Introduction

Abstract

Due to advancement in computer technology and availability of efficient numerical algorithms, scientific computing has become an essential tool for scientists and engineers in academia as well as in industry. Most of the natural and physical processes are modeled mathematically by a system of nonlinear Partial Differential Equations (PDEs). Because of the complexity of the PDEs or of the application domains, analytical solutions to these equations do not exist in general. The only way out is to look for approximate numerical solutions. Therefore, PDE-simulation is wide spread in scientific and engineering applications. As progress has been made in scientific computing tools, more and more accurate, and hence more complex, PDE-system is being considered for model prediction.