Ryabichev V. The accuracy of the approximation for solving an abstract Cauchy problem

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U003898

Thesis Registration Form

0406U003898.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

03-10-2006

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

Abstract Cauchy problem. The aim is to investigate the discretizations of the abstract Cauchy problem. The results in operator calculus and calculation methods are used. New integral accuracy estimates of the Cayley transform method are obtained and their (near) unimprovability in order is asserted. A high-accuracy algorithm of solving a first-order evolution equation with a variable unbounded operator is built and investigated. The results in functional analysis and calculation methods are obtained. The methods of the discretization of the abstract Cauchy problem are studied. The results obtained can be used in applied mathematics.

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Files

Aref.doc

dis.doc

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