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A work on the use of Cell BE and GPUs as accelerators for numerical kernels, algorithms, and computational science and engineering applications. It covers a range of topics on the increased role of these accelerators in scientific computing.
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This book provides an overview of the standard topics of numerical analysis but uses R as the underlying programming language. There are many textbooks for numerical analysis, many of them using MATLAB, but many people are now increasingly using R. This book covers the major topi...cs - including error analysis, linear algebra, interpolation, integration, optimization, and differential equations - focussing in depth on a selection of sub-topics, with simple examples and R code integrated throughout. It is not intended to be a comprehensive textbook, but a reference to enable readers to get started on using R for numerical analysis.
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The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.
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The third edition of the book introduces the fundamentals of the finite element method through simple examples and an applications-oriented approach using the latest computational tools. Using the transport equation for heat transfer as the foundation for the governing equations,... text demonstrates the versatility of the method of weighted residuals for a wide range of applications including structural analysis and fluid flow. It introduces the boundary element method and meshless, or mesh-free, methods through two additonal chapters. User-friendly computer codes written in MATLAB, MAPLE and FORTRAN are listed.
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In geomechanics, existing design methods are very much dependent upon sophisticated on-site techniques to assess ground conditions. This book describes numerical analysis, computer simulation and modelling that can be used to answer some highly complex questions associated with g...eomechanics. The contributors, who are all international experts in the field, also give insights into the future directions of these methods. Numerical Analysis and Modelling in Geomechanics will appeal to professional engineers involved in designing and building both onshore and offshore structures, where geomechanical considerations may well be outside the usual codes of practice, and therefore specialist advice is required. Postgraduate researchers, degree students carrying out project work in this area will also find the book an invaluable resource.
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Explains how to use the bulk synchronous parallel (BSP) model and the BSPlib communication library in parallel algorithm design and parallel programming. This text contains an appendix on the message-passing interface (MPI). It is useful for graduate students and researchers in m...athematics, physics and computer science.
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Based on the proceedings of a conference on numerical analysis in fluid dynamics, this book brings together mathematicians and engineers in the field of computational aspects of fluid dynamics to review recent advances in mathematical and computational fluid techniques for modell...ing fluid flows.
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This text represents the proceedings of the Fourth International Congress on Industrial and Applied Mathematics, which took place in Edinburgh in 1999. The book includes talks from the 30 plenary speakers who between them covered the gamut of applied mathematics in various topics....
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Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, ne...tworks and many more. Yet, despite this, there is very little in the way of literature devoted to the development of numerical methods for PDMDs to solve problems of practical importance, or the computational control of PDMPs. This book therefore presents a collection of mathematical tools that have been recently developed to tackle such problems. It begins by doing so through examples in several application domains such as reliability. The second part is devoted to the study and simulation of expectations of functionals of PDMPs. Finally, the third part introduces the development of numerical techniques for optimal control problems such as stopping and impulse control problems.
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The Monte Carlo method is a numerical method of solving mathematical problems through random sampling. This work demonstrates how practical problems in science, industry, and trade can be solved using this method. It presents various examples of its application, including queuein...g, quality and reliability estimations and neutron transport.
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