Transparent boundary conditions for iterative high-order parabolic equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.02.037 ◽

2016 ◽

Vol 313 ◽

pp. 144-158 ◽

Author(s):

P.S. Petrov ◽

M. Ehrhardt

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Transparent Boundary Conditions

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Analytic discrete transparent boundary conditions for high-order Padé parabolic equations

Wave Motion ◽

10.1016/j.wavemoti.2008.03.006 ◽

2008 ◽

Vol 45 (7-8) ◽

pp. 881-894 ◽

Author(s):

Dmitry Mikhin

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Transparent Boundary Conditions

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Stability of High Order Accurate Difference Methods for Parabolic Equations with Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/0708054 ◽

1971 ◽

Vol 8 (3) ◽

pp. 569-574 ◽

Author(s):

J. M. Varah

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Difference Methods

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On the stability of the σ-scheme with transparent boundary conditions for parabolic equations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507040100 ◽

2007 ◽

Vol 47 (4) ◽

pp. 644-663

Author(s):

A. A. Zlotnik

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Transparent Boundary Conditions ◽

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Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics

Journal of Computational Physics ◽

10.1006/jcph.1998.6043 ◽

1998 ◽

Vol 145 (2) ◽

pp. 611-638 ◽

Author(s):

Anton Arnold ◽

Matthias Ehrhardt

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Underwater Acoustics ◽

Transparent Boundary Conditions

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Discrete transparent boundary conditions for parabolic equations

10.1121/1.3673071 ◽

2011 ◽

Author(s):

Ronald F. Pannatoni

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Transparent Boundary Conditions

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Exact discrete nonlocal boundary conditions for high-order Padé parabolic equations

The Journal of the Acoustical Society of America ◽

10.1121/1.1802811 ◽

2004 ◽

Vol 116 (5) ◽

pp. 2864-2875 ◽

Author(s):

Dmitry Mikhin

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

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Discrete transparent boundary conditions for parabolic equations

The Journal of the Acoustical Society of America ◽

10.1121/1.3655094 ◽

2011 ◽

Vol 130 (4) ◽

pp. 2528-2528

Author(s):

Ronald F. Pannatoni

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Transparent Boundary Conditions

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Transparent Boundary Conditions for the Wave Equation: High-Order Approximation and Coupling with Characteristic NRBCs

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 ◽

10.1007/978-3-319-19800-2_43 ◽

2015 ◽

pp. 465-473

Author(s):

I. Sofronov ◽

L. Dovgilovich

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Order Approximation ◽

Transparent Boundary Conditions ◽

High Order Approximation

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High Order Transparent Boundary Conditions for the Helmholtz Equation

Modern Solvers for Helmholtz Problems - Geosystems Mathematics ◽

10.1007/978-3-319-28832-1_2 ◽

2017 ◽

pp. 27-52

Author(s):

Lothar Nannen

Keyword(s):

Boundary Conditions ◽

Helmholtz Equation ◽

Transparent Boundary Conditions

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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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