Modeling and Simulation in Science, Engineering and Technology: Solutions to Nonlinear Problems

Bellomo, Nicola; Lods, Bertrand; Revelli, Roberto; Ridolfi, Luca

This book examines various mathematical tools—based on generalized collocation methods—to solve nonlinear problems related to partial differential and integro-differential equations. Using a unified approach combining modeling, mathematical methods, and scientific computation, the book covers specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution.

Generalized Collocation Methods is written for an interdisciplinary audience of graduate students, engineers, scientists, and applied mathematicians with an interest in modeling real-world systems by differential or operator equations. The work 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.

Details

Published by: Birkhäuser

Publication Date: 2007-10-16

Format: Hardcover

ISBN-13: 9780817645250

DOI: 10.1007/978-0-8176-4610-3

Dimensions: 235cm x155cm

Pages: 196