A Method for the Implementation of Boundary Conditions in High-Accuracy Finite-Difference Schemes

43rd AIAA Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2005-608 ◽

2005 ◽

Cited By ~ 4

Author(s):

Ray Hixon ◽

M. Nallasamy ◽

Scott Sawyer

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

High Accuracy ◽

Difference Schemes ◽

Finite Difference Schemes

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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 ◽

Cited By ~ 1

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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On Construction of Combined Shock-Capturing Finite-Difference Schemes of High Accuracy

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_59 ◽

2017 ◽

pp. 525-532

Author(s):

Vladimir Ostapenko ◽

Olyana Kovyrkina

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Shock Capturing ◽

Finite Difference Schemes

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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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An Improved Representation of Boundary Conditions in Finite Difference Schemes for Seismological Problems

Geophysical Journal International ◽

10.1111/j.1365-246x.1975.tb06191.x ◽

1975 ◽

Vol 43 (3) ◽

pp. 727-745 ◽

Cited By ~ 44

Author(s):

Almoga Ilan ◽

Abraham Ungar ◽

Zipora Alterman

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes

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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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On the Construction of Combined Finite-Difference Schemes of High Accuracy

Doklady Mathematics ◽

10.1134/s1064562418010246 ◽

2018 ◽

Vol 97 (1) ◽

pp. 77-81 ◽

Cited By ~ 11

Author(s):

O. A. Kovyrkina ◽

V. V. Ostapenko

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Finite Difference Schemes

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Optimization based determination of highly absorbing boundary conditions for linear finite difference schemes

Journal of Sound and Vibration ◽

10.1016/j.jsv.2015.12.006 ◽

2016 ◽

Vol 365 ◽

pp. 45-69 ◽

Cited By ~ 6

Author(s):

A. Schirrer ◽

E. Talic ◽

G. Aschauer ◽

M. Kozek ◽

S. Jakubek

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Absorbing Boundary

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Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions

Computational and Applied Mathematics ◽

10.1007/s40314-017-0553-7 ◽

2017 ◽

Vol 37 (3) ◽

pp. 3906-3926 ◽

Cited By ~ 3

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Time Fractional Diffusion Equation

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INSTABILITY OF FINITE DIFFERENCE SCHEMES DUE TO BOUNDARY CONDITIONS IN ELASTIC MEDIA*

Geophysical Prospecting ◽

10.1111/j.1365-2478.1976.tb00947.x ◽

1976 ◽

Vol 24 (3) ◽

pp. 431-453 ◽

Cited By ~ 53

Author(s):

A. ILAN ◽

D. LOEWENTHAL

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Elastic Media

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Implicit high-accuracy finite-difference schemes for the “shock capturing” calculation of discontinuous solutions

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(75)90064-6 ◽

1975 ◽

Vol 15 (2) ◽

pp. 242-247

Author(s):

A.N. Minailos ◽

A.I. Tolstykh

Keyword(s):

Finite Difference ◽

High Accuracy ◽

Difference Schemes ◽

Shock Capturing ◽

Finite Difference Schemes ◽

Discontinuous Solutions

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