- Tytuł:
- On Network Models and the Symbolic Solution of Network Equations
- Autorzy:
- Reinschke, K. J.
- Powiązania:
- https://bibliotekanauki.pl/articles/908328.pdf
- Data publikacji:
- 2001
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
sieć wielowymiarowa
teoria grafów
history of network theory
network graphs
network equations
modified nodal analysis
admittance representation of multi-ports
multidimensional networks - Opis:
- This paper gives an overview of the formulation and solution of network equations, with emphasis on the historical development of this area. Networks are mathematical models. The three ingredients of network descriptions are discussed. It is shown how the network equations of one-dimensional multi-port networks can be formulated and solved symbolically. If necessary, the network graph is modified so as to obtain an admittance representation for all kinds of multi-ports. N-dimensional networks are defined as graphs with the algebraic structure of N-dimensional vectors. In civil engineering, framed structures in two and three spatial dimensions can be modeled as 3-dimensional or 6-dimensional networks. The separation of geometry from topology is a characteristic feature of such networks.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 237-269
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł