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Online ISSN 1552-4485; Print ISSN 0033-569X
Non-linear networks and boundary value problems
Author:
T. A. Dwyer
Journal:
Quart. Appl. Math. 19 (1962), 285-300
MSC:
Primary 78.35
DOI:
https://doi.org/10.1090/qam/135473
MathSciNet review:
135473
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Garrett Birkhoff and J. B. Diaz, Non-linear network problems, Quart. Appl. Math. 13 (1956), 431–443. MR 77398, DOI https://doi.org/10.1090/S0033-569X-1956-77398-1
- J. B. Diaz and R. C. Roberts, On the numerical solution of the Dirichlet problem for Laplace’s difference equation, Quart. Appl. Math. 9 (1952), 355–360. MR 44225, DOI https://doi.org/10.1090/S0033-569X-1952-44225-4
- Frank Harary, The number of functional digraphs, Math. Ann. 138 (1959), 203–210. MR 109130, DOI https://doi.org/10.1007/BF01342903
- R. J. Duffin, Nonlinear networks. IIa, Bull. Amer. Math. Soc. 53 (1947), 963–971. MR 22960, DOI https://doi.org/10.1090/S0002-9904-1947-08917-5
- J. L. Synge, The fundamental theorem of electrical networks, Quart. Appl. Math. 9 (1951), 113–127. MR 42958, DOI https://doi.org/10.1090/S0033-569X-1951-42958-X
- J. B. Diaz and R. C. Roberts, Upper and lower bounds for the numerical solution of the Dirichlet difference boundary value problem, J. Math. Physics 31 (1952), 184–191. MR 0051589 C. Saltzer, Discrete potential theory for two-dimensional Laplace and Poisson difference equations, NACA TN 4086, Washington, D. C. (1958)
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Article copyright:
© Copyright 1962
American Mathematical Society