Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 

 

Quasi-tridiagonal matrices and type-insensitive difference equations


Author: Samuel Schechter
Journal: Quart. Appl. Math. 18 (1960), 285-295
MSC: Primary 65.00
DOI: https://doi.org/10.1090/qam/114309
MathSciNet review: 114309
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References [Enhancements On Off] (What's this?)

  • [1] Chia-Kun Chu, TYPE-INSENSITIVE FINITE DIFFERENCE SCHEMES, ProQuest LLC, Ann Arbor, MI, 1959. Thesis (Ph.D.)–New York University. MR 2615629
  • [2] A. F. Cornock, The numerical solution of Poisson’s and bi-harmonic equations by matrices, Proc. Cambridge Philos. Soc. 50 (1954), 524–535. MR 0063787
  • [3] V. N. Faddeeva, Computational methods of linear algebra, Dover Publications, Inc., New York, 1959. MR 0100344
  • [4] Olle Karlqvist, Numerical solution of elliptic difference equations by matrix methods, Tellus 4 (1952), 374–384 (1953). MR 0057037
  • [5] K. O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math. 11 (1958), 333–418. MR 0100718, https://doi.org/10.1002/cpa.3160110306
  • [6] J. A. Nohel and W. P. Timlake, Higher order differences in the numerical solution of two-dimensional neutron diffusion equations, Proc. of the Second Intl. Conf. on the Peaceful Uses of Atomic Energy, Geneva, 1958
  • [7] M. L. Potters, A matrix method for the solution of a linear second order difference equation in two variables, Rekenafdeling MR 19, Math. Centrum Amsterdam., 1955. MR 0068097
  • [8] L. H. Thomas, Elliptic problems in linear differential equations over a network, mimeographed notes

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DOI: https://doi.org/10.1090/qam/114309
Article copyright: © Copyright 1960 American Mathematical Society


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