Temat: functional stability - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Numerical methods for hyperbolic differential functional problems
Autorzy:: Ciarski, R.
Powiązania:: https://bibliotekanauki.pl/articles/255099.pdf
Data publikacji:: 2008
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: functional differential equations
stability and convergence
Opis:: The paper deals with the initial boundary value problem for quasilinear first order partial differential functional systems. A general class of difference methods for the problem is constructed. Theorems on the error estimate of approximate solutions for difference functional systems are presented. The convergence results are proved by means of consistency and stability arguments. A numerical example is given.
Źródło:: Opuscula Mathematica; 2008, 28, 1; 29-46
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Numerical approximations of parabolic functional differential equations on unbounded domains
Autorzy:: Baranowska, Anna
Powiązania:: https://bibliotekanauki.pl/articles/745298.pdf
Data publikacji:: 2007
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: functional differential equations
stability and convergence
nonlinear estimates of the Perron type
Opis:: The paper is concerned with initial problems for nonlinear parabolic functional differential equations. A general class of difference methods is constructed. A theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type with an unknown function of several variables is presented. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given function satisfy nonlinear estimates of the Perron type with respect to a functional variable. Results obtained in the paper can be applied to differential integral problems and equations with retarded variables. Numerical examples are presented.
Źródło:: Commentationes Mathematicae; 2007, 47, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Numerical approximations of difference functional equations and applications
Autorzy:: Kamont, Z.
Powiązania:: https://bibliotekanauki.pl/articles/255105.pdf
Data publikacji:: 2005
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: functional differential equations
stability and convergence
interpolating operators
nonlinear estimates of Perron type
Opis:: We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type. We apply this general result in the investigation of the stability of difference schemes generated by nonlinear first order partial differential functional equations and by parabolic problems. We show that all known results on difference methods for initial or initial boundary value problems can be obtained as particular cases of this general and simple result. We assume that the right hand sides of equations satisfy nonlinear estimates of the Perron type with respect to functional variables.
Źródło:: Opuscula Mathematica; 2005, 25, 1; 109-130
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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