Geometric integration: numerical solution of differential equations on manifolds

被引：95

作者：

Budd, CJ

Iserles, A

机构：

[1] Univ Bath, Dept Math Sci, Bath BA4 1AY, Avon, England

[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1999年 / 357卷 / 1754期

关键词：

D O I：

10.1098/rsta.1999.0360

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

页码：945 / 956

页数：12

共 25 条

[1]

[Anonymous], 1994, CRC HDB LIE GROUP AN

[2]

[Anonymous], FUNK ANAL PRILOZHEN

[3]

Barenblatt GI., 1996, Scaling, self-similarity, and intermediate asymptotics, DOI 10.1017/CBO9781107050242

[4] NUMERICAL-METHODS FOR SCIENTISTS AND ENGINEERS - HAMMING,RW [J].

BARNETT, VD .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-GENERAL, 1962, 125 (04) :642-643

[5]

BUDD C, 1998, 9809 U BATH DEP MATH

[6] Moving mesh methods for problems with blow-up [J].

Budd, CJ ;

Huang, WH ;

Russell, RD .

[7]

BUDD CJ, 1996, PITMAN RES NOTES MAT, V344, P1

[8]

CALVO MP, 1996, NUMERICAL ANAL AR MI, P57

CROUCH, PE ;

GROSSMAN, R .

[10]

DORODNITSYN VA, 1993, MODERN GROUP ANALYSIS: ADVANCED ANALYTICAL AND COMPUTATIONAL METHODS IN MATHEMATICAL PHYSICS, P191