Generalized Collocation Methods


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Generalized Collocation Methods


Generalized Collocation Methods

Author: Nicola Bellomo

language: en

Publisher: Springer Science & Business Media

Release Date: 2007-10-16


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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.

Generalized Multipole Techniques for Electromagnetic and Light Scattering


Generalized Multipole Techniques for Electromagnetic and Light Scattering

Author: T. Wriedt

language: en

Publisher: Elsevier

Release Date: 1999-12-01


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This book is an edited volume of nine papers covering the different variants of the generalized multipole techniques (GMT). The papers were presented at the recent 3rd Workshop on Electromagnetics and Light Scattering - Theory and Applications, which focused on current GMT methods. These include the multiple multipole method (MMP), the discrete sources method (DSM), Yasuura's method, method of auxiliary sources and null-field method with discrete sources. Each paper presents a full theoretical description as well as some applications of the method in electrical engineering and optics. It also includes both 2D and 3D methods and other applications developed in the former Soviet Union and Japan.

Spectral and High Order Methods for Partial Differential Equations


Spectral and High Order Methods for Partial Differential Equations

Author: Jan S. Hesthaven

language: en

Publisher: Springer Science & Business Media

Release Date: 2010-10-29


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The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.