Generalized collocation methods : solutions to nonlinear problems

Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include...

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Bibliographic Details
Main Authors: Lods, Bertrand, Revelli, Roberto, Ridolfi, Luca, Bellomo, N.
Format: Book
Language:English
Published: Springer 2017
Subjects:
515
Online Access:http://repository.vnu.edu.vn/handle/VNU_123/31762
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Institution: Vietnam National University, Hanoi
Language: English
Description
Summary:Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include wave motion models, hydrodynamic models of vehicular traffic flow, convection-diffusion models, reaction-diffusion models, and population dynamics models. The book may be used as a textbook for graduate courses on collocation methods, nonlinear modeling, and nonlinear differential equations. Examples and exercises are included in every chapter.