Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering

Chapter 1: A Family of Overlapping Schwarz Algorithms for Nonsymmetric and Indefinite Elliptic Problems, Xiao Chuan Cai Chapter 2: Domain Decomposition Methods for Wave Propagation Problems, Alfio Quarteroni Chapter 3: Domain Decomposition, Parallel Computing, and Petroleum Engineering, Petter Bjorstad and Terje Karstad Chapter 4: Parallel Implicit Methods for Aerodynamic Applications on Unstructured Grids, V. Venkatakrishnan Chapter 5: Newton Krylov Schwarz Methods Applied to the Tokamak Edge Plasma Fluid Equations, D.A. Knoll, P.R. McHugh, and V.A. Mousseau Chapter 6: Parallel Domain Decomposition Software, William Gropp and Barry Smith Chapter 7: Decomposition of Space Time Domains: Accelerated Waveform Methods, with Application to Semiconductor Device Simulation, Andrew Lumsdaine and Mark W. Reichelt Chapter 8: A Parallel Multi Level Solution Method for Large Markov Chains, Graham Horton Chapter 9: Optimizing Substructuring Methods for Repeated Right Hand Sides, Scalable Parallel Coarse Solvers, and Global/Local Analysis, Charbel Farhat Chapter 10: Parallel Implementation of a Domain Decomposition Method for Non Linear Elasticity Problems, Francois Xavier Roux Chapter 11: Fictitious Domain/Domain Decomposition Methods for Partial Differential Equations, Roland Glowinski, Tsorng Whay Pan, and Jacques Periaux Chapter 12: Multipole and Precorrected FFT Accelerated Iterative Methods for Solving Surface Integral Formulations of Three Dimensional Laplace Problems, K. Nabors, J. Phillips, F.T. Korsmeyer, and J. White Chapter 13: Linear Scaling Algorithms for Large Scale Electronic Structure Calculations, E.B. Stechel Chapter 14: Problem Decomposition in Quantum Chemistry, Hans Joachim Werner Chapter 15: Bound States of Strongly Coupled Multidimensional Molecular Hamiltonians by the Discrete Variable Representation Approach, Zlatko Bacic Chapter 16: Wave Operators and Active Subspaces: Tools for the Simplified Dynamical Description of Quantum Processes Involving Many Dimensional State Spaces, Georges Jolicard and John P. Killingbeck Chapter 17: Problem Decomposition Techniques in Quantum Mechanical Reactive Scattering, David W. Schwenke and Donald G. Truhlar.