Biomedical subjects

G Avdelas

Publications and source records attributed to G Avdelas.

3 recordsLinked to original sources

PubMed2001

On variable-step methods for the numerical solution of Schrödinger equation and related problems.

In this paper we present a review for the construction of variable-step methods for the numerical integration of the Schrödinger equation. Phase-lag and stability are investigated. The methods are variable-step because of a simple natural error control mechanism. Numerical results obtained for coupled differential equations arising from the Schrödinger equation and for the wave equation show the validity of the approach presented.

Journal Article↗

PubMed2000

A generalization of Numerov's method for the numerical solution of the Schrodinger equation in two dimensions

In this paper generalizations of the well known Numerov's method are obtained. The local truncation errors of the new methods are presented and the result of the application of the new methods to a two-dimensional Schrodinger equation in an equal space discretization is presented. Numerical illustrations show the efficiency of the new methods compared with the known five-point formula in two coulombic potentials.

Journal Article↗

PubMed2000

Dissipative high phase-lag order numerov-type methods for the numerical solution of the Schrodinger equation

A generator of families of explicit hybrid methods with minimal phase lag is developed in this paper. The methods of the generator have algebraic order six. The main characteristic of the new methods is that they are dissipative, i.e., they are not symmetric and they have not an interval of periodicity. The generator is of dissipation order eight. Numerical results indicate that these new methods are more efficient than older ones, i.e., the property of the phase lag is more crucial than the nonempty interval of periodicity for the construction of the numerical methods for the numerical solution of the Schrodinger-type equations.

Journal Article↗