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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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Nonlinear elliptic problems are important to Mathematics, Science and Engineering. This is the first and only book to handle systematicly the different numerical methods for these problems. Several long open problems are solved here for the first time.
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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 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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This book focuses on broadly defined areas of chemical information science- with special emphasis on chemical informatics- and computer-aided molecular design. The computational and cheminformatics methods discussed, and their application to drug discovery, are essential for sust...aining a viable drug development pipeline.
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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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An innovative self-contained Analysis textbook for undergraduates, that takes advantage of proven successful educational techniques.
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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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This new work is an introduction to the numerical solution of the initial value problem for a system of ordinary differential equations. The first three chapters are general in nature, and chapters 4 through 8 derive the basic numerical methods, prove their convergence, study the...ir stability and consider how to implement them effectively. The book focuses on the most important methods in practice and develops them fully, uses examples throughout, and emphasizes practical problem-solving methods.
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A concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces and 3D domains, this book develops basic meshing algorithms to deal with problems with specific requirements such as adaptive and anisotropic meshing and mesh o...ptimization. It explains the fundamental of popular techniques, describing and illustrating each approach with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and strategies for generating anisotropic meshes. The authors provide illustrations of major meshing algortithms, pseudo codes and programming codes in C++ or FORTRAN.
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