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1. Numerical Clifford Analysis for the Non-stationary Schrödinger Equation.

Author

Faustino, N. and Vieira, N.

Subjects
SCHRODINGER equation, FINITE differences, PARTIAL differential equations, NUMERICAL analysis, MATHEMATICS
Abstract

We construct a discrete fundamental solution for the parabolic Dirac operator which factorizes the non-stationary Schrödinger operator. With such fundamental solution we construct a discrete counterpart for the Teodorescu and Cauchy-Bitsadze operators and the Bergman projectors. We finalize this paper with convergence results regarding the operators and a concrete numerical example. [ABSTRACT FROM AUTHOR]

Published
2007
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