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140122  eng 
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a 9783642568022

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1 

a Rienen, Ursula van

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a Numerical Methods in Computational Electrodynamics
h Elektronische Ressource
b Linear Systems in Practical Applications
c by Ursula van Rienen

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a 1st ed. 2001

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a Berlin, Heidelberg
b Springer Berlin Heidelberg
c 2001, 2001

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a XIII, 375 p. 122 illus., 91 illus. in color
b online resource

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a 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

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a Electrodynamics

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a Engineering

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a Computational intelligence

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a Computers

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a Particle Acceleration and Detection, Beam Physics

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a Computational Intelligence

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a Theory of Computation

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a Numerical analysis

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a Particle acceleration

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a Numerical Analysis

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a Engineering, general

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a Optics

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a Classical Electrodynamics

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a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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a Lecture Notes in Computational Science and Engineering

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u https://doi.org/10.1007/9783642568022?nosfx=y
x Verlag
3 Volltext

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a 004.0151

520 


a treated in more detail. They are just specimen of larger classes of schemes. Es sentially, we have to distinguish between semianalytical methods, discretiza tion methods, and lumped circuit models. The semianalytical methods and the discretization methods start directly from Maxwell's equations. Semianalytical 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 semianalytical 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 semianalytic methods are the best suited solution methods. For example, an application from accelerator physics used the mode matching technique (see subsection 5. 4)
