Numerical continuation and bifurcation in nonlinear PDEs /

Numerical continuation and bifurcation in nonlinear PDEs /

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Bibliographic Details
Author / Creator:	Uecker, Hannes, 1970- author.
Imprint:	Philadelphia : Society for Industrial and Applied Mathematics, [2021]
Description:	1 online resource.
Language:	English
Series:	Other titles in applied mathematics; 174
Subject:	Differential equations, Nonlinear -- Numerical solutions. Differential equations, Nonlinear -- Numerical solutions.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12630796

Hidden Bibliographic Details
ISBN:	9781611976618 1611976618 9781611976601
Notes:	Includes bibliographical references and index. Description based on print version record and CIP data provided by publisher; resource not viewed.
Summary:	"This book presents a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs"--
Other form:	Print version: Uecker, Hannes, 1970- Numerical continuation and bifurcation in nonlinear PDEs Philadelphia : Society for Industrial and Applied Mathematics, [2021] 9781611976601

Table of Contents:

Getting started
Liapunov-Schmidt reduction and local bifurcations
Numerics for continuation and bifurcation
Finite elements
Setup and overview of pde2path
Allen-Cahn equations as model problems
Examples of Hopf bifurcations
Pattern formation in 4th order equations
Reaction-diffusion systems
Problems on curved surfaces
Applications in optimal control
Appendix A. pde2path organization.