Vovk O. Numerical modeling of the nonlinear evolution diffusion-advection-reaction problems.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U003878

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

01-07-2016

Specialized Academic Board

Д 35.051.07

Ivan Franko National University of Lviv

Essay

The thesis is devoted to development and investigation of an efficient  projection-mesh schemes to solve the problems with diffusion-advection-reaction equations, in particular singularly perturbed and/or semilinear ones. The basis of the proposed numerical schemes is formed by both Galerkin procedure, which permits selection of finite element method approximation space by using a posteriori error estimations and h-adaptivity concept, and one step recurrent schemes for integration with respect to time.

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