A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
Author:
Funder
National Research University Higher School of Economics (HSE), Russia
Russian Foundation for the Basic Research
Publisher
Elsevier BV
Subject
Applied Mathematics
Reference10 articles.
1. A high order compact time/space finite difference scheme for the wave equation with variable speed of sound;Britt;J. Sci. Comput.,2018
2. A compact high order Alternating Direction Implicit method for three-dimensional acoustic wave equation with variable coefficient;Li;J. Comput. Appl. Math.,2019
3. Compact high order accurate schemes for the three dimensional wave equation;Smith;J. Sci. Comput.,2019
4. On compact 4th order finite-difference schemes for the wave equation;Zlotnik,2020
5. The Numerov–Crank–Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis;Zlotnik;Relat. Models,2015
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1. On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations;Applied Numerical Mathematics;2024-01
2. On Construction and Properties of Compact 4th Order Finite-Difference Schemes for the Variable Coefficient Wave Equation;Journal of Scientific Computing;2023-02-15
3. Skew-Symmetric Difference Analogs of the Fourth-Order Approximation to the First Derivative;Journal of Applied and Industrial Mathematics;2022-11
4. ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION;Mathematical Modelling and Analysis;2021-09-10
5. The Numerov process over a non-uniform grid;Journal of Computational Electronics;2021-04-13
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