A Multi-Block Fourth-Order Energy-Stable Weighted Essentially Non-Oscillatory Finite Difference Scheme

2019 ◽

Vol 362 ◽

pp. 574-595 ◽

Cited By ~ 29

Author(s):

Kelong Cheng ◽

Wenqiang Feng ◽

Cheng Wang ◽

Steven M. Wise

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Hilliard Equation ◽

Energy Stable ◽

Cahn Hilliard Equation

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An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen–Cahn equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.10.028 ◽

2019 ◽

Vol 77 (4) ◽

pp. 1042-1054 ◽

Cited By ~ 2

Author(s):

Jianmin Long ◽

Chaojun Luo ◽

Qian Yu ◽

Yibao Li

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Cahn Equation

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A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems

Advances in Difference Equations ◽

10.1186/s13662-017-1115-4 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 4

Author(s):

Navnit Jha ◽

Neelesh Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Convection Diffusion ◽

Variable Mesh ◽

Diffusion Problems

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Optimal Fourth-order Staggered-grid Finite-difference Scheme for 3D Frequency-domain Viscoelastic Wave Modeling

77th EAGE Conference and Exhibition 2015 ◽

10.3997/2214-4609.201413341 ◽

2015 ◽

Author(s):

Y. Li ◽

B. Han ◽

Y. Chen ◽

Q. He

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Frequency Domain ◽

Fourth Order ◽

Finite Difference Scheme ◽

Staggered Grid ◽

Wave Modeling ◽

Viscoelastic Wave

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A conservative fourth-order stable finite difference scheme for the generalized Rosenau–KdV equation in both 1D and 2D

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.041 ◽

2019 ◽

Vol 355 ◽

pp. 310-331 ◽

Cited By ~ 5

Author(s):

Xiaofeng Wang ◽

Weizhong Dai

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Kdv Equation

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A fourth-order compact finite difference scheme for solving anN-carrier system with Neumann boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20427 ◽

2009 ◽

pp. NA-NA ◽

Cited By ~ 1

Author(s):

Weizhong Dai ◽

Da Yu Tzou

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Carrier System ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Accuracy of the Explicit Planar Free-Surface Boundary Condition Implemented in a Fourth-Order Staggered-Grid Velocity-Stress Finite-Difference Scheme

Bulletin of the Seismological Society of America ◽

10.1785/0120000244 ◽

2001 ◽

Vol 91 (3) ◽

pp. 617-623 ◽

Cited By ~ 39

Author(s):

E. Gottschammer

Keyword(s):

Boundary Condition ◽

Free Surface ◽

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Staggered Grid ◽

Surface Boundary ◽

Free Surface Boundary Condition ◽

Surface Boundary Condition

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On the implementation of perfectly matched layers in a three-dimensional fourth-order velocity-stress finite difference scheme

Journal of Geophysical Research Atmospheres ◽

10.1029/2002jb002235 ◽

2003 ◽

Vol 108 (B5) ◽

Cited By ~ 63

Author(s):

Carey Marcinkovich ◽

Kim Olsen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Perfectly Matched Layers ◽

Matched Layers

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An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

SIAM Journal on Numerical Analysis ◽

10.1137/080738143 ◽

2009 ◽

Vol 47 (3) ◽

pp. 2269-2288 ◽

Cited By ~ 175

Author(s):

S. M. Wise ◽

C. Wang ◽

J. S. Lowengrub

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Phase Field ◽

Finite Difference Scheme ◽

Energy Stable ◽

Phase Field Crystal

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A compact finite difference scheme for the fourth-order fractional diffusion-wave system

Computer Physics Communications ◽

10.1016/j.cpc.2011.04.013 ◽

2011 ◽

Vol 182 (8) ◽

pp. 1645-1650 ◽

Cited By ~ 26

Author(s):

Xiuling Hu ◽

Luming Zhang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Fractional Diffusion ◽

Wave System ◽

Diffusion Wave ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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A Multi-Block Fourth-Order Energy-Stable Weighted Essentially Non-Oscillatory Finite Difference Scheme

An energy stable fourth order finite difference scheme for the Cahn–Hilliard equation

An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen–Cahn equation

A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems

Optimal Fourth-order Staggered-grid Finite-difference Scheme for 3D Frequency-domain Viscoelastic Wave Modeling

A conservative fourth-order stable finite difference scheme for the generalized Rosenau–KdV equation in both 1D and 2D

A fourth-order compact finite difference scheme for solving anN-carrier system with Neumann boundary conditions

Accuracy of the Explicit Planar Free-Surface Boundary Condition Implemented in a Fourth-Order Staggered-Grid Velocity-Stress Finite-Difference Scheme

On the implementation of perfectly matched layers in a three-dimensional fourth-order velocity-stress finite difference scheme

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

A compact finite difference scheme for the fourth-order fractional diffusion-wave system

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