Buch, Englisch, Band 12, 375 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 604 g
Reihe: Lecture Notes in Computational Science and Engineering
Linear Systems in Practical Applications
Buch, Englisch, Band 12, 375 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 604 g
Reihe: Lecture Notes in Computational Science and Engineering
ISBN: 978-3-540-67629-4
Verlag: Springer Berlin Heidelberg
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).
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Technik Allgemein Technik: Allgemeines
- Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Naturwissenschaften Physik Elektromagnetismus Halbleiter- und Supraleiterphysik
- Naturwissenschaften Physik Elektromagnetismus Elektrizität, Elektrodynamik
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Naturwissenschaften Physik Quantenphysik Teilchenphysik
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Naturwissenschaften Physik Elektromagnetismus Magnetismus
Weitere Infos & Material
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.
