Temat: linear problems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: New efficient time integrators for non-linear parabolic problems
Autorzy:: Bujanda, B.
Jorge, J. C.
Powiązania:: https://bibliotekanauki.pl/articles/255918.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: fractional step methods
non-linear parabolic problems
convergence
Opis:: In this work a new numerical method is constructed for time-integrating multidimensional parabolic semilinear problems in a very efficient way. The method reaches the fourth order in time and it can be combined with standard spatial discretizations of any order to obtain unconditionally convergent numerical algorithms. The main theoretical results which guarantee this property are explained here, as well as the method characteristics which guarantee a very strong reduction of computational cost in comparison with classical discretization methods.
Źródło:: Opuscula Mathematica; 2006, 26, 3; 407-419
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Regularity and existence of solutions to parabolic equations with nonstandard p(x,t),q(x,t)-growth conditions
Autorzy:: El Bahja, Hamid
Powiązania:: https://bibliotekanauki.pl/articles/29519471.pdf
Data publikacji:: 2023
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: existence theory
non-linear parabolic problems
non-standard growth
regularity theory
Opis:: We study the Cauchy–Dirichlet problem for a class of nonlinear parabolic equations driven by nonstandard p(x, t), q(x, t)-growth condition. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time $ L^\infty $ bounds for the weak solutions.
Źródło:: Opuscula Mathematica; 2023, 43, 6; 759-788
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations
Autorzy:: Auzinger, W.
Karner, E.
Koch, O.
Weinmuller, E.
Powiązania:: https://bibliotekanauki.pl/articles/255635.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: polynomial collocation
singular boundary value problems
linear and nonlinear eigenvalue problems
Opis:: We demonstrate that eigenvalue problems for ordinary differential equations can be recast in a formulation suitable for the solution by polynomial collocation. It is shown that the well-posedness of the two formulations is equivalent in the regular as well as in the singular case. Thus, a collocation code equipped with asymptotically correct error estimation and adaptive mesh selection can be successfully applied to compute the eigenvalues and eigenfunctions efficiently and with reliable control of the accuracy. Numerical examples illustrate this claim.
Źródło:: Opuscula Mathematica; 2006, 26, 2; 229-241
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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