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A continuation–domain decomposition algorithm for bifurcation problems (1999)

Chien, C.-S. ; Chou, H.-S. ; Jeng, B.-W.

Springer

Numerical algorithms 22 (1999), S. 367-383

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ISSN: 1572-9265

Keywords: bifurcation problems ; continuation methods ; domain decomposition methods ; finite differences ; 65N06 ; 65F10 ; 65F15

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract We study numerical solution branches of certain parameter-dependent problems defined on compact domains with various boundary conditions. The finite differences combined with the domain decomposition method are exploited to discretize the partial differential equations. We propose efficient numerical algorithms for solving the associated linear systems and for the detection of bifurcation points. Sample numerical results are reported.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1019119126672

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