Generalized Collocation Methods von Nicola Bellomo | Solutions to Nonlinear Problems | ISBN 9780817646103

Generalized Collocation Methods

Solutions to Nonlinear Problems

von Nicola Bellomo, Bertrand Lods, Roberto Revelli und Luca Ridolfi
Mitwirkende
Autor / AutorinNicola Bellomo
Autor / AutorinBertrand Lods
Autor / AutorinRoberto Revelli
Autor / AutorinLuca Ridolfi
Buchcover Generalized Collocation Methods | Nicola Bellomo | EAN 9780817646103 | ISBN 0-8176-4610-8 | ISBN 978-0-8176-4610-3

From the reviews:

„This book is concerned with the solution of initial-boundary partial differential equations using the generalised collocation method. Most of the book describes examples of how the method works for a range of examples. It is aimed primarily at engineering students. The book starts by looking at general considerations of mathematical modelling and discusses dimensional analysis.“ (Kenneth Wright, Mathematical Reviews, Issue 2008 g)

„This textbook is intended for undergraduate engineering students who wish to learn about mathematical modeling, along with the use of collocation methods for nonlinear evolutionary problems. … The method of lines obtained from collocation is solved by a Mathematica routine. The book contains an appendix giving several Mathematica programs for problems … .“ (Gerald W. Hedstrom, Zentralblatt MATH, Vol. 1135 (13), 2008)

“The book has been written primarily for scientists, engineers, and university students with a good knowledge of basic mathematics and differential equations at an elementary level who are interested in the application of mathematics to problems from application fields. The aim is to offer an easy-to-use handbook for the Mathematica implementation of the collocation method for the problem at hand. For that purpose a nice selection of example problems is discussed, accompanied by Mathematica software…The material is well presented in a pleasant and easily readable style and covers a substantial number of topics. Potential readers, in particular university students interested in applying mathematics who wish to become acquainted with the enormous power of scientific computing, are advised to read this well-written textbook, certainly if they already possess Mathematica skills.” (SIAM Review)

Generalized Collocation Methods

Solutions to Nonlinear Problems

von Nicola Bellomo, Bertrand Lods, Roberto Revelli und Luca Ridolfi
Mitwirkende
Autor / AutorinNicola Bellomo
Autor / AutorinBertrand Lods
Autor / AutorinRoberto Revelli
Autor / AutorinLuca Ridolfi
Examples and exercises are included in every chapter Scientific packages, such as Mathematica®, Maple, and MATLAB®, may be easily incorporated as problem-solving tools for material presented in the work Real-world applications to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution Includes supplementary material: sn. pub/extras