1 Introduction. 1.1. Exploiting parallelism. 1.2. Parallel computers. 1.3. Performance evaluations -- 2. Parallel algorithms for solving PDE. 2.1. Discretization by finite difference method. 2.2. Parallel relaxation algorithms. 2.3. Parallel ADI algorithm. 2.4. Parallel multigri…
This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such th…
Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very …
This book presents the application of the overlapping grids approach to solve chiral material problems using the FDFD method. Due to the two grids being used in the technique, we will name this method as Double-Grid Finite Difference Frequency-Domain (DG-FDFD) method. As a resul…