Generalized collocation methods : solutions to nonlinear problems
Author(s)
Bibliographic Information
Generalized collocation methods : solutions to nonlinear problems
(Modeling and simulation in science, engineering & technology)
Birkhäuser, c2008
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Other authers: Bertrand Lods, Roberto Revelli, Luca Ridolfi
Description and Table of Contents
Description
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.
Table of Contents
Mathematical Models and Problems in Applied Sciences.- Lagrange and Sinc Collocation Interpolation Methods.- Nonlinear Initial Value Problems in Unbounded Domains.- Nonlinear Initial-Boundary Value Problems in One Space Dimension.- Initial-Boundary Value Problems in Two Space Dimensions.- Additional Mathematical Tools for Nonlinear Problems.
by "Nielsen BookData"