---

＜電子ブック＞
Numerical Methods in Computational Electrodynamics : Linear Systems in Practical Applications / by Ursula van Rienen
(Lecture Notes in Computational Science and Engineering. ISSN:21977100 ; 12)

版	1st ed. 2001.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2001
大きさ	XIII, 375 p. 122 illus., 91 illus. in color : online resource
著者標目	*Rienen, Ursula van author SpringerLink (Online service)
件　名	LCSH:Computer science LCSH:Electrodynamics LCSH:Engineering LCSH:Numerical analysis LCSH:Computational intelligence LCSH:Particle accelerators FREE:Theory of Computation FREE:Classical Electrodynamics FREE:Technology and Engineering FREE:Numerical Analysis FREE:Computational Intelligence FREE:Accelerator Physics
一般注記	1.Classical Electrodynamics -- 2. Numerical Field Theory -- 3. Numerical Treatment of Linear Systems -- 4. Applications from Electrical Engineering -- 5. Applications from Accelerator Physics -- Summary -- References -- Symbols treated in more detail. They are just specimen of larger classes of schemes. Es­ sentially, we have to distinguish between semi-analytical methods, discretiza­ tion methods, and lumped circuit models. The semi-analytical methods and the discretization methods start directly from Maxwell's equations. Semi-analytical methods are concentrated on the analytical level: They use a computer only to evaluate expressions and to solve resulting linear algebraic problems. The best known semi-analytical methods are the mode matching method, which is described in subsection 2. 1, the method of integral equations, and the method of moments. In the method of integral equations, the given boundary value problem is transformed into an integral equation with the aid of a suitable Greens' function. In the method of moments, which includes the mode matching method as a special case, the solution function is represented by a linear combination of appropriately weighted basis func­ tions. The treatment of complex geometrical structures is very difficult for these methods or only possible after geometric simplifications: In the method of integral equations, the Greens function has to satisfy the boundary condi­ tions. In the mode matching method, it must be possible to decompose the domain into subdomains in which the problem can be solved analytically, thus allowing to find the basis functions. Nevertheless, there are some ap­ plications for which the semi-analytic methods are the best suited solution methods. For example, an application from accelerator physics used the mode matching technique (see subsection 5. 4) HTTP:URL=https://doi.org/10.1007/978-3-642-56802-2

 類似資料