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 ◽

Cited By ~ 3

Author(s):

I.L. Sofronov ◽

L. Dovgilovich ◽

N. Krasnov

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Conditions ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Transparent Boundary Conditions ◽

High Order 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 ◽

Cited By ~ 159

Author(s):

Christopher K. W. Tam ◽

Zhong Dong

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

High Order ◽

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 ◽

Cited By ~ 4

Author(s):

Zhen-sheng Sun ◽

Yu-xin Ren ◽

Bai-lin Zha ◽

Shi-ying Zhang

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Compressible Flows ◽

High Order ◽

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 ◽

Cited By ~ 1

Author(s):

Christopher Tam ◽

Zhong Dong

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Computational Aeroacoustics ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

High Order Finite Difference

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The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

Journal of Computational Physics ◽

10.1006/jcph.1993.1182 ◽

1993 ◽

Vol 108 (2) ◽

pp. 272-295 ◽

Cited By ~ 284

Author(s):

Mark H. Carpenter ◽

David Gottlieb ◽

Saul Abarbanel

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Boundary Treatments ◽

The Stability ◽

High Order Finite Difference

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High-Order Finite-Difference Schemes

Effective Computational Methods for Wave Propagation - Numerical Insights ◽

10.1201/9781420010879.ch17 ◽

2008 ◽

pp. 491-519

Author(s):

J Ekaterinaris

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01144-w ◽

2020 ◽

Vol 82 (2) ◽

Cited By ~ 2

Author(s):

Hao Li ◽

Xiangxiong Zhang

Keyword(s):

Finite Difference ◽

Elliptic Equations ◽

Variational Formulation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511030122 ◽

2011 ◽

Vol 51 (3) ◽

pp. 355-376 ◽

Cited By ~ 8

Author(s):

I. A. Zlotnik

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Infinite Strip ◽

Transparent Boundary Conditions ◽

Nonstationary Schrödinger Equation

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Erratum To: "High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation, Mathematical and Computational Applications, Vol. 15, No. 3, 449-460, 2010."

Mathematical and Computational Applications ◽

10.3390/mca16040979 ◽

2011 ◽

Vol 16 (4) ◽

pp. 979-979

Author(s):

Murat Sari ◽

Gürhan Gürarslan ◽

Asuman Zeytinoğlu

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

High Order Finite Difference

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Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_20 ◽

2014 ◽

pp. 203-211 ◽

Cited By ~ 1

Author(s):

Alexander Zlotnik ◽

Bernard Ducomet ◽

Ilya Zlotnik ◽

Alla Romanova

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Difference Schemes ◽

Time Dependent ◽

Finite Difference Schemes ◽

Transparent Boundary Conditions

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Conservative metric evaluation for high-order finite difference schemes with the GCL identities on moving and deforming grids

Journal of Computational Physics ◽

10.1016/j.jcp.2012.08.031 ◽

2013 ◽

Vol 232 (1) ◽

pp. 14-21 ◽

Cited By ~ 19

Author(s):

Yoshiaki Abe ◽

Nobuyuki Iizuka ◽

Taku Nonomura ◽

Kozo Fujii

Keyword(s):

Finite Difference ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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