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 …
"Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything…
"Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything…
