%0 Conference Paper %1 branin1967computer %A Branin, Franklin H., Jr. %B Proceedings of the 4th Design Automation Conference %C New York %D 1967 %I ACM %K %P 8-1 - 8-19 %R 10.1145/800270.810863 %T Computer Methods of Network Analysis %U http://portal.acm.org/citation.cfm?id=800270.810863 %X In this tutorial paper, the influence of the computer not only on the modus operandi of circuit design, but also on network theory itself, is discussed. The topological properties of linear graphs are reviewed and a matrix-topological formulation of the network problem is described. In addition to the classical mesh, node, and cutset methods, a mixed method of analysis is described which is applicable to dc, ac, and transient problems. Numerical methods of solving linear and nonlinear dc network problems are discussed and a new approach to ac analysis, using the mixed method and a numerical solution of the matrix eigenvalue problem, is described. The extension of this method to the transient analysis of linear networks is also explained. Finally, the problem of instability in the numerical integration of differential equations is discussed and several means of solving the problem are outlined.

@inproceedings{branin1967computer, abstract = {In this tutorial paper, the influence of the computer not only on the modus operandi of circuit design, but also on network theory itself, is discussed. The topological properties of linear graphs are reviewed and a matrix-topological formulation of the network problem is described. In addition to the classical mesh, node, and cutset methods, a mixed method of analysis is described which is applicable to dc, ac, and transient problems. Numerical methods of solving linear and nonlinear dc network problems are discussed and a new approach to ac analysis, using the mixed method and a numerical solution of the matrix eigenvalue problem, is described. The extension of this method to the transient analysis of linear networks is also explained. Finally, the problem of instability in the numerical integration of differential equations is discussed and several means of solving the problem are outlined.}, added-at = {2024-03-28T04:03:10.000+0100}, address = {New York}, author = {{Branin, Franklin H.}, Jr.}, biburl = {https://www.bibsonomy.org/bibtex/2d152496e7e028997b92fa6675bc8a7a0/gdmcbain}, booktitle = {Proceedings of the 4th Design Automation Conference}, citeulike-article-id = {13518770}, citeulike-linkout-0 = {http://portal.acm.org/citation.cfm?id=800270.810863}, citeulike-linkout-1 = {http://dx.doi.org/10.1145/800270.810863}, doi = {10.1145/800270.810863}, interhash = {be35818b707d4682abad6ddf0ae7ec5c}, intrahash = {d152496e7e028997b92fa6675bc8a7a0}, keywords = {}, pages = {8-1 - 8-19}, posted-at = {2015-02-16 22:47:08}, priority = {2}, publisher = {ACM}, series = {DAC '67}, timestamp = {2024-03-28T04:03:10.000+0100}, title = {Computer Methods of Network Analysis}, url = {http://portal.acm.org/citation.cfm?id=800270.810863}, year = 1967 }