Kutniv M. Compact difference schemes of high accuracy order for nonlinear ordinary differential equations

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0507U000413

Thesis Registration Form

0507U000413.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

12-06-2007

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

For numerical solution boundary value problems for nonlineary differencial equations and its systems exact compact difference schemes are constructed. The effective implementations of the exact compact difference schemes in terms of so called truncated compact difference schemes of arbitrary given accuracy order are developed. For compact difference schemes the existence and uniqueness of solution are prooved and the estimations of accuracy are given. The convergence of iteration methods for its numerical solution are proved.

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Files

Aref.doc

dys.pdf

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