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Fifth International Conference on Dynamic Systems and Applications
May 30 - June 2, 2007
Morehouse College
Atlanta, Georgia, USA

Organizers
M. Sambandham, Morehouse College, IFNA

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Runge-Kutta Methods for Quantum Stochastic Differential Equations
by
John O Adeyeye
Winston-Salem State University

We consider the extended and mixed Runge-Kutta methods for quantum stochastic differential equations (QSDE). We provide convergence proofs and numerical examples. We extend results for the classical Volterra integral equations of the second kind to the non-commutative setting of the integral form of quantum stochastic differential equations. Our analysis is carried out in the framework of Hudson-Parthasarathy calculus.

Date received: April 1, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauu-49.