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

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106949 ◽

2021 ◽

Vol 115 ◽

pp. 106949

Author(s):

Alexander Zlotnik ◽

Raimondas Čiegis

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order

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On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.08.024 ◽

2014 ◽

Vol 270 ◽

pp. 571-583 ◽

Cited By ~ 19

Author(s):

Wenyuan Liao

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Acoustic Wave ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order ◽

Dispersion Stability ◽

Acoustic Wave Equation ◽

Stability And Accuracy

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Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers

Computational and Applied Mathematics ◽

10.1007/s40314-021-01564-w ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Vikas Gupta ◽

Sanjay K. Sahoo ◽

Ritesh K. Dubey

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Layers ◽

Finite Difference Scheme ◽

Turning Point ◽

Higher Order ◽

Singularly Perturbed ◽

Point Problem ◽

Outflow Boundary

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Higher Order Finite Difference Scheme for solving 3D Black-Scholes equation based on Generic Factored Approximate Sparse Inverse Preconditioning using Reordering Schemes

Proceedings of the 18th Panhellenic Conference on Informatics - PCI '14 ◽

10.1145/2645791.2645821 ◽

2014 ◽

Author(s):

E-N. G. Grylonakis ◽

C. K. Filelis-Papadopoulos ◽

G. A. Gravvanis

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order ◽

Black Scholes

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Uniformly convergent higher-order finite difference scheme for singularly perturbed parabolic problems with non-smooth data

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2021.1.01 ◽

2021 ◽

Vol 20 (1) ◽

pp. 5-16

Author(s):

Tesfaye Aga Bullo ◽

Guy Aymard Degla ◽

Gemechis File Duressa

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Uniformly Convergent ◽

Singularly Perturbed Parabolic Problems ◽

Smooth Data

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A simplified staggered-grid finite-difference scheme and its linear solution for the first-order acoustic wave-equation modeling

Journal of Computational Physics ◽

10.1016/j.jcp.2018.08.011 ◽

2018 ◽

Vol 374 ◽

pp. 863-872 ◽

Cited By ~ 2

Author(s):

Wenquan Liang ◽

Xiu Wu ◽

Yanfei Wang ◽

Changchun Yang

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Acoustic Wave ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Staggered Grid ◽

Equation Modeling ◽

Acoustic Wave Equation ◽

Linear Solution ◽

First Order

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A simple finite-difference scheme for handling topography with the first-order wave equation

Geophysical Journal International ◽

10.1093/gji/ggx178 ◽

2017 ◽

Vol 210 (1) ◽

pp. 482-499 ◽

Cited By ~ 3

Author(s):

W.A. Mulder ◽

M.J. Huiskes

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

First Order

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An efficient hybrid pseudospectral/finite-difference scheme for solving the TTI pure P-wave equation

Journal of Geophysics and Engineering ◽

10.1088/1742-2132/10/2/025004 ◽

2013 ◽

Vol 10 (2) ◽

pp. 025004 ◽

Cited By ~ 16

Author(s):

Ge Zhan ◽

Reynam C Pestana ◽

Paul L Stoffa

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

P Wave

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Wave equation datuming from irregular surfaces using finite difference scheme

10.1190/1.1820795 ◽

1999 ◽

Cited By ~ 5

Author(s):

Kai Yang ◽

Huazhong Wang ◽

Zaitian Ma

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Irregular Surfaces

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An efficient hybrid pseudospectral/finite-difference scheme for solving TTI pure P-wave equation

10.1190/sbgf2013-272 ◽

2013 ◽

Author(s):

Ge Zhan ◽

Reynam C. Pestana ◽

Paul L. Stoffa

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

P Wave

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An explicit finite-difference scheme for solving the ocean acoustic parabolic wave equation

Computers & Mathematics with Applications ◽

10.1016/0898-1221(85)90097-5 ◽

1985 ◽

Vol 11 (9) ◽

pp. 937-942 ◽

Cited By ~ 2

Author(s):

Germana Peggion ◽

James J. O'Brien

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Explicit Finite Difference

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