Modification of the alternating direction implicit method and connections with von Neumann's method

An Alternating Direction Implicit Method for Modeling of Fluid Flow

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...

A parallel alternating direction implicit preconditioning method *

Jiang, H. and Y.S. Wong, A parallel alternating direction implicit preconditioning method, Journal of Computational and Applied Mathematics 36 (1991) 209-226. The alternating direction implicit (ADI) iterative method is an efficient iterative method to solve systems of linear equations due to its extremely fast convergence. The AD1 method has also been used successfully as a preconditioner in s...

Solving Two-Dimensional Fuzzy Partial Dierential Equation by the Alternating Direction Implicit Method

An Alternating Direction Method

combination of a's yields the numerical coefficient for that combination. For example, in the summation for Su given in Table 2, 1/ao4 has as the ai*-1aB_*+i coefficient ai3a8 which, in turn, has the numerical coefficient 11. The ai2a3a6 combination has 2 ! X 1 ! X 1 ! as the product of the factorials of the exponents. If 11 X 3 ! X 1 ! is divided by 2 ! X 1 ! X 1 !, the result is 33 which is t...

Online Alternating Direction Method

Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization under linear constraints where the objective could be non-smooth. We introduce new proof techniques for ADM in the batch setting, which yields a O(1/T ) conve...