Parallel Computing: Numerics, Applications, and Trends

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.

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 allchapters

• 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.