Generalized collocation methods : solutions to nonlinear problems

• Main Authors: Lods, Bertrand, Revelli, Roberto, Ridolfi, Luca, Bellomo, N.
• Format: Book
• Language: English
• Published: Springer 2017
• Subjects: Collocation methods; Nonlinear theories; 515
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/31762
• Institution: Vietnam National University, Hanoi

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.