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Online ISSN 1552-4485; Print ISSN 0033-569X
An asymmetrical finite difference network
Author:
R. H. MacNeal
Journal:
Quart. Appl. Math. 11 (1953), 295-310
DOI:
https://doi.org/10.1090/qam/99978
MathSciNet review:
QAM99978
Full-text PDF Free Access
References | Additional Information
- R. V. Southwell, Relaxation Methods in Theoretical Physics, Oxford, at the Clarendon Press, 1946. MR 0018983
- Howard W. Emmons, The numerical solution of partial differential equations, Quart. Appl. Math. 2 (1944), 173–195. MR 10680, DOI https://doi.org/10.1090/S0033-569X-1944-10680-3
- L. C. Woods, Improvements to the accuracy of arithmetical solutions to certain two-dimensional field problems, Quart. J. Mech. Appl. Math. 3 (1950), 349–363. MR 39387, DOI https://doi.org/10.1093/qjmam/3.3.349
- Gabriel Kron, Equivalent circuit of the field equations of Maxwell. I, Proc. I.R.E. 32 (1944), 289–299. MR 10695
- R. H. MacNeal, The solution of elastic plate problems by electrical analogies, J. Appl. Mech. 18 (1951), 59–67. MR 0039389
- G. K. Carter, Numerical and network-analyzer solution of the equivalent circuits for the elastic field, J. Appl. Mech. 11 (1944), A-162–A-167. MR 0011248
- L. Fox, The numerical solution of elliptic differential equations when the boundary conditions involve a derivative, Philos. Trans. Roy. Soc. London Ser. A 242 (1950), 345–378. MR 35525, DOI https://doi.org/10.1098/rsta.1950.0004 R. H. MacNeal, The solution of partial differential equations by means of electrical networks, Ph.D. Thesis, California Institute of Technology (1949). K. Spangenberg, G. Walters and F. Schott, Electrical network analyzers for the solution of electromagnetic field problem, Part I; Theory and design, Proc I.R.E. 37, 724-729 (1949).
Additional Information
Article copyright:
© Copyright 1953
American Mathematical Society