Temat: numerical stability - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some problems connected with the absolute stability of explicit one-step methods
Autorzy:: Szyszkowicz, Mieczysław
Powiązania:: https://bibliotekanauki.pl/articles/748597.pdf
Data publikacji:: 1985
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Stability and convergence of numerical methods
Opis:: .
Regions of absolute stability for several examples of Runge-Kutta methods, Bobkov methods, Richardson extrapolation of Runge-Kutta methods are investigated. For the Richardson extrapolation of Runge-Kutta methods the method with maximal order of convergence is found.
Źródło:: Mathematica Applicanda; 1985, 13, 26
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The optimal explicit unconditionally stable box scheme
Autorzy:: Moszyński, Krzysztof
Powiązania:: https://bibliotekanauki.pl/articles/747543.pdf
Data publikacji:: 1997
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Finite difference methods
Stability and convergence of numerical methods
Opis:: .
The finite difference “box” scheme, (see also [1],[2]), is considered on the simplest possible model of single first order linear hyperbolic equation: ut+mux=0 with constant, coefficient m, and one space variable. The optimal version of the scheme, which is nonoscilating and unconditionally stable with respect to the initial and boundary conditions, is derived in the class of box schemes of the order at, least one. If apropriately iterated, this ścinane may be applied to general systems of quasilinear first order hyperbolic equations in one space variable, as an explicit, unconditionally stable solver. For more than one space variable this solver is applicable via splitting (see [3]).
Źródło:: Mathematica Applicanda; 1997, 26, 40
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Difference method for a nonlinear parabolic equation of second order in two space variables
Autorzy:: Kawecki, Roman
Powiązania:: https://bibliotekanauki.pl/articles/747916.pdf
Data publikacji:: 1990
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Finite difference methods
Stability and convergence of numerical methods
Opis:: .
A.C. Reynolds in his paper (1972) proposed a difference parametric method for solving the Fourier problem for a nonlinear parabolic equation of second order in one space variable. The paper presents a generalization of Reynolds’ method for the problem in two space variables with mixed derivatives. In this paper, Fourier problems for a general class of nonlinear parabolic equation, in QT = Q x [0, T], are studied. To solve this problem we construct a finite difference scheme with a real parameter. We prove that the solutions of certain associated finite difference equations are unique and converge to the solution of the initial-boundary value problem with 0(h^2) rate of convergence.
Źródło:: Mathematica Applicanda; 1990, 18, 32
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Matrices splitting the norm and their applications in the theory of stability of difference schemes
Autorzy:: Pokrzywa, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/747515.pdf
Data publikacji:: 1985
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Matrix norms, conditioning, scaling
Norms of matrices, numerical range, applications of functional analysis to matrix theory
Stability and convergence of difference methods
Opis:: .
In a finite-dimensional real or complex linear normed space X there are characterized all the sets of operators A1,...,An which sum up to the identity operator and such that ||Aix||+...+||Anx|=||x|| for all xX. An example of application in the theory of stability of difference schemes is given.
Źródło:: Mathematica Applicanda; 1985, 13, 26
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

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