- 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