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.