Mosentsova G. Optimal methods for solving some classes of Fredholm equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U002389

Thesis Registration Form

0410U002389.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

18-05-2010

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

For severally ill-posed problems noisy input data the optimal methods of approximate solution are proposed. For Fredholm integral equations of the second kind with coefficients of Sobolev's type smoothness it was new approximate methods constructed which are taking into account smoothness properties of the equation. For these equation classes it is determinedthe exact order of accuracy for information and algorithmic complexity, which is realized in the framework of constructed methods. For Fredholm integral equations with harmonic kernels and right-hand sides a projection-iterative method was constructed. This method is efficient in the sense of amount of elementary arithmetic operations.

Read more

Files

Aref.pdf

disertaciya_Mosentsova.pdf

Similar theses

0421U100791

Beshley Andriy Volodymyrovych

Numerical solution of planar boundary value problems for an elliptic equation with variable coefficients by integral equations approach

0520U101612

Mayko Nataliya V.

The weighted estimates of the functional-discrete methods for solving boundary value problems

0419U004550

Borachok Ihor V.

Numerical solution of the Cauchy problem for the Laplace equation in three dimensional double connected domains

0419U004485

Drebotiy Roman Hryhorovych

Construction and analysis of hp-adaptive finite element schemes for diffusion-convection-reaction problems

0418U003534

Stelmashchuk Vitalii Volodymyrovych

Analysis of generalized thermopiezoelectricity problems and projection-mesh schemes for their solution