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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

A critique of numerical analysis

Author(s): Peter Linz
Journal: Bull. Amer. Math. Soc. 19 (1988), 407-416.
MSC (1985): Primary 65-02
MathSciNet review: 936891
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References:

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I. Babuska and W. C. Rheinboldt, A-posteriori error estimates for the finite element method, Internat. J. Numer. Methods Engrg. 12 (1978), 1597-1615.
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E. Isaacson and H. B. Keller, Analysis of numerical methods, Wiley, New York, 1966. MR 201039
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P. Linz, Uncertainty in the solution of linear operator equations, BIT 24 (1984), 92-101. MR 740271
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P. Linz, Precise bounds for inverses of integral equation operators, Internat. J. Comput. Math. 24 (1988), 73-81.
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P. Linz, Approximate solution of Fredholm integral equations with accurate and computable error bounds, Tech. Report CSE-87-6, Division of Computer Science, Univ. of California, Davis, 1987.
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J. R. Rice and R. F. Boisvert, Solving elliptic problems using ELLPACK, Springer-Verlag, Berlin and New York, 1985. MR 772025
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S. Smale, Efficiency of algorithms of analysis, Bull. Amer. Math. Soc. (N.S.) 13 (1985), 94-118. MR 799791
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J. Traub and H. Wozniakowsi, A general theory of optimal algorithm, Academic Press, New York, 1980. MR 584446
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O. C. Zienkiewicz and A. W. Craig, A-posteriori error estimation and adaptive mesh refinement in the finite element method, The Mathematical Basis of Finite Element Methods (D. F. Griffiths, ed.), Clarendon Press, 1984. MR 807010

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Additional Information:

DOI: 10.1090/S0273-0979-1988-15682-0
PII: S 0273-0979(1988)15682-0


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