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ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION - MaRDI portal

ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION (Q3391351)

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Language	Label	Description	Also known as
English	ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION	scientific article

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scholarly article

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ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION (English)

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Alexander Zlotnik

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Mathematical Modelling and Analysis

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publication date

28 March 2022

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zbMATH Keywords

wave equation

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compact higher-order finite-difference schemes

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stability

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practical error analysis

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non-smooth data

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3846/mma.2021.13770

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Besov spaces and applications to difference methods for initial value problems

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A high order compact time/space finite difference scheme for the wave equation with variable speed of sound

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On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped

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The conservative time high-order AVF compact finite difference schemes for two-dimensional variable coefficient acoustic wave equations

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Variable mesh methods for the numerical solution of two-point singular perturbation problems

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Exact Finite-Difference Schemes

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

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Compact high order accurate schemes for the three dimensional wave equation

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Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients

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High order compact finite difference schemes on nonuniform grids

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The Numerov-Crank-Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis

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PRACTICAL ERROR ANALYSIS FOR THE THREE-LEVEL BILINEAR FEM AND FINITE-DIFFERENCE SCHEME FOR THE 1D WAVE EQUATION WITH NON-SMOOTH DATA

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A ``converse'' stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation

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A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes

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Stability of numerical methods for solving second-order hyperbolic equations with a small parameter

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Fast Fourier solvers for the tensor product high-order FEM for a Poisson type equation

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Identifiers

zbMATH Open document ID

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10.3846/mma.2021.13770

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3391351

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