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

Tingting Li; Chi-Wang Shu; Mengping Zhang

doi:10.1007/s10915-016-0258-x

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 ◽

Cited By ~ 3

Author(s):

Tingting Li ◽

Chi-Wang Shu ◽

Mengping Zhang

Keyword(s):

Stability Analysis ◽

High Order ◽

Difference Schemes ◽

Diffusion Equations ◽

Central Difference ◽

Boundary Treatment

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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 ◽

Cited By ~ 9

Author(s):

Tingting Li ◽

Chi-Wang Shu ◽

Mengping Zhang

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Boundary Treatment

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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 ◽

High Order ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

Boundary Treatment

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FFT-Based High Order Central Difference Schemes for Poisson’s Equation with Staggered Boundaries

Journal of Scientific Computing ◽

10.1007/s10915-020-01379-7 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Hongsong Feng ◽

Guangqing Long ◽

Shan Zhao

Keyword(s):

High Order ◽

Difference Schemes ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Central Difference

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Stability analysis of three-level difference schemes for initial-boundary problems for multidimensional convective-diffusion equations

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1640090707 ◽

1993 ◽

Vol 9 (7) ◽

pp. 595-605 ◽

Cited By ~ 7

Author(s):

Yue-Kuen Kwok ◽

Kin-Kiu Tam

Keyword(s):

Stability Analysis ◽

Convective Diffusion ◽

Initial Boundary ◽

Difference Schemes ◽

Diffusion Equations ◽

Boundary Problems ◽

Level Difference

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Weakly compressible high-order I-stable central difference schemes for incompressible viscous flows

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00363-7 ◽

2001 ◽

Vol 190 (37-38) ◽

pp. 5009-5026 ◽

Cited By ~ 7

Author(s):

Weizhu Bao ◽

Shi Jin

Keyword(s):

Viscous Flows ◽

High Order ◽

Difference Schemes ◽

Central Difference ◽

Incompressible Viscous Flows ◽

Weakly Compressible

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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):

High Order ◽

Difference Schemes ◽

Diffusion Equations ◽

Convection Diffusion ◽

Compact Difference Schemes ◽

Compact Difference

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FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109391 ◽

2020 ◽

Vol 410 ◽

pp. 109391 ◽

Cited By ~ 3

Author(s):

Hongsong Feng ◽

Shan Zhao

Keyword(s):

Boundary Conditions ◽

Three Dimensional ◽

High Order ◽

Difference Schemes ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Central Difference

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Fast and high-order difference schemes for the fourth-order fractional sub-diffusion equations with spatially variable coefficient under the first Dirichlet boundary conditions

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.02.017 ◽

2021 ◽

Author(s):

Zhe Pu ◽

Maohua Ran ◽

Hong Luo

Keyword(s):

Boundary Conditions ◽

Fourth Order ◽

Variable Coefficient ◽

Dirichlet Boundary ◽

High Order ◽

Difference Schemes ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations ◽

Order Difference

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High Order Correct Difference Schemes for Multi-Dimensional Anisotropic Diffusion Equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19610410606 ◽

1961 ◽

Vol 41 (6) ◽

pp. 263-263

Author(s):

R. Herman ◽

J. R. M. Radok ◽

K. Wang

Keyword(s):

Anisotropic Diffusion ◽

High Order ◽

Difference Schemes ◽

Diffusion Equations

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Cartesian boundary treatment of curved walls for high-order, computational aeroacoustics finite difference schemes

10.2514/6.1996-275 ◽

1996 ◽

Author(s):

K. Kurbatskii ◽

C. Tam

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Computational Aeroacoustics ◽

Boundary Treatment ◽

Curved Walls

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