A compact high order alternating direction implicit method for three-dimensional acoustic wave equation with variable coefficient

DOI10.1016/j.cam.2019.04.013zbMath1422.65161arXiv1903.08108OpenAlexW2921771552WikidataQ128030741 ScholiaQ128030741MaRDI QIDQ2315834

Keran Li, Wenyuan Liao, Yaoting Lin

Publication date: 26 July 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08108

zbMATH Keywords

Padé approximationheterogeneous mediaacoustic wave equationcompact finite difference methodalternative direction implicit

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Padé approximation (41A21) Hydro- and aero-acoustics (76Q05) PDEs in connection with geophysics (35Q86)

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Cites Work

• Unnamed Item
• Unnamed Item
• A new high accuracy locally one-dimensional scheme for the wave equation
• Finite difference time domain dispersion reduction schemes
• High-order schemes for acoustic waveform simulation
• A three-point combined compact difference scheme
• Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
• Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation
• An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation
• Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media
• On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• A Modified Equation Approach to Constructing Fourth Order Methods for Acoustic Wave Propagation
• Alternating Direction Methods for Hyperbolic Differential Equations
• Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
• A High Accuracy Alternating Direction Method for the Wave Equation

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