Parallel Computing : Numerics, Applications, and Trends

Advancements in microprocessor architecture, interconnection technology, and software development have fueled rapid growth in parallel and distributed computing. However, this development is only of practical benefit if it is accompanied by progress in the design, analysis and application aspects of parallel algorithms. In particular, new approaches from parallel numerics are important for solving complex computational problems on parallel and/or distributed systems. This concise survey presents the latest achievements in parallel and distributed computing. The editors emphasize presentation of the theoretical discussion of each method in the context of its application, with particular focus applied to the subject of modeling physical phenomena by partial differential equations (PDEs), including the development of algorithms for different applications (such as financial prediction, and medical simulations). Internationally renowned experts in the field provide contributions focusing on topics relating to the latest trends in parallel computing. These range from parallel algorithmics, programming, tools, and network computing to future parallel computing. Particular attention is paid to parallel numerics: linear algebra, differential equations, numerical integration, number theory, and their application in computer simulations. Features: • Presents a comprehensive introductory chapter, outlining advances and trends in parallelism • Discusses the development of algorithms for different applications, plus other aspects related to the parallel numerical solution of PDEs • Investigates other numerical applications, such as data retrieval by linear algebra approach, and quasi-Monte Carlo methods • Explores molecular dynamics, computational quantum physics, the analysis of biosignals, and image and video coding • Provides helpful overviews and conclusions for all chapters • Concludes with a thorough chapter on the future of parallel computing This invaluable text/reference presents the state of the art in parallel and distributed computing. The book is a must-read for all scientists who wish to design and implement efficient solutions on parallel and distributed computer systems, as well as for mathematicians dealing with numerical applications and computer simulations of natural phenomena. Dr. Roman Trobec is an Assistant Professor at the Department of Communication Systems of the Jozef Stefan institute, Slovenia. Dr. Marian Vajteršic and Dr. Peter Zinterhof are Professors at the Department of Computer Sciences of the University of Salzburg, Austria. The use of parallel programming and architectures is essential for simulating and solving problems in modern computational practice. There has been rapid progress in microprocessor architecture, interconnection technology and software devel- ment, which are in?uencing directly the rapid growth of parallel and distributed computing. However, in order to make these bene?ts usable in practice, this dev- opment must be accompanied by progress in the design, analysis and application aspects of parallel algorithms. In particular, new approaches from parallel num- ics are important for solving complex computational problems on parallel and/or distributed systems. The contributions to this book are focused on topics most concerned in the trends of today's parallel computing. These range from parallel algorithmics, progr- ming, tools, network computing to future parallel computing. Particular attention is paid to parallel numerics: linear algebra, differential equations, numerical integ- tion, number theory and their applications in computer simulations, which together form the kernel of the monograph. We expect that the book will be of interest to scientists working on parallel computing, doctoral students, teachers, engineers and mathematicians dealing with numerical applications and computer simulations of natural phenomena.

Physics of Optoelectronics focuses on the properties of optical fields and their interaction with matter. Understanding that lasers, LEDs, and photodetectors clearly exemplify this interaction, the author begins with an introduction to lasers, LEDs, and the rate equations, then describes the emission and detection processes.

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This volume supplements the description of lasers and LEDs by examining the fundamental nature of the light that these devices produce. It includes an analysis of quantized electromagnetic fields and illustrates inherent quantum noise in terms of Poisson and sub-Poisson statistics. It explains matter-light interaction in terms of time-dependent perturbation theory and Fermi's golden rule, and concludes with a detailed discussion of semiconductor emitters and detectors.

Front Matter....Pages I-XXIV Overview – Parallel Computing: Numerics, Applications, and Trends....Pages 1-42 Introduction to Parallel Computation....Pages 43-80 Tools for Parallel and Distributed Computing....Pages 81-115 Grid Computing....Pages 117-145 Parallel Structured Adaptive Mesh Refinement....Pages 147-173 Applications and Parallel Implementation of QMC Integration....Pages 175-215 Parallel Evolutionary Computation Framework for Single- and Multiobjective Optimization....Pages 217-240 WaLBerla: Exploiting Massively Parallel Systems for Lattice Boltzmann Simulations....Pages 241-260 Parallel Pseudo-Spectral Methods for the Time-Dependent Schrödinger Equation....Pages 261-279 Parallel Approaches in Molecular Dynamics Simulations....Pages 281-305 Parallel Computer Simulations of Heat Transfer in Biological Tissues....Pages 307-358 Parallel SVD Computing in the Latent Semantic Indexing Applications for Data Retrieval....Pages 359-395 Short-Vector SIMD Parallelization in Signal Processing....Pages 397-433 Financial Applications: Parallel Portfolio Optimization....Pages 435-469 The Future of Parallel Computation....Pages 471-510 Back Matter....Pages 511-519 Parker concentrates on the properties of optical fields and their interaction with matter in this text, summarizing and reviewing the mathematical background of the quantum theory embodied in the Hilbert space. He begins by describing semiconductor lasers and laser dynamics, then proceeds to classical electromagnetics and lasers, the mathematical f Focuses on development of efficient parallel computational methods for different scientific and technical applications. This title discusses development of algorithms for different applications and other aspects related to parallel numerical solution of PDEs (eg, grid refinement). It covers molecular dynamics and computational quantum physics CD-Rom contains: ECE 591 Lectures for Spring 2003