Numerical Continuation and Bifurcation in Nonlinear PDEs - Brossura

Hannes Uecker (author)

 
9781611976601: Numerical Continuation and Bifurcation in Nonlinear PDEs
Brossura
ISBN 10: 161197660X ISBN 13: 9781611976601
Casa editrice: SIAM - Society for Industrial and Applied Mathematics, 2021

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
SIAM - Society for Industrial and Applied Mathematics
Data di pubblicazione
2021
Lingua
Inglese
ISBN 10 
161197660X
ISBN 13 
9781611976601
Rilegatura
Copertina flessibile
Numero di pagine
364
Contatto del produttore
non disponibile
Persona responsabile
non disponibile