Generalized collocation methods : solutions to nonlinear problems
著者
書誌事項
Generalized collocation methods : solutions to nonlinear problems
（Modeling and simulation in science, engineering & technology）
Birkhäuser, c2008
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注記
Other authers: Bertrand Lods, Roberto Revelli, Luca Ridolfi
内容説明・目次
内容説明
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.
目次
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.
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