Bifurcation Problems And Their Numerical Solution

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Bifurcation Problems And Their Numerical Solution

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Author : H. D. Mittelmann
language : de
Publisher: Springer-Verlag
Release Date : 2013-11-21

Bifurcation Problems And Their Numerical Solution written by H. D. Mittelmann and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Science categories.

Bifurcation Problems And Their Numerical Solution

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Author : H. D. Mittelmann
language : de
Publisher: Birkhäuser
Release Date : 1980-01-01

Bifurcation Problems And Their Numerical Solution written by H. D. Mittelmann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Science categories.

Bifurcation Problems And Their Numerical Solution

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Author : Hans Detlef Mittelmann
language : fr
Publisher:
Release Date : 1980

Bifurcation Problems And Their Numerical Solution written by Hans Detlef Mittelmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

Bifurcation Problems And Their Numerical Solution

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Author : H. D. Mittelmann
language : en
Publisher: Birkhauser
Release Date : 1980

Bifurcation Problems And Their Numerical Solution written by H. D. Mittelmann and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

Numerical Methods For Bifurcation Problems And Large Scale Dynamical Systems

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Author : Eusebius Doedel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Numerical Methods For Bifurcation Problems And Large Scale Dynamical Systems written by Eusebius Doedel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The Institute for Mathematics and its Applications (IMA) devoted its 1997-1998 program to Emerging Applications of Dynamical Systems. Dynamical systems theory and related numerical algorithms provide powerful tools for studying the solution behavior of differential equations and mappings. In the past 25 years computational methods have been developed for calculating fixed points, limit cycles, and bifurcation points. A remaining challenge is to develop robust methods for calculating more complicated objects, such as higher- codimension bifurcations of fixed points, periodic orbits, and connecting orbits, as well as the calcuation of invariant manifolds. Another challenge is to extend the applicability of algorithms to the very large systems that result from discretizing partial differential equations. Even the calculation of steady states and their linear stability can be prohibitively expensive for large systems (e.g. 10_3- -10_6 equations) if attempted by simple direct methods. Several of the papers in this volume treat computational methods for low and high dimensional systems and, in some cases, their incorporation into software packages. A few papers treat fundamental theoretical problems, including smooth factorization of matrices, self -organized criticality, and unfolding of singular heteroclinic cycles. Other papers treat applications of dynamical systems computations in various scientific fields, such as biology, chemical engineering, fluid mechanics, and mechanical engineering.

Numerical Methods For Bifurcation Problems

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Author : KÜPPER
language : de
Publisher: Springer-Verlag
Release Date : 2013-11-27

Numerical Methods For Bifurcation Problems written by KÜPPER and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.

Numerical Continuation And Bifurcation In Nonlinear Pdes

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Author : Hannes Uecker
language : en
Publisher: SIAM
Release Date : 2021-08-19

Numerical Continuation And Bifurcation In Nonlinear Pdes written by Hannes Uecker and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-19 with Mathematics categories.

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 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. After a concise review of some analytical background and numerical methods, the author explains the free MATLAB package pde2path by using a large variety of examples with demo codes that can be easily adapted to the reader's given problem. Numerical Continuation and Bifurcation in Nonlinear PDEs will appeal 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 can be used as a supplemental text in courses on nonlinear PDEs and modeling and bifurcation.

Lectures On Numerical Methods In Bifurcation Problems

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Author : Herbert Bishop Keller
language : en
Publisher: Springer
Release Date : 1987

Lectures On Numerical Methods In Bifurcation Problems written by Herbert Bishop Keller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

Numerical Methods For Bifurcation Problems

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Author : T. Kupper
language : en
Publisher:
Release Date : 1984-07-01

Numerical Methods For Bifurcation Problems written by T. Kupper and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-07-01 with categories.

Continuation And Bifurcations Numerical Techniques And Applications

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Author : Dirk Roose
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Continuation And Bifurcations Numerical Techniques And Applications written by Dirk Roose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989