Numerical continuation of bifurcation in nonlinear PDEs

By:

Uecker, Hannes

Series: Other Titles in Applied Mathematics ; Vol. 174Publication details: Philadelphia: Society for Industrial and Applied Mathematics (SIAM), 2021.Description: xvi, 364p. col. ill.; pbk.: 25 cmISBN:

9781611976601

Subject(s):

DDC classification:

515.353 UEC

Summary: 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. Numerical Continuation and Bifurcation in Nonlinear PDEs provides a concise review of some analytical background and numerical methods, explains the free MATLAB package pde2path by using a large variety of examples, and contains demo codes that can be easily adapted to the reader's given problem. This book 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. https://epubs.siam.org/doi/10.1137/1.9781611976618#:~:text=PDEs%20usually%20come%20with%20parameters,values%2C%20new%20branches%20may%20bifurcate.

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Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	515.353 UEC (Browse shelf(Opens below))	1	Available	034420

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Previous	515.353 TOL Partial differential equations: an unhurried introduction	515.353 TRE Basic linear partial differential equations	515.353 TVE Introduction to partial differential equations: a computational approach	515.353 UEC Numerical continuation of bifurcation in nonlinear PDEs	515.353 VAS Partial differential equations: an accessible route through theory and applications	515.353 WLO Partial differential equations	515.353028553 GAN Numerical analysis of partial differential equations using Maple and MATLAB	Next

Includes bibliography and index

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.

Numerical Continuation and Bifurcation in Nonlinear PDEs

provides a concise review of some analytical background and numerical methods,

explains the free MATLAB package pde2path by using a large variety of examples, and

contains demo codes that can be easily adapted to the reader's given problem.

This book 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.

https://epubs.siam.org/doi/10.1137/1.9781611976618#:~:text=PDEs%20usually%20come%20with%20parameters,values%2C%20new%20branches%20may%20bifurcate.

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