Stability theory of difference approximations for mixed initial boundary value problems. II
Authors:
Bertil Gustafsson, HeinzOtto Kreiss and Arne SundstrÃ¶m
Journal:
Math. Comp. 26 (1972), 649686
MSC:
Primary 65M10
MathSciNet review:
0341888
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Abstract: A stability theory is developed for general difference approximations to mixed initial boundary value problems. The results are applied to certain commonly used difference approximations which are stable for the Cauchy problem, and different ways of defining boundary conditions are analyzed.
 [1]
HeinzOtto
Kreiss, Stability theory for difference
approximations of mixed initial boundary value problems. I, Math. Comp. 22 (1968), 703–714. MR 0241010
(39 #2355), http://dx.doi.org/10.1090/S00255718196802410107
 [2]
H.O.
Kreiss, Difference approximations for initial boundaryvalue
problems, Proc. Roy. Soc. London Ser. A 323 (1971),
255–261. A discussion on numerical analysis of partial differential
equations (1970). MR 0501979
(58 #19187)
 [3]
HeinzOtto
Kreiss, Difference approximations for the initialboundary value
problem for hyperbolic differential equations, Numerical Solutions of
Nonlinear Differential Equations (Proc. Adv. Sympos., Madison, Wis., 1966)
John Wiley & Sons, Inc., New York, 1966, pp. 141–166. MR 0214305
(35 #5156)
 [4]
HeinzOtto
Kreiss, Initial boundary value problems for hyperbolic
systems, Comm. Pure Appl. Math. 23 (1970),
277–298. MR 0437941
(55 #10862)
 [5]
Stanley
Osher, Stability of parabolic difference
approximations to certain mixed initial boundary value problems,
Math. Comp. 26 (1972), 13–39. MR 0298990
(45 #8039), http://dx.doi.org/10.1090/S00255718197202989904
 [6]
James
V. Ralston, Note on a paper of Kreiss, Comm. Pure Appl. Math.
24 (1971), no. 6, 759–762. MR 0606239
(58 #29326)
 [1]
 H.O. Kreiss, ``Stability theory for difference approximations of mixed initial boundary value problems. I,'' Math. Comp., v. 22, 1968, pp. 703714. MR 39 #2355. MR 0241010 (39:2355)
 [2]
 H.O. Kreiss, ``Difference approximations for mixed initial boundary value problems,'' Proc. Roy. Soc. London Ser. A, v. 323, 1971, pp. 255261. MR 0501979 (58:19187)
 [3]
 H.O. Kreiss, ``Difference approximations for the initialboundary value problem for hyperbolic differential equations,'' Numerical Solutions of Nonlinear Differential Equations (Proc. Adv. Sympos., Madison, Wis., 1966), Wiley, New York, 1966, pp. 141166. MR 35 #5156. MR 0214305 (35:5156)
 [4]
 H.O. Kreiss, ``Initial boundary value problems for hyperbolic systems,'' Comm. Pure Appl. Math., v. 23, 1970, pp. 277298. MR 0437941 (55:10862)
 [5]
 S. Osher, ``Stability of parabolic difference approximations to certain mixed initial boundary value problems,'' Math. Comp., v. 26, 1972, pp. 1339. MR 0298990 (45:8039)
 [6]
 J. V. Ralston, ``Note on a paper of Kreiss,'' Comm. Pure Appl. Math., v. 24, 1971, pp. 759762. MR 0606239 (58:29326)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197203418883
PII:
S 00255718(1972)03418883
Article copyright:
© Copyright 1972
American Mathematical Society
