Half-sweep algebraic multigrid (HSAMG) method applied to diffusion equations

In previous studies, the efficiency of the Half-Sweep Multigrid (HSMG) method has been shown to be very fast as compared with the standard multigrid method. This is due to its ability to reduce computational complexity of the standard method. In this paper, the primary goal is to propose the Half-Sweep Algebraic Multigrid (HSAMG) method using the HSCN finite difference scheme for solving two-dimensional diffusion equations. The formulation of the HSAMG scheme is derived by borrowing the concept of the HSMG method. Results on some numerical experiments conducted show that the HSAMG method is superior to the standard algebraic method

Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations

The objective of this paper is to analyse the application of the Half-Sweep Gauss-Seidel (HSGS) method by using the Half-sweep approximation equation based on central difference (CD) and repeated trapezoidal (RT) formulas to solve linear fredholm integro-differential equations of first order. The formulation and implementation of the Full-Sweep Gauss-Seidel (FSGS) and Half- Sweep Gauss-Seidel (HSGS) methods are also presented. The HSGS method has been shown to rapid compared to the FSGS methods. Some numerical tests were illustrated to show that the HSGS method is superior to the FSGS method