A critique of numerical analysis
HTML articles powered by AMS MathViewer
- by Peter Linz PDF
- Bull. Amer. Math. Soc. 19 (1988), 407-416
References
-
1. I. Babuska and W. C. Rheinboldt, A-posteriori error estimates for the finite element method, Internat. J. Numer. Methods Engrg. 12 (1978), 1597-1615.
- Eugene Isaacson and Herbert Bishop Keller, Analysis of numerical methods, John Wiley & Sons, Inc., New York-London-Sydney, 1966. MR 0201039
- Peter Linz, Uncertainty in the solution of linear operator equations, BIT 24 (1984), no. 1, 92–101. MR 740271, DOI 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.
- 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, DOI 10.1007/978-1-4612-5018-0
- Steve Smale, On the efficiency of algorithms of analysis, Bull. Amer. Math. Soc. (N.S.) 13 (1985), no. 2, 87–121. MR 799791, DOI 10.1090/S0273-0979-1985-15391-1
- Joe Fred Traub and H. Woźniakowsi, A general theory of optimal algorithms, ACM Monograph Series, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. MR 584446
- 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
Additional Information
- Journal: Bull. Amer. Math. Soc. 19 (1988), 407-416
- MSC (1985): Primary 65-02
- DOI: https://doi.org/10.1090/S0273-0979-1988-15682-0
- MathSciNet review: 936891