Numerical continuation of the solution at bifurcation points of mathematical models

被引：0

作者：

Krasnikov S.D. ^{[1
]}

Kuznetsov E.B. ^{[1
]}

机构：

[1] Moscow Aviation Institute, Volokolamskoe sh. 4, Moscow

来源：

Mathematical Models and Computer Simulations | 2010年 / 2卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

Singular Point; Jacobian Matrix; Bifurcation Point; Hessian Matrix; Shooting Method;

D O I：

10.1134/S2070048210040071

中图分类号：

学科分类号：

摘要：

A problem of numerical continuation of the solution set for a system of nonlinear algebraic or transcendental equations with a parameter at some singular points of a curve is considered. © 2010, Pleiades Publishing, Ltd.

引用

页码：482 / 492

页数：10

共 50 条

[1] SOLUTION OF BORDERED SINGULAR SYSTEMS IN NUMERICAL CONTINUATION AND BIFURCATION
GOVAERTS, W
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 50 (1-3) : 339 - 347
[2] Numerical continuation at double bifurcation points of a reaction-diffusion problem
Chien, CS
Mei, Z
Shen, CL
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (01): : 117 - 139
[3] Numerical continuation of solution at singular points of codimension one
Krasnikov, S. D.
Kuznetsov, E. B.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2015, 55 (11) : 1802 - 1822
[4] Numerical continuation of solution at singular points of codimension one
S. D. Krasnikov
E. B. Kuznetsov
Computational Mathematics and Mathematical Physics, 2015, 55 : 1802 - 1822
[5] Numerical solution for the nonlinear eigenvalue problems in bifurcation points
Tabatabaei, S. Amir Hossein A. E.
Malek, Alaeddin
Shakour, Elham
APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (02) : 397 - 401
[6] CONTINUATION OF NEWTONS METHOD THROUGH BIFURCATION POINTS
THURSTON, GA
MECHANICAL ENGINEERING, 1969, 91 (11) : 75 - &
[7] CONTINUATION OF NEWTONS METHOD THROUGH BIFURCATION POINTS
THURSTON, GA
JOURNAL OF APPLIED MECHANICS, 1969, 36 (03): : 425 - &
[8] Numerical Strategies for Detection of Bifurcation Points in the Parametric Continuation of Model Reactors with Detailed Chemical Mechanisms
Acampora, Luigi
Marra, Francesco Saverio
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2017 (ICCMSE-2017), 2017, 1906
[9] Numerical tools to compute solution branches and bifurcation points in fluid mechanics
Cadou, JM
Cochelin, B
Potier-Ferry, M
CONTINUATION METHODS IN FLUID DYNAMICS, 2000, 74 : 45 - 55
[10] DISCUSSION OF CONTINUATION OF NEWTONS METHOD THROUGH BIFURCATION POINTS
SCHMIDT, R
DADEPPO, DA
JOURNAL OF APPLIED MECHANICS, 1970, 37 (01): : 247 - &

← 1 2 3 4 5 →