Temat: boundary problems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The algorithms of selected methods for the two-point boundary value problem for the equation - u + g(x)u = f(x)
Autorzy:: Kołodziejczyk, Janusz
Grabarski, Adam
Powiązania:: https://bibliotekanauki.pl/articles/747914.pdf
Data publikacji:: 1990
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Boundary value problems
Opis:: .
In this paper four algorithms of methods of approximate solution of the two-point boundary value problem for the equation - u” + g(x)u = f(x) are given and compared. The finite difference, collocation, finite element and collocation-Galerkin methods are considered. Numerical results are presented. For sufficiently regular functions u,f and g the finite difference method is the most effective.
Źródło:: Mathematica Applicanda; 1990, 18, 32
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems
Autorzy:: Leyk, Zbigniew
Powiązania:: https://bibliotekanauki.pl/articles/747667.pdf
Data publikacji:: 1989
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Finite elements, Rayleigh-Ritz, Galerkin and collocation
Boundary value problems
Opis:: .
In the paper, the H^(-1)Galerkin-collocation method with quadratures (instead of integrals) for two point boundary value problems is considered. Approximate solution is a piecewise polynomial of degree r. It is proved that the method is stable and the error in L2-norm is of order O(h^(r+1)) if the used quadrature is exact for polynomial of degree not greater than r+1.
Źródło:: Mathematica Applicanda; 1989, 17, 31
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Superconvergence effect in finite element methods for two-point boundary value problems
Autorzy:: Regińska, Teresa
Powiązania:: https://bibliotekanauki.pl/articles/747715.pdf
Data publikacji:: 1987
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Boundary value problems
Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
Opis:: .
Approximate methods for solving two-point boundary value problems are considered. The aim of the paper is to explain superconvergence effect in the methods using finite element spaces. The existence of a class of the methods with the superconvergence property is demonstrated. Detailed proofs of superconvergence are presented for the case of the Galerkin method (due to Douglas and Dupont results) and for some example of external method.
Źródło:: Mathematica Applicanda; 1987, 16, 30
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

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