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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Additional Information
- Chia-Kun Chu, TYPE-INSENSITIVE FINITE DIFFERENCE SCHEMES, ProQuest LLC, Ann Arbor, MI, 1959. Thesis (Ph.D.)–New York University. MR 2615629
- A. F. Cornock, The numerical solution of Poisson’s and bi-harmonic equations by matrices, Proc. Cambridge Philos. Soc. 50 (1954), 524–535. MR 63787
- V. N. Faddeeva, Computational methods of linear algebra, Dover Publications, Inc., New York, 1959. MR 0100344
- Olle Karlqvist, Numerical solution of elliptic difference equations by matrix methods, Tellus 4 (1952), 374–384 (1953). MR 57037, DOI https://doi.org/10.3402/tellusa.v4i4.8801
- K. O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math. 11 (1958), 333–418. MR 100718, DOI https://doi.org/10.1002/cpa.3160110306
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
- 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
L. H. Thomas, Elliptic problems in linear differential equations over a network, mimeographed notes
C. K. Chu, Type-insensitive finite difference schemes, Thesis, Ph.D. New York University, Dec. 1958
A. F. Cornock, The numerical solution of Poisson’s and the bi-harmonic equations by matrices, Proc. Cambridge Phil. Soc. 50, 524-535 (1954)
V. N. Faddeeva, Computational methods of linear algebra, Dover Publications, Inc., New York, 1959 p. 20
O. Karlqvist, Numerical solution of elliptic differential equations, Tellus 4, 374-384 (1952)
K. O. Friedrichs, Symmetric positive linear differential equations, Communs. Pure Appl. Math. 11, 333-418 (1958)
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
M. L. Potters, A matrix method for solution of a linear second order differential equation in two variables, Mathematish-Centrum Amsterdam, MR-19, (1955)
L. H. Thomas, Elliptic problems in linear differential equations over a network, mimeographed notes
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Article copyright:
© Copyright 1960
American Mathematical Society
