Comparison of Dissipation and Dispersion Properties of Compact Difference Schemes for the Numerical Solution of the Advection Equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542521110026 ◽

2021 ◽

Vol 61 (11) ◽

pp. 1711-1722

Author(s):

E. N. Aristova ◽

G. O. Astafurov

Keyword(s):

Numerical Solution ◽

Difference Schemes ◽

Advection Equation ◽

Compact Difference Schemes ◽

Dispersion Properties ◽

Compact Difference

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A fast forward algorithm for three-dimensional gravity gradient tensor using the compact difference schemes

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/660/1/012121 ◽

2021 ◽

Vol 660 (1) ◽

pp. 012121

Author(s):

Shuanggui Hu ◽

Kejia Pan ◽

Jingtian Tang

Keyword(s):

Three Dimensional ◽

Difference Schemes ◽

Gravity Gradient ◽

Gradient Tensor ◽

Forward Algorithm ◽

Gravity Gradient Tensor ◽

Compact Difference Schemes ◽

Compact Difference ◽

Dimensional Gravity

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Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126055 ◽

2021 ◽

Vol 401 ◽

pp. 126055

Author(s):

Gengen Zhang

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

Fourth Order Wave Equation

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Simulating waves in flows by Runge-Kutta and compact difference schemes

AIAA Journal ◽

10.2514/3.12470 ◽

1995 ◽

Vol 33 (3) ◽

pp. 421-429 ◽

Author(s):

Sheng-Tao Yu ◽

Kwang-Chung Hsieh ◽

Y.-L. Peter Tsai

Keyword(s):

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

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Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.08.027 ◽

2021 ◽

Vol 100 ◽

pp. 1-10

Author(s):

Li Chai ◽

Yang Liu ◽

Hong Li

Keyword(s):

Fourth Order ◽

Difference Schemes ◽

Two Dimensional ◽

Transport Models ◽

Compact Difference Schemes ◽

Compact Difference

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A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation

Journal of Scientific Computing ◽

10.1007/s10915-012-9607-6 ◽

2012 ◽

Vol 54 (1) ◽

pp. 97-120 ◽

Author(s):

Shuying Zhai ◽

Xinlong Feng ◽

Yinnian He

Keyword(s):

Poisson Equation ◽

Fourth Order ◽

Three Dimensional ◽

Difference Schemes ◽

Sixth Order ◽

Compact Difference Schemes ◽

Compact Difference

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A numerical study of the two- and three-dimensional unsteady Navier-Stokes equations in velocity-vorticity variables using compact difference schemes

Ninth International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/3-540-13917-6_141 ◽

2008 ◽

pp. 235-239

Author(s):

T. B. Gatski ◽

C. E. Grosch

Keyword(s):

Stokes Equations ◽

Numerical Study ◽

Three Dimensional ◽

Difference Schemes ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Compact Difference Schemes ◽

Compact Difference

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On the Suitability of Centered and Upwind-Biased Compact Difference Schemes for Large Eddy Smulations (II) - Static Error Analysis -

Transactions of the Korean Society of Mechanical Engineers B ◽

10.3795/ksme-b.2003.27.7.984 ◽

2003 ◽

Vol 27 (7) ◽

pp. 984-994

Keyword(s):

Error Analysis ◽

Difference Schemes ◽

Static Error ◽

Compact Difference Schemes ◽

Compact Difference ◽

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Conservative and fourth-order compact difference schemes for the generalized Rosenau–Kawahara–RLW equation

Engineering With Computers ◽

10.1007/s00366-020-01113-9 ◽

2020 ◽

Author(s):

Xiaofeng Wang ◽

Hong Cheng ◽

Weizhong Dai

Keyword(s):

Fourth Order ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.08.012 ◽

2014 ◽

Vol 277 ◽

pp. 1-15 ◽

Author(s):

Zhibo Wang ◽

Seakweng Vong

Keyword(s):

Wave Equation ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Difference Schemes ◽

Diffusion Wave ◽

Compact Difference Schemes ◽

Compact Difference

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Conservative compact difference schemes for the coupled nonlinear schrödinger system

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21826 ◽

2013 ◽

Vol 30 (3) ◽

pp. 749-772 ◽

Author(s):

Xiuling Hu ◽

Luming Zhang

Keyword(s):

Difference Schemes ◽

Nonlinear Schrödinger ◽

Compact Difference Schemes ◽

Compact Difference ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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