Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I

Journal of Computational Physics ◽

10.1006/jcph.2000.6420 ◽

2000 ◽

Vol 160 (1) ◽

pp. 42-66 ◽

Author(s):

Saul S. Abarbanel ◽

Alina E. Chertock

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Pdes ◽

Strict Stability ◽

Implicit Finite Difference

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Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II

Journal of Computational Physics ◽

10.1006/jcph.2000.6421 ◽

2000 ◽

Vol 160 (1) ◽

pp. 67-87 ◽

Author(s):

Saul S. Abarbanel ◽

Alina E. Chertock ◽

Amir Yefet

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Pdes ◽

Strict Stability ◽

Implicit Finite Difference

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High-order implicit finite difference schemes for the two-dimensional Poisson equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.006 ◽

2017 ◽

Vol 309 ◽

pp. 222-244

Author(s):

Miguel Uh Zapata ◽

Reymundo Itzá Balam

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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Implicit finite-difference schemes, based on the Rosenbrock method, for nonlinear Schrödinger equation with artificial boundary conditions

PLoS ONE ◽

10.1371/journal.pone.0206235 ◽

2018 ◽

Vol 13 (10) ◽

pp. e0206235 ◽

Author(s):

Vyacheslav A. Trofimov ◽

Evgeny M. Trykin

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Artificial Boundary ◽

Artificial Boundary Conditions ◽

Rosenbrock Method ◽

Implicit Finite Difference

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Wall boundary conditions for high-order finite-difference schemes in computational aeroacoustics

Theoretical and Computational Fluid Dynamics ◽

10.1007/bf00311843 ◽

1994 ◽

Vol 6 (5-6) ◽

pp. 303-322 ◽

Author(s):

Christopher K. W. Tam ◽

Zhong Dong

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Computational Aeroacoustics ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

High Order Finite Difference

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High Order Boundary Conditions for High Order Finite Difference Schemes on Curvilinear Coordinates Solving Compressible Flows

Journal of Scientific Computing ◽

10.1007/s10915-015-9988-4 ◽

2015 ◽

Vol 65 (2) ◽

pp. 790-820 ◽

Author(s):

Zhen-sheng Sun ◽

Yu-xin Ren ◽

Bai-lin Zha ◽

Shi-ying Zhang

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Compressible Flows ◽

Difference Schemes ◽

Curvilinear Coordinates ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Wall boundary conditions for high-order finite difference schemes in computational aeroacoustics

10.2514/6.1994-457 ◽

1994 ◽

Author(s):

Christopher Tam ◽

Zhong Dong

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Computational Aeroacoustics ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

High Order Finite Difference

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Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes

Journal of Computational Physics ◽

10.1006/jcph.1994.1057 ◽

1994 ◽

Vol 111 (2) ◽

pp. 220-236 ◽

Author(s):

Mark H. Carpenter ◽

David Gottlieb ◽

Saul Abarbanel

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Hyperbolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Schemes ◽

Systems Methodology ◽

Stable Boundary

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Application of transparent boundary conditions to high-order finite-difference schemes for the wave equation in waveguides

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.06.006 ◽

2015 ◽

Vol 93 ◽

pp. 195-205 ◽

Author(s):

I.L. Sofronov ◽

L. Dovgilovich ◽

N. Krasnov

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Transparent Boundary Conditions ◽

High Order Finite Difference

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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 ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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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 ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

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