The stability of difference approximations to a selfadjoint parabolic equation, under derivative boundary conditions
Authors:
C. M. Campbell and P. Keast
Journal:
Math. Comp. 22 (1968), 336346
MSC:
Primary 65.68
MathSciNet review:
0226889
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
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 R. S. Varga, Matrix Iterative Analysis, PrenticeHall, Englewood Cliffs, N. J., 1962. MR 28 #1725. MR 0158502 (28:1725)
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 M. E. Rose, "On the integration of nonlinear parabolic equations by implicit difference methods," Quart. J. Appl. Math., v. 14, 1956, pp. 237248. MR 19, 65. MR 0085610 (19:65f)
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 I. V. Fryazinov, "On a difference approximation of the boundary conditions for the third boundaryvalue problem," Ž. Vyčisl. Mat. i. Mat. Fiz., v. 4, 1964, pp. 11061112. (Russian) MR 31 #895. MR 0176623 (31:895)
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 P. Keast & A. R. Mitchell, "On the instability of the Crank Nicholson formula under derivative boundary conditions," Comput. J., v. 9, 1966, pp. 110114. MR 33 #5137. MR 0196953 (33:5137)
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 J. Gary, "A generalization of the LaxRichtmyer Theorem on finite difference schemes," SIAM J. Numer. Anal., v. 3, 1966, pp. 467473. MR 34 #5311. MR 0205484 (34:5311)
 [9]
 R. Courant & D. Hilbert, Methods of Mathematical Physics, Vol. 1, Interscience, New York, 1953. MR 16, 426. MR 0065391 (16:426a)
 [10]
 N. S. Koshlyakov, M. M. Smirnov & E. B. Gliner, Differential Equations of Mathematical Physics, Amsterdam, NorthHolland; Interscience, New York, 1964. MR 31 #1443. MR 0177179 (31:1443)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718196802268897
PII:
S 00255718(1968)02268897
Article copyright:
© Copyright 1968 American Mathematical Society
