On Difference Methods for Parabolic Equations and Alternating Direction Implicit Methods for Elliptic Equations

O. B. Widlund

doi:10.1147/rd.112.0239

On Difference Methods for Parabolic Equations and Alternating Direction Implicit Methods for Elliptic Equations

IBM Journal of Research and Development ◽

10.1147/rd.112.0239 ◽

1967 ◽

Vol 11 (2) ◽

pp. 239-243 ◽

Cited By ~ 5

Author(s):

O. B. Widlund

Keyword(s):

Parabolic Equations ◽

Elliptic Equations ◽

Implicit Methods ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods ◽

Difference Methods

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Alternating Direction Implicit Methods for Parabolic Equations with a Mixed Derivative

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0901007 ◽

1980 ◽

Vol 1 (1) ◽

pp. 131-159 ◽

Cited By ~ 54

Author(s):

Richard M. Beam ◽

R. F. Warming

Keyword(s):

Parabolic Equations ◽

Mixed Derivative ◽

Implicit Methods ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods

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Alternating Direction Implicit Methods

Advances in Computers Volume 3 - Advances in Computers ◽

10.1016/s0065-2458(08)60620-8 ◽

1962 ◽

pp. 189-273 ◽

Cited By ~ 61

Author(s):

Garrett Birkhoff ◽

Richard S. Varga ◽

David Young

Keyword(s):

Implicit Methods ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods

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Fast gain calibration in radio astronomy using alternating direction implicit methods: Analysis and applications

Astronomy and Astrophysics ◽

10.1051/0004-6361/201424487 ◽

2014 ◽

Vol 571 ◽

pp. A97 ◽

Cited By ~ 48

Author(s):

Stefano Salvini ◽

Stefan J. Wijnholds

Keyword(s):

Radio Astronomy ◽

Implicit Methods ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods

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The use of alternating direction implicit methods to model diffusion phenomena in elliptic products

Journal of Food Engineering ◽

10.1016/0260-8774(93)90040-q ◽

1993 ◽

Vol 19 (2) ◽

pp. 159-170 ◽

Cited By ~ 7

Author(s):

C. De Elvira

Keyword(s):

Implicit Methods ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Diffusion Phenomena ◽

Alternating Direction Implicit Methods ◽

Model Diffusion

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Solving the Four-dimensional Laplace's Equation by Using Extrapolated Alternating Direction Implicit Methods

IMA Journal of Applied Mathematics ◽

10.1093/imamat/6.3.232 ◽

1970 ◽

Vol 6 (3) ◽

pp. 232-240 ◽

Cited By ~ 1

Author(s):

APOSTOLOS HADJIDIMOS

Keyword(s):

Laplace’S Equation ◽

Implicit Methods ◽

Laplace's Equation ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods

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Tensor Product Analysis of Alternating Direction Implicit Methods

Journal of the Society for Industrial and Applied Mathematics ◽

10.1137/0113067 ◽

1965 ◽

Vol 13 (4) ◽

pp. 995-1006 ◽

Cited By ~ 11

Author(s):

Robert E. Lynch ◽

John R. Rice ◽

Donald H. Thomas

Keyword(s):

Tensor Product ◽

Implicit Methods ◽

Product Analysis ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods

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Alternating direction implicit methods for two-dimensional diffusion with a non-local boundary condition

International Journal of Computer Mathematics ◽

10.1080/00207169908804858 ◽

1999 ◽

Vol 72 (3) ◽

pp. 349-366 ◽

Cited By ~ 25

Author(s):

M. Dehghan

Keyword(s):

Boundary Condition ◽

Two Dimensional ◽

Implicit Methods ◽

Alternating Direction Implicit ◽

Local Boundary ◽

Dimensional Diffusion ◽

Alternating Direction ◽

Local Boundary Condition ◽

Non Local ◽

Alternating Direction Implicit Methods

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Solving Laplace's equation in a rectangle by alternating direction implicit methods

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(74)90165-6 ◽

1974 ◽

Vol 48 (2) ◽

pp. 353-367 ◽

Cited By ~ 9

Author(s):

Apostolos Hadjidimos ◽

Kosmas Iordanidis

Keyword(s):

Laplace’S Equation ◽

Implicit Methods ◽

Laplace's Equation ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods

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New high accuracy super stable alternating direction implicit methods for two and three dimensional hyperbolic damped wave equations

Results in Physics ◽

10.1016/j.rinp.2014.08.009 ◽

2014 ◽

Vol 4 ◽

pp. 156-163 ◽

Cited By ~ 2

Author(s):

R.K. Mohanty

Keyword(s):

Wave Equations ◽

Three Dimensional ◽

High Accuracy ◽

Implicit Methods ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Methods

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Efficiency of Semi-Implicit Alternating Direction Implicit Methods for Solving Cardiac Monodomain Model

Computers in Biology and Medicine ◽

10.1016/j.compbiomed.2020.104187 ◽

2020 ◽

pp. 104187

Author(s):

Youssef Belhamadia ◽

Zeinab Rammal

Keyword(s):

Implicit Methods ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Monodomain Model ◽

Alternating Direction Implicit Methods

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