Applied functional analysis. Approximation methods and computers

Bibliographic Information

Applied functional analysis. Approximation methods and computers

edited by S.S. Kutateladze and J.V. Romanovsky ; translated from the Russian by A.B. Sossinskii

(Classics of Soviet mathematics, v. 3 . L.V. Kantorovich selected works ; pt. 2)

Gordon and Breach Science Pub., c1996

Search this Book/Journal
Note

Includes index

Description and Table of Contents

Description

This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.

Table of Contents

1. On convergence of the sequence of Bernstein polynomials beyond the principal interval 2. Some remarks on approximation of functions by polynomials with integer coefficients 3. On certain expansions in Bernstein polynomials 4. Explicit representation of a measurable function as the limit of polynomial sequences 5. A direct method for approximate solution of the problem of a double integral minimum 6. On conformal mappings 7. Application of the Stieltjes integral to the calculation of beams lying on elastic supports 8. On approximate calculation of certain types of definite integrals 9. On general methods of improving the convergence for approximate solutions to boundary value problems of mathematical physics 10. On a method of approximate solution of partial differential equations 11. On convergence of variational processes 12. On the convergence of the method of reduction to ordinary differential equations 13. Some remarks on the Ritz method 14. Using the ideas of the Galerkin method in the method of reduction to differential equations 15. On an effective method of solving extremal problems for quadratic functionals 16. On the method of steepest descent 17. On Newton's method for functional equations 18. Functional analysis and applied mathematics 19. On differential equations of the form xn=f(x) 20. On the Newton Method 21. Some further applications of the Newton method for functional equations 22. New modes of calculations with the tabulator using the binary representations of numbers 23. Prospects in the development and applications of computers 24. Execution of numeric and analytic calculations on computers 25. Increasing of productivity of universal computers in solving problems of mathematical economics

by "Nielsen BookData"

Related Books: 1-1 of 1
Details
  • NCID
    BA2761381X
  • ISBN
    • 2884490132
  • Country Code
    au
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Amsterdam
  • Pages/Volumes
    393 p.
  • Size
    24 cm
  • Classification
  • Parent Bibliography ID
Page Top