A Poisson-type equation arising in a commonly used numerical weather forecasting model is solved using an alternating direction implicit (ADI) method with Wachpress optimum parameters on a trapezoidal domain which coincides with the operational forecast domain. Various optimum parameter sequences were obtained for the corresponding squares which enclose the region under consideration, computati...

In this paper, some new approaches are proposed for moving boundary/interface problems, particularly for the Stefan problems and the problem of unstable crystal growth. We will focus on the issues of accuracy and speed-up. A modiied Crank-Nicolson method which is second order accurate and stable is developed. The ADI (alternating implicit directional method) is also developed to speed up the si...

The interrelationship between the Autism Diagnostic Interview-Revised (ADI-R), Autism Diagnostic Observation Schedule-Generic (ADOS-G) and clinical classification was studied in 184 children and adolescents with Mental Retardation (MR). The agreement between the ADI-R and ADOS-G was fair, with a substantial difference between younger and older children (5-8 vs. 8+ years). Compared with the Diag...

For large scale problems, an effective approach for solving the algebraic Lyapunov equation consists of projecting the problem onto a significantly smaller space and then solving the reduced order matrix equation. Although Krylov subspaces have been used for long time, only more recent developments have shown that rational Krylov subspaces can be a competitive alternative to the classical and v...

Adipsic diabetes insipidus (ADI) is a rare disorder. It can occur after transcranial surgery for craniopharyngeoma, suprasellar pituitary adenoma and anterior communicating artery aneurysm but also with head injury, toluene exposure and developmental disorders. It is often associated with significant hypothalamic dysfunction and complications like obesity, sleep apnea, thermoregulatory disorder...

A tensor-product higher-order space-time discontinuous-Galerkin method is extended to unstructured element shapes. The use of a tensor-product formulation is key to maintaining efficiency at high polynomial orders. The discrete system of equations arising at each space-time slab is solved using a Jacobian-free Newton-Krylov scheme. An alternatingdirection-implicit (ADI) preconditioner for hexah...

In this paper we describe the 3-D Telegraph Equation (3-DTEL) with the use of Alternating Direction Implicit (ADI) method on Geranium Cadcam Cluster (GCC) with Message Passing Interface (MPI) parallel software. The algorithm is presented by the use of Single Program Multiple Data (SPMD) technique. The implementation is discussed by means of Parallel Design and Analysis with the use of Domain De...

We consider the problem of acceleration of the Alternative Directions Implicit (ADI) scheme for Dirichlet problem for biharmonic equation. The second Douglas scheme is used as the main vehicle and two full time steps are organised in a single iteration unit in which the explicit operators are arranged differently for the second step. Using an a priori estimate for the spectral radius of the ope...

This paper deals with the numerical solution of the Heston partial differential equation (PDE) that plays an important role in financial option pricing theory, Heston (1993). A feature of this time-dependent, twodimensional convection-diffusion-reaction equation is the presence of a mixed spatial-derivative term, which stems from the correlation between the two underlying stochastic processes f...

Arginine deiminase (ADI)-based arginine depletion is a novel strategy under clinical trials for the treatment of malignant melanoma with promising results. The sensitivity of melanoma to ADI treatment is based on its auxotrophy for arginine due to a lack of argininosuccinate synthetase (AS) expression, the rate-limiting enzyme for the de novo biosynthesis of arginine. We show here that AS expre...