Group Velocity in Finite Difference Schemes

Lloyd N. Trefethen

doi:10.1137/1024038

Group Velocity in Finite Difference Schemes

SIAM Review ◽

10.1137/1024038 ◽

1982 ◽

Vol 24 (2) ◽

pp. 113-136 ◽

Cited By ~ 333

Author(s):

Lloyd N. Trefethen

Keyword(s):

Finite Difference ◽

Group Velocity ◽

Difference Schemes ◽

Finite Difference Schemes

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Analysis of the anisotropy of group velocity error due to spatial finite difference schemes from the solution of the 2D linear Euler equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3683 ◽

2012 ◽

Vol 71 (7) ◽

pp. 805-829 ◽

Cited By ~ 1

Author(s):

P. C. Stegeman ◽

M. E. Young ◽

J. Soria ◽

A. Ooi

Keyword(s):

Finite Difference ◽

Group Velocity ◽

Euler Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Velocity Error

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Entropically Damped Artificial Compressibility Solver Using Higher Order Finite Difference Schemes on Curvilinear and Deforming Meshes

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-0634 ◽

2021 ◽

Author(s):

Shankar Achu ◽

Nagabhushana Rao Vadlamani

Keyword(s):

Finite Difference ◽

Higher Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Artificial Compressibility

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On conditions for L2-dissipativity of linearized explicit QGD-finite-difference schemes for the equations of one-dimensional gas dynamics

Доклады Академии наук ◽

10.31857/s086956520003084-5 ◽

2018 ◽

Vol 482 (4) ◽

pp. 375-380

Author(s):

A. Zolotnik ◽

T. Lomonosov

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

One Dimensional

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Conservative finite difference schemes for the modified Camassa-Holm equation

JSIAM Letters ◽

10.14495/jsiaml.3.37 ◽

2011 ◽

Vol 3 (0) ◽

pp. 37-40 ◽

Cited By ~ 2

Author(s):

Yuto Miyatake ◽

Takayasu Matsuo ◽

Daisuke Furihata

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Holm Equation

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Energy-consistent finite difference schemes for compressible hydrodynamics and magnetohydrodynamics using nonlinear filtering

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110232 ◽

2021 ◽

pp. 110232

Author(s):

Haruhisa Iijima

Keyword(s):

Finite Difference ◽

Nonlinear Filtering ◽

Difference Schemes ◽

Finite Difference Schemes

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High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110136 ◽

2021 ◽

Vol 431 ◽

pp. 110136

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

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Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236190412331334527 ◽

2005 ◽

Vol 11 (7) ◽

pp. 645-653 ◽

Cited By ~ 100

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Fundamental Principle ◽

Difference Schemes ◽

Dynamic Consistency ◽

Finite Difference Schemes ◽

Nonstandard Finite Difference

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High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01507-x ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Yilei Shi ◽

Shusen Xie ◽

Dong Liang ◽

Kai Fu

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

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High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113766 ◽

2021 ◽

pp. 113766

Author(s):

Zeyu Xia ◽

Cheng Wang ◽

Liwei Xu ◽

Zhengru Zhang

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Harmonic Mapping ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes

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