|
Book Description
This book provides a seamless approach to numerical algorithms, modern programming techniques and parallel computing. These concepts and tools are usually taught serially across different courses and different textbooks, thus observing the connection between them. The necessity of integrating these subjects usually comes after such courses are concluded (e.g., during a first job or a thesis project), thus forcing the student to synthesize what is perceived to be three independent subfields into one in order to produce a solution. The book includes both basic and advanced topics and places equal emphasis on the discretization of partial differential equations and on solvers. Advanced topics include wavelets, high-order methods, non-symmetric systems and parallelization of sparse systems. A CD-ROM accompanies the text.
George Em Karniadakis is Professor of Applied Mathematics at Brown University. In addition to pioneering spectral methods for unstructured grids, microfluidic simulations, and fast methods in uncertainty modeling, he has published more than 200 papers covering topics such as numerical methods, parallel computing, and various applications in fluid mechanics. He has co-autored two popular books.
Robert M. Kirby II is Assistant Professor of Computer Science at University of Utah. He Specializes in large-scale scientific computing and visualization, with particular focus on software design, parallel computing, and direct numerical simulation of flow--structure interactions.
|