On refinement strategies for solving $${\textsc {MINLP}\mathrm{s}}$$ by piecewise linear relaxations: a generalized red refinement

Mesh Refinement Strategies for Solving Singularly Perturbed Reaction-Diffusion Problems

we consider the numerical approximation of a singularly perturbed reaction-diffusion problem over a square. Two different. approaches are compared namely: adaptive isotropic mesh refinement and anisotropic mesh refinement. Thus, we compare the h-refinement and the Shishkin mesh approaches numerically with PLTMG software [l]. It is shown how isotropic elements lead to over-refinement. and how an...

Refinement of Generalized Jacobi (RGJ) Method for Solving System of Linear Equations

In this paper Refinement of Generalized Jacobi (RGJ) method for solving systems of linear algebraic equations is proposed and its convergence is discussed. Few numerical examples are considered to show the efficiency of the Refinement of Generalized Jacobi method over generalized Jacobi method. Mathematics Subject Classification: 65F10, 65F50

LU-Decomposition with Iterative Refinement for Solving Sparse Linear Systems

In the solution of a system of linear algebraic equations Ax = b with a large sparse coefficient matrix A, the LU-decomposition with iterative refinement (LUIR) is compared with the LU-decomposition with direct solution (LUDS), which is without iterative refinement. We verify by numerical experiments that the use of sparse matrix techniques with LUIR may result in a reduction of both the comput...

Anytime Solving by Solution Refinement By

Date ACKNOWLEDGMENTS Completing a thesis is impossible to achieve without support. I would like to thank Professor Wheeler Ruml, my thesis advisor, for his guidance and support through the process. His influence in instruction, group research, and personal research is invaluable. I would like to give a special thanks to Ethan Burns who provided the thoughtfully crafted search framework that I u...

Refinement equations for generalized translations