Numerical Continuation and Bifurcation in Nonlinear PDEs (Other Titles in Applied Mathematics) - Softcover

Uecker, Hannes

 
9781611976601: Numerical Continuation and Bifurcation in Nonlinear PDEs (Other Titles in Applied Mathematics)
Softcover
ISBN 10: 161197660X ISBN 13: 9781611976601
Verlag: Society for Industrial & Applied Mathematics,U.S., 2021

Inhaltsangabe

Partial differential equations (PDEs) are the main tool to describe spatially and temporally extended systems in nature. PDEs usually come with parameters, and the study of the parameter dependence of their solutions is an important task. Letting one parameter vary typically yields a branch of solutions, and at special parameter values, new branches may bifurcate.

Numerical Continuation and Bifurcation in Nonlinear PDEs:

  • Presents hands-on approach to numerical continuation and bifurcation for nonlinear PDEs, in 1D, 2D and 3D.
  • ,Provides a concise but sound review of analytical background and numerical methods.
  • Explains the use of the free MATLAB package pde2path via a large variety of examples with ready to use code.
  • Contains demo codes that can be easily adapted to the reader's given problem.


This book will be of interest to applied mathematicians and scientists from physics, chemistry, biology, and economics interested in the numerical solution of nonlinear PDEs, particularly the parameter dependence of solutions. It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory.

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Über die Autorin bzw. den Autor

Hannes Uecker has worked at the University of Maryland in College Park, University of Karlsruhe, University of Stuttgart, and, since 2007, the Carl von Ossietzky Universität Oldenburg. His research interests are in analysis and numerics for nonlinear PDEs. Since 2011, he has been involved in the development of the numerical continuation and bifurcation package pde2path. He is the author of one previous book and 70 research papers in applied math. ??

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Verlag
Society for Industrial & Applied Mathematics,U.S.
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
161197660X
ISBN 13 
9781611976601
Einband
Tapa blanda
Anzahl der Seiten
364
Kontakt zum Hersteller
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Verantwortliche Person
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