Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations

Eleanor McDonald; Jennifer Pestana; Andy Wathen

doi:10.1137/16m1062016

Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/16m1062016 ◽

2018 ◽

Vol 40 (2) ◽

pp. A1012-A1033 ◽

Cited By ~ 17

Author(s):

Eleanor McDonald ◽

Jennifer Pestana ◽

Andy Wathen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Iterative Solution ◽

Partial Differential

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A stopping criterion for the iterative solution of partial differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2017.09.033 ◽

2018 ◽

Vol 352 ◽

pp. 265-284 ◽

Cited By ~ 1

Author(s):

Kaustubh Rao ◽

Paul Malan ◽

J. Blair Perot

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Iterative Solution ◽

Stopping Criterion ◽

Partial Differential

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An Iterative Solution Approach to Partial Differential Equations with Recursive Structure

SSRN Electronic Journal ◽

10.2139/ssrn.1895120 ◽

2011 ◽

Author(s):

Yuta Motoyama

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Iterative Solution ◽

Recursive Structure ◽

Partial Differential ◽

Solution Approach

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On iterative solution methods for systems of partial differential equations

Lecture Notes in Mathematics - Numerical Treatment of Differential Equations in Applications ◽

10.1007/bfb0067875 ◽

1978 ◽

pp. 151-163

Author(s):

H. J. Wirz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Iterative Solution ◽

Partial Differential ◽

Solution Methods ◽

Iterative Solution Methods

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Iterative solution of linear and nonlinear systems derived from elliptic partial differential equations

Computational Mechanics - Lecture Notes in Mathematics ◽

10.1007/bfb0074157 ◽

1975 ◽

pp. 265-296

Author(s):

David M. Young

Keyword(s):

Partial Differential Equations ◽

Nonlinear Systems ◽

Differential Equations ◽

Iterative Solution ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Linear And Nonlinear ◽

Linear And Nonlinear Systems

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Iterative solution of nonlinear partial differential equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/24/10/002 ◽

1991 ◽

Vol 24 (10) ◽

pp. L509-L512 ◽

Cited By ~ 4

Author(s):

R Blender

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Iterative Solution ◽

Partial Differential

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A study of iterative solution techniques for elliptic partial differential equations with particular reference to the reynolds equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(75)90004-3 ◽

1975 ◽

Vol 5 (3) ◽

pp. 309-328 ◽

Cited By ~ 5

Author(s):

A.G. Holmes ◽

C.M.M. Ettles

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reynolds Equation ◽

Iterative Solution ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Solution Techniques

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Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0705044 ◽

1968 ◽

Vol 5 (3) ◽

pp. 530-558 ◽

Cited By ~ 1229

Author(s):

Herbert L. Stone

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Iterative Solution ◽

Partial Differential

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Algorithm-based error-detection schemes for iterative solution of partial differential equations

IEEE Transactions on Computers ◽

10.1109/12.494098 ◽

1996 ◽

Vol 45 (4) ◽

pp. 394-407 ◽

Cited By ~ 12

Author(s):

A. Roy-Chowdhury ◽

N. Bellas ◽

P. Banerjee

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Detection ◽

Iterative Solution ◽

Partial Differential ◽

Detection Schemes

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Fast methods for the iterative solution of linear elliptic and parabolic partial differential equations involving 2 space dimensions

International Journal of Computer Mathematics ◽

10.1080/00207167808803150 ◽

1978 ◽

Vol 6 (4) ◽

pp. 335-358 ◽

Cited By ~ 8

Author(s):

D. J. Evans ◽

G. Avdelas

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Iterative Solution ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Fast Methods

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Partial Differential Equations

10.1017/9781108839808 ◽

2020 ◽

Author(s):

A. K. Nandakumaran ◽

P. S. Datti

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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