Temat: Collocation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Solving of nonlinear equations which arise in collocation method
Autorzy:: Pilipczuk, Iwona
Powiązania:: https://bibliotekanauki.pl/articles/748354.pdf
Data publikacji:: 1986
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Spectral, collocation and related methods
Ill-posed problems
Opis:: .
The paper concerns a Dirichlet problem for the equation - A.u + F(x,y,u,ux,Uy) = 0'on a rectangle. An iteration process for solving a nonlinear system of algebraic equations which arise in collocation method is considered. A convergence and an error estimate are obtained. Numerical results are presented for equations with F=cu+eu+f(x,y).
Źródło:: Mathematica Applicanda; 1986, 14, 27
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

Skocz do pozycji: 4.

Tytuł:: Galerkins method of variable directions for parabolic obstacle variational inequalities
Autorzy:: Zemła, Adam
Powiązania:: https://bibliotekanauki.pl/articles/747741.pdf
Data publikacji:: 1983
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Methods of Newton-Raphson, Galerkin and Ritz types
Variational inequalities
Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
Opis:: .
Author introduction (translated from the Polish): "This paper is an attempt to extend Galerkin's variable directions method ADG, used in the solution of differential equations [see M. Dryja , same journal 15 (1979), 5–23; MR0549983; G. Fairweather , Finite element Galerkin methods for differential equations, Chapter 6, Dekker, New York, 1978; MR0495013] to inequalities. The numerical properties of the scheme of the ADG method are discussed using the example of the following variational problem: Find a function u:(0,T)→K⊂V⊂H such that: (u′+Au−f,v−u)H≥0 for all v∈K and almost all t in [0,T), u(0)=u0, where V and H are Hilbert spaces of functions defined on Ω. The problem studied in this paper is called a parabolic obstacle variational inequality. We restrict ourselves to problems with a symmetric operator A whose coefficients do not depend on the time variable."
Źródło:: Mathematica Applicanda; 1983, 11, 23
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja