On the errors in analogue solutions of heat conduction problems
Author:
Jim Douglas Jr.
Journal:
Quart. Appl. Math. 14 (1956), 333-335
MSC:
Primary 65.3X
DOI:
https://doi.org/10.1090/qam/88805
MathSciNet review:
88805
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Additional Information
W. A. Bruce, An electrical device for analyzing oil-reservoir behavior, Trans. AIME 151, 112-124 (1943)
J. Douglas, On the numerical integration of quasi-linear parabolic differential equations, to appear in the Pacific Journal of Mathematics
- N. R. Eyres, D. R. Hartree, J. Ingham, R. Jackson, R. J. Sarjant, and J. B. Wagstaff, The calculation of variable heat flow in solids, Philos. Trans. Roy. Soc. London Ser. A 240 (1946), 1–57. MR 18982, DOI https://doi.org/10.1098/rsta.1946.0002
- D. R. Hartree, The application of the differential analyser to the evaluation of solutions of partial differential equations, Proc. First Canadian Math. Congress, Montreal, 1945, University of Toronto Press, Toronto, 1946, pp. 327–337. MR 0020010
E. L. Ince, Ordinary differential equations, New York
V. Paschkis and H. D. Baker, A method for determining unsteady-state heat transfer by means of an electrical analogy, Trans. ASME, 64, 105-110 (1942)
- Erich Rothe, Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben, Math. Ann. 102 (1930), no. 1, 650–670 (German). MR 1512599, DOI https://doi.org/10.1007/BF01782368
W. A. Bruce, An electrical device for analyzing oil-reservoir behavior, Trans. AIME 151, 112-124 (1943)
J. Douglas, On the numerical integration of quasi-linear parabolic differential equations, to appear in the Pacific Journal of Mathematics
N. R. Eyres, D. R. Hartree, J. Ingham, R. Jackson, R. J. Sarjant, and J. B. Wagstaff, The calculation of variable heat flow in solids, Phil. Trans. Roy. Soc. London, Ser. A, 240, 1-57 (1946-8)
D. R. Hartree, The application of the differential analyser to the evaluation of solutions of partial differential equations, Proc. First Canadian Math. Congress, 327-337 (1945)
E. L. Ince, Ordinary differential equations, New York
V. Paschkis and H. D. Baker, A method for determining unsteady-state heat transfer by means of an electrical analogy, Trans. ASME, 64, 105-110 (1942)
E. Rothe, Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensi[ill]naler Randwertaufgaben, Math. Ann. 102, 650-670 (1930)
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Article copyright:
© Copyright 1956
American Mathematical Society
