Convergence rates of methods with smooth initial error
Authors:
Robert E. Lynch and John R. Rice
Journal:
Math. Comp. 22 (1968), 311335
MSC:
Primary 65.65
MathSciNet review:
0237109
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
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 N. I. AcHiESER, Theory of Approximation, Ungar, New York, 1956, Section 33. MR 20 #1872. MR 0095369 (20:1872)
 [2]
 G. Birkhoff, R. S. Varga & D. Young, "Alternating direction implicit methods," Advances in Computers, Vol. 3, Academic Press, New York, 1962, pp. 189273. MR 29 #5395. MR 0168131 (29:5395)
 [3]
 C. de Boor & J. R. Rice, "Chebyshev approximation by and application to ADI iteration," J. Soc. Indust. Appl. Math., v. 11, 1963, pp. 159169. MR 28 #4666.
 [4]
 W. H. Guilinger, Jr., "PeacemanRachford method for small mesh increments," J. Math. Anal. Appl., v. 11, 1965, pp. 261277. MR 32 #607. MR 0183125 (32:607)
 [5]
 R. E. Lynch, J. R. Rice & D. H. Thomas, "Tensor product analysis of partial difference equations," Bull. Amer. Math. Soc., v. 70, 1964, pp. 378384. MR 29 #6640. MR 0169390 (29:6640)
 [6]
 R. E. Lynch, J. R. Rice & D. H. Thomas, "Direct solution of partial difference equations by tensor product methods," Numer. Math., v. 6, 1964, pp. 185199. MR 0213047 (35:3912)
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 R. E. Lynch, J. R. Rice & D. H. Thomas, "Tensor product analysis of alternating direction implicit methods," J. Soc. Indust. Appl. Math., v. 13, 1965, pp. 9951006. MR 33 #6854. MR 0198699 (33:6854)
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 D. W. Peaceman & H. H. Rachford, Jr., "The numerical solution of parabolic and elliptic differential equations," J. Soc. Indust. Appl. Math., v. 3, 1955, pp. 2841. MR 17, 196. MR 0071874 (17:196d)
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 J. R. Rice, The Approximation of Functions, Vol. II, AddisonWesley, Reading, Mass. (To appear.)
 [10]
 D. Jackson, The Theory of Approximation, Amer. Math. Soc. Colloquium Publ., Vol. 11, Amer. Math. Soc., Providence, R. I., 1930. MR 1451140 (98a:01022)
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 Antoni Zygmund, Trigonometric Series, Dover, New York, 1955. MR 17, 361. MR 0072976 (17:361e)
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 C. de Boor, "Bicubic spline interpolation," J. Math. Phys., v. 41, 1962, pp. 212218. MR 28 #1735. MR 0158512 (28:1735)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718196802371091
PII:
S 00255718(1968)02371091
Article copyright:
© Copyright 1968
American Mathematical Society
