This paper proposes a novel hybrid FDTD method for solving the time-dependent Schrödinger equation, which is fundamental modeling materials and designing nanoscale devices. The wave function propagated on nonuniform grids by applying explicit updates in part of grid implicit elsewhere. latter are based Alternating-Direction Implicit (ADI) scheme while former constructed with central difference ...

Based on an unconditionally stable finite difference implicit scheme, we present a concept of deriving a class of effective alternating group explicit iterative method for periodic boundary value problem of convectiondiffusion equations, and then give two iterative methods. The methods are verified to be convergent, and have the property of parallelism. Furthermore we construct an alternating g...

Although explicit and implicit knowledge of language learners are essential to theoretical and pedagogical debates in second language acquisition (SLA), little research has addressed the effects of instructional interventions on the two knowledge types (R. Ellis, 2005).This study examined the relative effectiveness of explicit and implicit types of form-focused instruction (FFI) on the acquisit...

objectives: cerebral hemispheres functioning have been found to be abnormal in children with asd. the role of lateralization in implicit and explicit motor learning has received little attention in asd researches. the main goal of this study is investigating the differences between two hands implicit and explicit motor learning in children with asd and typical matched group. methods: in the pre...

In this paper, we present a high order implicit scheme for one dimension heat conduction equations. The scheme is proved to be unconditionally stable. Based on the scheme a class of parallel alternating group explicit iterative method (AGEI) is constructed, and convergence analysis for the method is done. Numerical experiments show that the method is effective in computation.

Based on a high order absolutely stable implicit scheme, we construct the alternating group explicit iterative method (AGEI) for four order parabolic equations. The method is verified to be convergent, and has the intrinsic parallelism. Results of the convergence analysis shows that the method is of high accuracy.

This research includes of the numerical modeling of fluids in two-dimensional cavity. The cavity flow is an important theoretical problem. In this research, modeling was carried out based on an alternating direction implicit via Vorticity-Stream function formulation. It evaluates different Reynolds numbers and grid sizes. Therefore, for the flow field analysis and prove of the ability of the sc...

In this paper, we present a four order unconditionally stable implicit scheme for hyperbolic equations. Based on the scheme a class of parallel alternating group explicit (AGE) iterative method is derived, and convergence analysis is given. Results of numerical experiments show the iterative method can fast converge to the exact solution. Mathematics Subject Classification: 65M06, 74S20

The numerical treatment of linear-quadratic regulator problems for parabolic partial differential equations (PDEs) on infinite time horizons requires the solution of large scale algebraic Riccati equations (ARE). The Newton-ADI iteration is an efficient numerical method for this task. It includes the solution of a Lyapunov equation by the alternating directions implicit (ADI) algorithm in each ...

williams, watts, macleod and mathews' (1988) model of anxiety and depression leads to the prediction that anxious patients will show mood – congreuent implicit memory bias, while depressed patients will show mood-congruent explicit memory bias.although this prediction has been supported by some researchers (denny & hunt, 1992 mathews, moog, et al , 1989 watkins, et al, 1992), the reliabili...