On difference approximations with wrong boundary values
Authors:
HeinzOtto Kreiss and Einar Lundqvist
Journal:
Math. Comp. 22 (1968), 112
MSC:
Primary 65.65
MathSciNet review:
0228193
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
Seymour
V. Parter, Stability, convergence, and pseudostability of
finitedifference equations for an overdetermined problem, Numer.
Math. 4 (1962), 277–292. MR 0148232
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Peter
D. Lax, On the stability of difference approximations to solutions
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Gilbert
Strang, WienerHopf difference equations, J. Math. Mech.
13 (1964), 85–96. MR 0160335
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HeinzOtto
Kreiss, Difference approximations for the initialboundary value
problem for hyperbolic differential equations, Numerical Solutions of
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John Wiley & Sons, Inc., New York, 1966, pp. 141–166. MR 0214305
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M. Y. T. Apelkranz, "On difference schemes for hyperbolic equations with discontinuous initial values." (To appear.)
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Herbert
B. Keller and Vidar
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D. Lax and L.
Nirenberg, On stability for difference schemes: A sharp form of
Gȧrding’s inequality, Comm. Pure Appl. Math.
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 [1]
 S. V. Parter, "Stabilty, convergence and pseudostability of finitedifference equations for an overdetermined problem," Numer. Math., v. 4, 1962, pp. 277292. MR 26 #5740. MR 0148232 (26:5740)
 [2]
 P. D. Lax, "On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients," Comm. Pure Appl. Math., v. 14, 1961, pp. 497520. MR 26 #3215. MR 0145686 (26:3215)
 [3]
 W. G. Strang, "WienerHopf difference equations," J. Math, and Mech., v. 13, 1964, pp. 8596. MR 28 #3548. MR 0160335 (28:3548)
 [4]
 H.O. Kreiss, "Difference approximations for the initialboundary value problem for hyperbolic differential equations," Numerical Solutions of Nonlinear Differential Equations, Proceedings of a Symposium at the University of Wisconsin (May 1966), edited by Donald Greenspan, Wiley, New York, 1966. MR 0214305 (35:5156)
 [5]
 M. Y. T. Apelkranz, "On difference schemes for hyperbolic equations with discontinuous initial values." (To appear.)
 [6]
 H. B. Keller & V. ThomÉE, "Unconditionally stable difference methods for mixed problems for quasilinear hyperbolic systems in two dimensions," Comm. Pure Appl. Math., v. 15, 1962, pp. 6373. MR 28 #1778. MR 0158555 (28:1778)
 [7]
 P. D. Lax & L. Nirenberg, "On stability for difference schemes; a sharp form of Gårdings inequality," Comm. Pure Appl. Math., v. 19, 1966, pp. 473492. MR 0206534 (34:6352)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571819680228193X
PII:
S 00255718(1968)0228193X
Article copyright:
© Copyright 1968
American Mathematical Society
