Autor: Koch, O. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Efficient computation of the MCTDHF approximation to the time-dependent Schrodinger equation
Autorzy:: Koch, O.
Powiązania:: https://bibliotekanauki.pl/articles/255895.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: multi-configuration time-dependent Hartree-Fock method
time-dependent multi-particle Schrodinger equation
Coulomb potential
finite elements
Opis:: We discuss analytical and numerical properties of the multi-configuration time-dependent Hartree-Fock method for the approximate solution of the time-dependent multi-particle (electronic) Schrödinger equation which are relevant for an efficient implementation of this model reduction technique. Particularly, we focus on a discretization and Iow rank approximation in the evaluation of the meanfield terms occurring in the MCTDHF equations of motion, which is crucial for the computational tractability of the problem. We give error bounds for this approximation and demonstrate the achieved gain in performance.
Źródło:: Opuscula Mathematica; 2006, 26, 3; 483-497
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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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