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Domain Decomposition
Presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. Ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.
The Finest Peaks - Prominence and Other Mountain Measures
This book challenges the precedent that a mountain's worth scales with height. It is a rational synthesis of new concepts that compel one to reassess the popular "heightist mindset". The concept of prominence, loosely defined as a mountain's vertical relief, is a stiff competitor to summit height for assessing a mountain's stature and relative worth for innumerable purposes. The community of prominence theoreticians, list builders, and climbers has reached critical mass - suggesting publication of a book dedicated exclusively to prominence. Revolutions are not overnight. The heightist mindset has minimally a 100 year head start. Eventually the climbing community will embrace prominence. For ...
Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking
The present book provides guidance to understanding complicated coupled processes based on the experimental data available and implementation of developed algorithms in numerical codes. Results of selected test cases in the fields of closed-form solutions (e.g., deformation processes), single processes (such as groundwater flow) as well as coupled processes are presented. It is part of the OpenGeoSys initiative - an open source project to share knowledge and experience in environmental analysis and scientific computation with the community.
Handbook of Combinatorial Optimization
Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems,...
Proceedings
None
ICIAM 91
Proceedings -- Computer Arithmetic, Algebra, OOP.
Iterative Methods and Preconditioners for Systems of Linear Equations
Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives c...
USRA/RIACS
None
Trefethen's Index Cards
Acclaimed mathematician Lloyd N Trefethen, Professor of Numerical Analysis at Oxford University, has created an intellectual diary, marking the development of his interests and ideas, from his teenage years to the present. These thoughts stand as signposts, directing us through a mind that applies the same scientific discipline and rigor in everyday life as that needed for success in science and academia. Informative and entertaining, Professor Trefethen's Index Cards is a collage of observations of rare clarity, in subjects ranging from astronomy to family life, and from music to politics. The book will be of interest not only to other scientists and mathematicians, but to anyone in the general public interested in discerning how a scientific outlook informs the way we see broader issues in the societies we live in.
Parallel Solution of Partial Differential Equations
This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97IMA program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING." I would like to thank Petter Bj0rstad of the Institutt for Informatikk, University of Bergen and Mitchell Luskin of the School of Mathematics, University of Minnesota for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support mad...
