Semenova E. Bounds of information expenses for solving ill-posed problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U000507

Thesis Registration Form

0409U000507.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

27-01-2009

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

For the solving of ill-posed problems with Sobolev type of finite smoothness the class of methods is constructed and the computational efficiency in the sense of discrete information are proved . For first kind Fredholm equations on a half-line with polynomial-decay kernels the new economical piecewise constant discretization schemes are proposed. The approximating properties of fully discrete projection method for the solving of Simm's equation are investigated in the scale of Sobolev spaces.

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Files

Aref.pdf

disertacia_Semenova.pdf

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