Numerical Analysis and Scientific Computing for Partial Differential Equations and their Challenging Applications

This volume contains original contributions from worldwide eminent applied mathematicians, computer scientists and engineers on the state of the art developments and applications of numerical methods for Scientific Computing. With the emergence of advanced computational and information technologies the content of the book provides a overall perspective of the recent advances of numerical methods for solving theoretical and practical problems in science and engineering. Emphasis is put on mathematical modeling and simulation, numerical analysis, CFD, software for scientific computing, optimization and control and also their applications to a variety of real life problems, particularly in the fields of aeronautical engineering, nuclear engineering, software engineering , virtual reality and more recently in finance.This volume is aimed at the next generation of scientists, applied mathematicians, computer scientists, practitioners and engineers involved in Scientific Computing within the context of the challenging scientific, industrial, economic and societal problems of the 21st century.