In this paper, we introduce the new class of implicit L-stable generalized hybrid methods for the numerical solution of first order initial value problems. We generalize the hybrid methods with utilize ynv directly in the right hand side of classical hybrid methods. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the n...

Many problems, in diverse areas of science and engineering, involve the solution largescale sparse systems linear equations. In most these scenarios, they are also a computational bottleneck, therefore their efficient on parallel architectureshas motivated tremendous volume research.This dissertation targets use GPUs to enhance performance using iterative methods complemented with state-of-the-...