Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

The numerical solution of partial differential equations


Author: Howard W. Emmons
Journal: Quart. Appl. Math. 2 (1944), 173-195
MSC: Primary 65.0X
DOI: https://doi.org/10.1090/qam/10680
MathSciNet review: 10680
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  • [1] M. KORMES, Numerical solution of the boundary value problem for the potential equation by means of punched cards, Rev. Sci. Instruments, 14 (1943). MR 0009161
  • [2] H. LIEBMANN, Die angenäherte Ermittlung harmonischer Funktionen und konformer Abbildungen, Sitzungsber. Münchener Akad., 1918, 385.
  • [3] F. WOLF, Über die angenäherte numerische Berechnung harmonischer und biharmonischer Funktionen, Z. angew. Math. u. Mech., 6, 118--150 (1926).
  • [4] R. COURANT, Über Randwertaufgaben bei partiellen Differenzengleichungen, Z. angew. Math. u. Mech., 6, 322--325 (1926).
  • [5] A. THOM, The flow past circular cylinders at low speeds, Proc. Roy. Soc. London, A, 141, 651--669 (1933).
  • [6] G. SHORTLEY and R. WELLER, The numerical solution of Laplace's equation, J. Appl. Phys., 9, 334--348 (1938).
  • [7] R. VON MISES and H. GEIRINGER, Praktische Verfahren der Gleichungsauflösung, Z. angew. Math u. Mech., 9, 58--76, 152--164 (1929).
  • [8] R. COURANT, K. FRIEDRICHS and H. LEWY, Über die partiellen Differenzengleichungen der mathematischen Physik, Math. Ann., 100, 22--74 (1928). MR 1512478
  • [9] D. G. CHRISTOPHERSON and R. V. SOUTHWELL, Relaxation methods applied to engineering problems. III. Problems involving two independent variables, Proc. Roy. Soc. London, A, 168, 317--350 (1938).
  • [10] R. V. SOUTHWELL, New pathways in aeronautical theory, 5th Wright Brothers Lecture, J. Aer. Sci., 9, 77--89 (1942). MR 0005855
  • [11] S. TIMOSHENKO, Theory of plates and shells, McGraw-Hill Book Co., 1st ed., 1940, p. 187.
  • [12] R. V. SOUTHWELL, Relaxation methods in engineering science, Oxford Univ. Press, 1940, Chapters VII and VIII. MR 0005425
  • [13] D. G. CHRISTOPHERSON, A new mathematical method for the solution of film lubrication problems, J. Inst. Mech. Eng., 146, 126--135 (1942). MR 0006295
  • [14] H. BATEMAN, Partial differential equations, Cambridge Univ. Press, 1932, pp. 169--171.

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DOI: https://doi.org/10.1090/qam/10680
Article copyright: © Copyright 1944 American Mathematical Society

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