Temat: difference functional inequalities - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Difference functional inequalities and applications
Autorzy:: Szafrańska, A.
Powiązania:: https://bibliotekanauki.pl/articles/255602.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: initial boundary value problems
difference functional inequalities
difference methods
stability and convergence
interpolating operators
error estimates
Opis:: The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
Źródło:: Opuscula Mathematica; 2014, 34, 2; 405-423
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Difference methods for infinite systems of hyperbolic functional differential equations on the Haar pyramid
Autorzy:: Jaruszewska-Walczak, D.
Powiązania:: https://bibliotekanauki.pl/articles/2050179.pdf
Data publikacji:: 2004
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: initial problems
infinite systems of differential functional equations
difference functional inequalities
nonlinear estimates of Perron type
Opis:: We consider the Cauchy problem for infinite system of differential functional equations $\partial_{t}z_{k}(t, x) = f_{k}(t, x, z, \partial_{x}z_{k}(t, x)), k \in \mathbf{N}$. In the paper we consider a general class of difference methods for this problem. We prove the convergence of methods under the assumptions that given functions satisfy the nonlinear estimates of the Perron type with respect to functional variables. The proof is based on functional difference inequalities. We constructed the Euler method as an example of difference method.
Źródło:: Opuscula Mathematica; 2004, 24, 1; 85-96
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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