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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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Offers a blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design.
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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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Suitable for students of science and engineering, this title shows that the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. It also helps them learn about errors that inevitably acc...ompany scientific computations and arms them with methods.
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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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A book on XFEM Concise that emphasises on practical applications.
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This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustra...te inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.
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Offers an overview of the progress achieved in the modelling of coupled phenomena, computational mathematics and mechanics, heat transfer, fluid-structure interactions, biomechanics, flow of mass and energy in porous media. This book provides a presentation of the worldwide numer...ical techniques, but applied to concrete, useful topics.
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