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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

A critique of numerical analysis


Author: Peter Linz
Journal: Bull. Amer. Math. Soc. 19 (1988), 407-416
MSC (1985): Primary 65-02
MathSciNet review: 936891
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  • 3. Peter Linz, Uncertainty in the solution of linear operator equations, BIT 24 (1984), no. 1, 92–101. MR 740271, 10.1007/BF01934519
  • 4. P. Linz, Precise bounds for inverses of integral equation operators, Internat. J. Comput. Math. 24 (1988), 73-81.
  • 5. 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.
  • 6. John R. Rice and Ronald F. Boisvert, Solving elliptic problems using ELLPACK, Springer Series in Computational Mathematics, vol. 2, Springer-Verlag, Berlin, 1985. With appendices by W. R. Dyksen, E. N. Houstis, Rice, J. F. Brophy, C. J. Ribbens and W. A. Ward. MR 772025
  • 7. Steve Smale, On the efficiency of algorithms of analysis, Bull. Amer. Math. Soc. (N.S.) 13 (1985), no. 2, 87–121. MR 799791, 10.1090/S0273-0979-1985-15391-1
  • 8. Joe Fred Traub and H. Woźniakowsi, A general theory of optimal algorithms, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. ACM Monograph Series. MR 584446
  • 9. 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 (London, 1983) Inst. Math. Appl. Conf. Ser. New Ser., vol. 2, Oxford Univ. Press, New York, 1984, pp. 71–89. MR 807010

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DOI: http://dx.doi.org/10.1090/S0273-0979-1988-15682-0