Mosentsova L. Methods and software tools for solving nonlinear problems of interpretation of the results of observations in the integral definition

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U005099

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

29-06-2016

Specialized Academic Board

Д 26.001.35

Taras Shevchenko National University of Kyiv

Essay

For the solving nonlinear equations of the first kind was proposed method of modeling experiments and were improved Tikhonov regularization algorithms, a regularization method of Lavrentiev-Vasin. For the solving of Fredholm type nonlinear integral equations of the second kind was improved the computational process of method of simple iterations. It was developed and investigated a set of algorithms for solving nonlinear integral equations. For this algorithms was developed complex software.

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