TUTORIAL ON CONTINUATION

被引：66

作者：

Seydel, R. ^{[1
]}

机构：

[1] Univ Ulm, Dept Numer Anal, D-7900 Ulm, Germany

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 01期

关键词：

D O I：

10.1142/S0218127491000026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A computational study of most nonlinear phenomena is based on equations that involve a parameter. Solutions to the equations vary with the parameter. An essential tool for generating such solutions is continuation. This paper presents a tutorial on continuation, and explains the principles of predictor-corrector methods.

引用

页码：3 / 11

页数：9

共 14 条

[1] SIMPLICIAL AND CONTINUATION METHODS FOR APPROXIMATING FIXED-POINTS AND SOLUTIONS TO SYSTEMS OF EQUATIONS
ALLGOWER, E
GEORG, K
[J]. SIAM REVIEW, 1980, 22 (01) : 28 - 85
[2] AN ALGORITHM FOR PIECEWISE-LINEAR APPROXIMATION OF AN IMPLICITY DEFINED MANIFOLD
ALLGOWER, EL
SCHMIDT, PH
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (02) : 322 - 346
[3] [Anonymous], 1977, APPL BIFURCATION THE
[4] [Anonymous], 2012, PRACTICAL NUMERICAL
[5] CHOW SN, 1978, MATH COMPUT, V32, P887, DOI 10.1090/S0025-5718-1978-0492046-9
[6] Doedel E., 1986, AUTO SOFTWARE CONTIN
[7] Rheinboldt W. C., 1990, P C LEUV 1989
[8] ON THE COMPUTATION OF MULTI-DIMENSIONAL SOLUTION MANIFOLDS OF PARAMETRIZED EQUATIONS
RHEINBOLDT, WC
[J]. NUMERISCHE MATHEMATIK, 1988, 53 (1-2) : 165 - 181
[9] A LOCALLY PARAMETERIZED CONTINUATION PROCESS
RHEINBOLDT, WC
BURKARDT, JV
[J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1983, 9 (02): : 215 - 235
[10] SCHWARZ H, 1989, NUMERICAL ANAL

← 1 2 →