Stability analysis of inverse Lax–Wendroff boundary treatment of high order compact difference schemes for parabolic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113711 ◽

2021 ◽

pp. 113711

Author(s):

Tingting Li ◽

Jianfang Lu ◽

Chi-Wang Shu

Keyword(s):

Stability Analysis ◽

Parabolic Equations ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

Boundary Treatment

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Distributed Solution of High-Order Compact Difference Schemes for Multidimensional Convection-Diffusion Equations

Computational Science and Its Applications — ICCSA 2003 - Lecture Notes in Computer Science ◽

10.1007/3-540-44842-x_24 ◽

2003 ◽

pp. 226-235

Author(s):

Matthew F. Dixon ◽

Kenneth Tan

Keyword(s):

Difference Schemes ◽

Diffusion Equations ◽

Convection Diffusion ◽

Compact Difference Schemes ◽

Compact Difference

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High-order compact-difference schemes for time-dependent Maxwell equations

10.2514/6.1998-2471 ◽

1998 ◽

Author(s):

J. Shang

Keyword(s):

Maxwell Equations ◽

Difference Schemes ◽

Time Dependent ◽

Compact Difference Schemes ◽

Compact Difference

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Stability Analysis of the Inverse Lax–Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0258-x ◽

2016 ◽

Vol 70 (2) ◽

pp. 576-607 ◽

Author(s):

Tingting Li ◽

Chi-Wang Shu ◽

Mengping Zhang

Keyword(s):

Stability Analysis ◽

Difference Schemes ◽

Diffusion Equations ◽

Central Difference ◽

Boundary Treatment

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High order compact difference schemes for the complex flow fields in anisotropic porous fibrous media with sorption

Computers & Fluids ◽

10.1016/j.compfluid.2013.09.030 ◽

2013 ◽

Vol 88 ◽

pp. 473-483 ◽

Author(s):

Qingyong Zhu ◽

Dingling Zhang ◽

Shuyan Deng ◽

Yaoqin Chen ◽

Junjun Sun

Keyword(s):

Flow Fields ◽

Difference Schemes ◽

Complex Flow ◽

Fibrous Media ◽

Compact Difference Schemes ◽

Compact Difference

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Stability analysis of the inverse Lax–Wendroff boundary treatment for high order upwind-biased finite difference schemes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.11.038 ◽

2016 ◽

Vol 299 ◽

pp. 140-158 ◽

Author(s):

Tingting Li ◽

Chi-Wang Shu ◽

Mengping Zhang

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Boundary Treatment

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Compact difference schemes of high-order accuracy

Journal of Mathematical Sciences ◽

10.1007/s10958-012-0795-2 ◽

2012 ◽

Vol 183 (1) ◽

pp. 29-42

Author(s):

M. V. Kutniv ◽

V. L. Makarov

Keyword(s):

Difference Schemes ◽

High Order Accuracy ◽

Order Accuracy ◽

Compact Difference Schemes ◽

Compact Difference

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Optimised High-Order Compact Difference Schemes for Internal Acoustics Problems On Curvilinear Domains

Journal of Physics Conference Series ◽

10.1088/1742-6596/1184/1/012005 ◽

2019 ◽

Vol 1184 ◽

pp. 012005

Author(s):

Christopher Beckwith ◽

Koulis Pericleous ◽

Valdis Bojarevics

Keyword(s):

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference

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High-order compact difference schemes with Richardson extrapolation for semilinear parabolic systems

10.1063/1.4968448 ◽

2016 ◽

Author(s):

I. Dimov ◽

J. Kandilarov ◽

V. Todorov ◽

L. Vulkov

Keyword(s):

Parabolic Systems ◽

Richardson Extrapolation ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

Semilinear Parabolic Systems ◽

Semilinear Parabolic

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A class of high-order compact difference schemes for solving the Burgers’ equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.04.023 ◽

2019 ◽

Vol 358 ◽

pp. 394-417 ◽

Author(s):

Xiaojia Yang ◽

Yongbin Ge ◽

Lin Zhang

Keyword(s):

Difference Schemes ◽

Burgers Equations ◽

Compact Difference Schemes ◽

Compact Difference

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High-order compact difference schemes for the modified anomalous subdiffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21992 ◽

2015 ◽

Vol 32 (1) ◽

pp. 213-242 ◽

Author(s):

Hengfei Ding ◽

Changpin Li

Keyword(s):

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

Subdiffusion Equation

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