In this paper, a Laplace transform decomposition algorithm (LTDA) is proposed to solve the Riccati equation. Comparisons are made among the homotopy perturbation method (HPM), the Adomian decomposition method (ADM) and the proposed method. It is shown that the homotopy perturbation method with a specific convex homotopy is equivalent to the Adomian decomposition method and the Laplace transform...

A domain decomposition approach for the parallelization of the Wigner Monte Carlo method allows the huge memory requirements to be distributed amongst many computational units, thereby making large multidimensional simulations feasible. Two domain decomposition techniques—a uniform slab and uniform block decomposition—are compared and the design and implementation of the block decomposition app...

Decision table decomposition is a method that decomposes given decision table into an equivalent set of decision tables. Decomposition can enhance the quality of knowledge discovered from databases by simplifying the data mining task. The paper contains a description of decision table decomposition method and their evaluation for data classification. Additionally, a novel method of obtaining at...

The potential energy hyper surfaces (FES) of the unimolecular rearrangements of a) Nitromethane itei totrans acknitromethane b) nitrometharie (/) to methyl nitrite (3) and c) naromethane decomposition tomethyl and nitrogen dioxide were searched using the ab !nth° MP2 method. Split valence 6-310(d.p) basisset was used for geometry optimizations, frequency and 1RC computations along each reaction...

We present a domain decomposition technical for computing the quantum transport phenomena in complex nano-structures. In regular sub-domains, the subband decomposition method is applied, while the finite difference method is used on small irregular sub-domains where the subband decomposition is not applicable. This new approach preserves the efficiency of the original subband decomposition meth...