Generalized Collocation Methods Solutions to Nonlinear Problems /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bellomo, Nicola (Editor), Lods, Bertrand (Editor), Revelli, Roberto (Editor), Ridolfi, Luca (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2008.
• Series: Modeling and Simulation In Science, Engineering and Technology
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Mathematical models.; Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Mathematical Modeling and Industrial Mathematics.; Computational Science and Engineering.; Ordinary Differential Equations.

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

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.