehensive New Methodology for Formulating FDTD Schemes With Controlled Order of Accuracy and Dispersion
• On the Partial Difference Equations of Mathematical Physics
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