A comparative study of Chebyshev acceleration and residue smoothing in the solution of nonlinear elliptic difference equations

Numerical Methods for Ordinary Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0089232 ◽

1989 ◽

pp. 69-96

Author(s):

P. J. Van der Houwen ◽

B. P. Sommeijer ◽

G. Pontrelli

Keyword(s):

Comparative Study ◽

Difference Equations ◽

Elliptic Difference ◽

Nonlinear Elliptic

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Alternating direction iteration for mildly nonlinear elliptic difference equations

Numerische Mathematik ◽

10.1007/bf01386006 ◽

1961 ◽

Vol 3 (1) ◽

pp. 92-98 ◽

Cited By ~ 39

Author(s):

Jim Douglas

Keyword(s):

Difference Equations ◽

Elliptic Difference ◽

Nonlinear Elliptic ◽

Alternating Direction ◽

Direction Iteration

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On the two-stage iterative method of Douglas for mildly nonlinear elliptic difference equations

Numerische Mathematik ◽

10.1007/bf01386072 ◽

1964 ◽

Vol 6 (1) ◽

pp. 243-249 ◽

Cited By ~ 9

Author(s):

James E. Gunn

Keyword(s):

Iterative Method ◽

Difference Equations ◽

Two Stage ◽

Elliptic Difference ◽

Nonlinear Elliptic

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Dirichlet problems for mildly nonlinear elliptic difference equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(69)90053-5 ◽

1969 ◽

Vol 27 (2) ◽

pp. 338-366 ◽

Cited By ~ 5

Author(s):

G.T McAllister

Keyword(s):

Difference Equations ◽

Dirichlet Problems ◽

Elliptic Difference ◽

Nonlinear Elliptic

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A correction to my paper “Alternating Direction Iteration for Mildly Nonlinear Elliptic Difference Equations”

Numerische Mathematik ◽

10.1007/bf01386322 ◽

1962 ◽

Vol 4 (1) ◽

pp. 301-302 ◽

Cited By ~ 2

Author(s):

Jim Douglas

Keyword(s):

Difference Equations ◽

Elliptic Difference ◽

Nonlinear Elliptic ◽

Alternating Direction ◽

Direction Iteration

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Use of fast direct methods for mildly nonlinear elliptic difference equations

CALCOLO ◽

10.1007/bf02575766 ◽

1982 ◽

Vol 19 (4) ◽

pp. 365-378 ◽

Cited By ~ 1

Author(s):

A. Murli ◽

M. A. Pirozzi

Keyword(s):

Difference Equations ◽

Direct Methods ◽

Elliptic Difference ◽

Nonlinear Elliptic

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Defect correction for nonlinear elliptic difference equations

Numerische Mathematik ◽

10.1007/bf01396749 ◽

1987 ◽

Vol 51 (2) ◽

pp. 199-208 ◽

Cited By ~ 6

Author(s):

Winfried Auzinger

Keyword(s):

Difference Equations ◽

Defect Correction ◽

Elliptic Difference ◽

Nonlinear Elliptic

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Numerical realization of one class of nonlinear elliptic difference equations

Journal of Soviet Mathematics ◽

10.1007/bf01097075 ◽

1988 ◽

Vol 41 (6) ◽

pp. 1441-1443

Author(s):

Yu. B. Smirnov

Keyword(s):

Difference Equations ◽

Numerical Realization ◽

Elliptic Difference ◽

Nonlinear Elliptic

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Iterative solution of elliptic difference equations using fast direct methods

10.1145/1480083.1480175 ◽

1972 ◽

Author(s):

Paul Concus

Keyword(s):

Difference Equations ◽

Direct Methods ◽

Iterative Solution ◽

Elliptic Difference

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Iterative vs. a direct method for solving fourth order elliptic difference equations

Communications of the ACM ◽

10.1145/365719.366373 ◽

1966 ◽

Vol 9 (7) ◽

pp. 475

Author(s):

Louis W. Ehrlich

Keyword(s):

Fourth Order ◽

Difference Equations ◽

Direct Method ◽

Elliptic Difference ◽

A Direct Method

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A fast multi-resolution lattice Green's function method for elliptic difference equations

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109270 ◽

2020 ◽

Vol 407 ◽

pp. 109270 ◽

Cited By ~ 2

Author(s):

Benedikt Dorschner ◽

Ke Yu ◽

Gianmarco Mengaldo ◽

Tim Colonius

Keyword(s):

Green’S Function ◽

Green's Function ◽

Difference Equations ◽

Function Method ◽

Green’S Function Method ◽

Elliptic Difference ◽

Lattice Green's Function ◽

Lattice Green’S Function

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