Discretization of solutions of partial differential equations in the context of the Computational (numerical) diameter


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Authors

  • N. Temirgaliyev Institute of Theoretical Mathematics and Scientific Computations of the L. N. Gumilyov Eurasian National University
  • G.E. Taugynbaeva Institute of Theoretical Mathematics and Scientific Computations of the L. N. Gumilyov Eurasian National University
  • Sh.K. Abikenova Institute of Theoretical Mathematics and Scientific Computations of the L. N. Gumilyov Eurasian National University

Keywords:

Computer (computational) diameter, , discretization of solutions of partial differential equations by accurate and inaccurate information, limit error

Abstract

Since 1996, the idea of a Computational (numerical) diameter has been consistently developed, the goal of
which is to optimally computer process models of mathematical models in real conditions of distorted data.
The C(N)D-scheme, in our opinion, determines the refined organization of research in Approximation theory, Computational mathematics, and Numerical analysis.
The paper is devoted to the coverage of the C(N)D -approach in the theory of partial differential equations. The examples
of the historically original Laplace, Poisson, heat conduction, wave and, relatively recently Klein-Gordon equations give
theorems as illustrative results of the quality and efficiency of C(N)D-productions.
The presented materials can serve to continue the study of the optimal discretization of solutions of partial differential
equations with further expansion and deepening of the proposed direction.

Published

2019-01-30

How to Cite

Temirgaliyev Н., Г.Е.Таугынбаева, & Ш.К.Абикенова. (2019). Discretization of solutions of partial differential equations in the context of the Computational (numerical) diameter. BULLETIN OF THE L.N. GUMILYOV EURASIAN NATIONAL UNIVERSITY. Mathematics. Computer Science. Mechanics Series, 126(1), 8–51. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/39

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