Numerical methods for solving boundary value problems have developed rapidly. Knowledge of these methods is important both for engineers and scientists. There are many books published that deal with various approximate methods such as the finite element method, the boundary element method and so on. However, there is no textbook that includes all of these methods. This book is intended to fill this gap. The book is designed to be suitable for graduate students in engineering science, for senior undergraduate students as well as for scientists and engineers who are interested in electromagnetic fields. Objective Numerical calculation is the combination of mathematical methods and field theory. A great number of mathematical concepts, principles and techniques are discussed and many computational techniques are considered in dealing with practical problems. The purpose of this book is to provide students with a solid background in numerical analysis of the field problems. The book emphasizes the basic theories and universal principles of different numerical methods and describes why and how different methods work. Readers will then understand any methods which have not been introduced and will be able to develop their own new methods. Organization Many of the most important numerical methods are covered in this book. All of these are discussed and compared with each other so that the reader has a clear picture of their particular advantage, disadvantage and the relation between each of them. The book is divided into four parts and twelve chapters.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This book includes almost all of the commonly used numerical methods for analysing boundary value problems involving electromagnetic fields. These methods are catalogued into domain methods and boundary methods, based on onthe dif- ferential and integral equations, respectively. All these methods are analysed in terms of general concepts by using the weighted residual principle and the principle of varia- tions. The reader isshown the theoretical basis of each method, its advantages and disadvantagesand the rela- tionship between the different methods, so that practical problems may be solved effectively and new methods suitable for specific problems may be created. Examples and compu- ter programs are provided to illustrate the principles, methods and applications. Both the "how" and "why" of the methods are explained clearly.The contents are approached step by step to facilitate understanding. Based on the ana- lysis of electromagnetic fields, the optimization of the design of electromagnetic devices is introduced in the last two chapters.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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