Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 

 

Numerical solution of partial differential equations by boundary contraction


Authors: Harold W. Milnes and Renfrey B. Potts
Journal: Quart. Appl. Math. 18 (1960), 1-13
MSC: Primary 65.00
DOI: https://doi.org/10.1090/qam/114305
MathSciNet review: 114305
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References [Enhancements On Off] (What's this?)

  • [1] E. Bodewig, Matrix calculus, North-Holland Publishing Company, Amsterdam, 1956. MR 0080363
  • [2] Lothar Collatz, Numerische Behandlung von Differentialgleichungen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd. LX, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). 2te Aufl. MR 0068908
  • [3] R. V. Southwell, Relaxation Methods in Engineering Science. A treatise on approximate computation, Oxford Engineering Science Series, Oxford University Press, New York, 1940. MR 0005425
  • [4] E. Bodewig, Matrix calculus, North-Holland Publishing Company, Amsterdam, 1956. MR 0080363
  • [5] Van der Waerden, Modern algebra, vol. II, Frederic Unger Publishing Co., New York, 1950, p. 120-121
  • [6] Harold W. Milnes and Renfrey B. Potts, Boundary contraction solution of Laplace’s differential equation, J. Assoc. Comput. Mach. 6 (1959), 226–235. MR 0105819, https://doi.org/10.1145/320964.320980
  • [7] Harold Willis Milnes, A note on bounded continuous matrix products, Michigan Math. J 6 (1959), 335–338. MR 0109827

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DOI: https://doi.org/10.1090/qam/114305
Article copyright: © Copyright 1960 American Mathematical Society


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