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Generalized Collocation Methods: Solutions to Nonlinear Problems (Modeling and Simulation in Science, Engineering and Technology)
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ISBN
:
9780817645250
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Publisher
:
Birkhýuser
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Subject
:
Mathematics, Science: General Issues, Physics
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Binding
:
HARDCOVER
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Pages
:
208
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Year
:
2007
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7676.0
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7368.0
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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.
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