Khapko R. A numerical solution of the direct and inverse initial boundary value problems with the help of the boundary integral equations.

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0500U000015

Thesis Registration Form

0500U000015.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

23-12-1999

Specialized Academic Board

Д 35.051.07

Ivan Franko National University of Lviv

Essay

The combination of Rothe's method, Laguerre transformation, Cayley transformation with boundary integral equation method and the method of nonstationary potentials are suggested for nonstationary direct probems. We make and investigate the trigonometric quadrature method for the system of integral equations of the first and second kind. For the inverse problems, the unique ness and the domain derivative for the corresponding nonlinear operator are establish. We describe the Newton method with Tikhonov regularization. On every step of our method we solve numerically the sequence of direct problems.

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