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Numerical Continuation and Bifurcation in Nonlinear PDEs
Language: en
Pages: 380
Authors: Hannes Uecker
Categories: Mathematics
Type: BOOK - Published: 2021-08-19 - Publisher: SIAM

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This book provides a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs in 1D, 2D, and 3D. Partial differential equations (PDEs) are
Numerical Continuation Methods for Dynamical Systems
Language: en
Pages: 411
Authors: Bernd Krauskopf
Categories: Science
Type: BOOK - Published: 2007-11-06 - Publisher: Springer

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Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theor
Numerical Methods for Bifurcations of Dynamical Equilibria
Language: en
Pages: 384
Authors: Willy J. F. Govaerts
Categories: Mathematics
Type: BOOK - Published: 2000-01-01 - Publisher: SIAM

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Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and con
Nonlinear PDEs
Language: en
Pages: 593
Authors: Guido Schneider
Categories: Mathematics
Type: BOOK - Published: 2017-10-26 - Publisher: American Mathematical Soc.

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This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is
Elements of Applied Bifurcation Theory
Language: en
Pages: 648
Authors: Yuri Kuznetsov
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular p
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