Spectral/hp Element Methods for Computational Fluid Dynamics

by George Karniadakis, Spencer Sherwin

2013 · Oxford University Press, USA

Completely revised and expanded new edition covering the recent and significant progress in multi-domain spectral methods at both the fundamental and application level. Written by leading experts, it is a must-have for students, academics and practitioners in computational fluid mechanics and related fields.

Parallel Scientific Computing in C++ and MPI

by George Em Karniadakis, Robert M. Kirby II

2003 · Cambridge University Press

Numerical algorithms, modern programming techniques, and parallel computing are often taught serially across different courses and different textbooks. The need to integrate concepts and tools usually comes only in employment or in research - after the courses are concluded - forcing the student to synthesise what is perceived to be three independent subfields into one. This book provides a seamless approach to stimulate the student simultaneously through the eyes of multiple disciplines, leading to enhanced understanding of scientific computing as a whole. The book includes both basic as well as advanced topics and places equal emphasis on the discretization of partial differential equations and on solvers. Some of the advanced topics include wavelets, high-order methods, non-symmetric systems, and parallelization of sparse systems. The material covered is suited to students from engineering, computer science, physics and mathematics.