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Generalized Collocation Methods: Solutions to Nonlinear Problems

Nicola Bellomo
Bertrand Lods
Roberto Revelli
Luca Ridolfi
Book information

Publisher: Birkhäuser (Boston, MA)
Copyright year: 2008
ISBN: 9780817645250
Medium: Hardcover
Pages: 194
Out of print?: N
Additional cataloguing information: From the series Modeling and Simulation in Science, Engineering and Technology; Nicola Bellomo, ed.
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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 | Appendix: Scientific Programs

This book examines various mathematical tools--based on generalized collocation methods--to solve nonlinear problems related to partial differential and integrodifferential equations. Covered are specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convention and diffusion, transport phenomena, and pollution.

The volume is written for an interdisciplinary audience: graduate students, engineers, scientists, and applied mathematicians interested in modeling real-world systems by differential or operator equations. It may be used as a supplementary textbook in graduate courses on modeling and nonlinear differential equations, or as a self-study handbook for researchers and practitioners wishing to expand their knowledge of practical solution techniques for nonlinear problems.

*Applied Mathematics > Complex Systems
*Education > Graduate
*Mathematics > Calculus and Analysis > Differential Equations
*Mathematics > Calculus and Analysis > Dynamical Systems
*Science > Physics > Thermodynamics and Statistical Mechanics
*Science > Physics > Wave Motion

collocation methods, differential equations, integro-differential equations, operator equations, nonlinear problems, mathematical modeling, simulation, traffic flow, population dynamics, wave phenomena, heat convection, diffusion, transport phenomena, pollution, initial value problems, initial-boundary value problems, initial conditions, boundary conditions, unspecified conditions, overspecified conditions, interpolation, KdV Model, Korteweg-deVries, Dirichlet, Neumann, Robin, Cauchy, Lagrange, sinc functions, two space dimensions, orthogonal approximation