METHODS OF CYCLIC REDUCTION, FOURIER-ANALYSIS AND FACR ALGORITHM FOR DISCRETE SOLUTION OF POISSONS EQUATION ON A RECTANGLE

被引：243

作者：

SWARZTRAUBER, PN ^{[1
]}

机构：

[1] NATL CTR ATMOSPH RES,BOULDER,CO 80302

来源：

SIAM REVIEW | 1977年 / 19卷 / 03期

关键词：

D O I：

10.1137/1019071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：490 / 501

页数：12

共 19 条

[1]

BANK R, 1975, THESIS HARVARD U

[2] O(N2) METHOD FOR SOLVING CONSTANT COEFFICIENT BOUNDARY-VALUE PROBLEMS IN 2 DIMENSIONS [J].

BANK, RE ;

ROSE, DJ .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1975, 12 (04) :529-540

[3]

Brigham E. O., 1974, FAST FOURIER TRANSFO

[4]

BUNEMAN O, 1969, 294 STANF U I PLASM

[5] DIRECT METHODS FOR SOLVING POISSONS EQUATIONS [J].

BUZBEE, BL ;

GOLUB, GH ;

NIELSON, CW .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (04) :627-&

[6] DIRECT SOLUTION OF BIHARMONIC EQUATION ON RECTANGULAR REGIONS AND POISSON EQUATION ON IRREGULAR REGIONS [J].

BUZBEE, BL ;

DORR, FW .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (04) :753-763

[7] DIRECT SOLUTION OF DISCRETE POISSON EQUATION ON IRREGULAR REGIONS [J].

BUZBEE, BL ;

DORR, FW ;

GEORGE, JA ;

GOLUB, GH .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (04) :722-&

[8] USE OF FAST DIRECT METHODS FOR EFFICIENT NUMERICAL-SOLUTION OF NONSEPARABLE ELLIPTIC EQUATIONS [J].

CONCUS, P ;

GOLUB, GH .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (06) :1103-1119

[9] FAST FOURIER TRANSFORM ALGORITHM - PROGRAMMING CONSIDERATIONS IN CALCULATION OF SINE, COSINE AND LAPLACE TRANSFORMS [J].

COOLEY, JW ;

LEWIS, PAW ;

WELCH, PD .

JOURNAL OF SOUND AND VIBRATION, 1970, 12 (03) :315-+

[10] DIRECT SOLUTION OF DISCRETE POISSON EQUATION ON A RECTANGLE [J].

DORR, FW .

SIAM REVIEW, 1970, 12 (02) :248-&

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