(1) Department of Mathematics, The University of Alabama-University, 35487, AL, USA;(2) Department of Mathematics, University of Houston, 4800 Calhoun Road, 77004 Houston, TX, USA
Abstract:
Pathwise approximate solutions to the Zakai nonlinear filtering equation are analyzed and computed through operator splitting
techniques. Several examples are presented to test the performances of the operator splitting algorithms.
The work of R. Glowinski was supported by the U.S. Army Research Office under Contract DAAL03-86-K-0138 and by NSF via Grant
INT-8612680.