Cambridge Monographs on Applied and Computational Mathematics – serie
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55 produkter
Radial Basis Functions
Theory and Implementations
Häftad, 2009
908 kr
Lägg i varukorg
In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing, it is necessary to estimate parameters, usually multidimensional, by approximation and interpolation. Radial basis functions are a powerful tool which work well in very general …
The Numerical Solution of Integral Equations of the Second Kind
Häftad, 2009
859 kr
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This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. …
Orthogonal Rational Functions
Av Adhemar Bultheel, Pablo Gonzalez-Vera m. fl.
Häftad, 2009
764 kr
Lägg i varukorg
This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the …
Scattered Data Approximation
Häftad, 2010
1090 kr
Lägg i varukorg
Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and …
Topology for Computing
Häftad, 2009
911 kr
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The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of …
Generalized Riemann Problems in Computational Fluid Dynamics
Av Matania Ben-Artzi, Joseph Falcovitz
Häftad, 2011
764 kr
Lägg i varukorg
Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The …
Curve and Surface Reconstruction
Algorithms with Mathematical Analysis
Av Tamal K. Dey
Häftad, 2011
748 kr
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Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this …
Iterative Krylov Methods for Large Linear Systems
Häftad, 2009
976 kr
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Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a …
Modern Computer Arithmetic
Av Richard P. Brent, Paul Zimmermann
Inbunden, 2010
1710 kr
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Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the …
High-Order Methods for Incompressible Fluid Flow
Av M. O. Deville, P. F. Fischer m. fl.
Inbunden, 2002
2622 kr
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High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in …
Dynamical Systems and Numerical Analysis
Av Andrew Stuart, A. R. Humphries
Inbunden, 1996
2084 kr
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This 1996 book unites the study of dynamical systems and numerical solution of differential equations. The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated …
The Numerical Solution of Integral Equations of the Second Kind
Av Kendall E. Atkinson, Philippe G. Ciarlet m. fl.
Inbunden, 1997
1905 kr
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This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. …
Radial Basis Functions
Theory and Implementations
Inbunden, 2003
1856 kr
Lägg i varukorg
In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing, it is necessary to estimate parameters, usually multidimensional, by approximation and interpolation. Radial basis functions are a powerful tool which work well in very general …
Level Set Methods and Fast Marching Methods
Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science
Häftad, 1999
993 kr
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This new edition of Professor Sethian's successful text provides an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. They rely on a fundamental shift in how one views moving …
Dynamical Systems and Numerical Analysis
Av Andrew Stuart, A. R. Humphries
Häftad, 1998
1449 kr
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This 1996 book unites the study of dynamical systems and numerical solution of differential equations. The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated …
A Practical Guide to Pseudospectral Methods
Av Bengt Fornberg, Philippe G. Ciarlet m. fl.
Häftad, 1998
764 kr
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Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of …
Orthogonal Rational Functions
Av Adhemar Bultheel, Pablo Gonzalez-Vera m. fl.
Inbunden, 1999
2247 kr
Lägg i varukorg
This book generalises the classical theory of orthogonal polynomials on the complex unit circle, or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the …
Geometry and Topology for Mesh Generation
Häftad, 2006
725 kr
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The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The motivation for these topics is the difficulty, both conceptually and in the technical execution, of combining elements of combinatorial and of numerical algorithms. …
Simulating Hamiltonian Dynamics
Av Benedict Leimkuhler, Sebastian Reich
Inbunden, 2005
1090 kr
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Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to …
Generalized Riemann Problems in Computational Fluid Dynamics
Av Matania Ben-Artzi, Joseph Falcovitz
Inbunden, 2003
2312 kr
Lägg i varukorg
Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The …
Spectral Methods for Time-Dependent Problems
Av Jan S. Hesthaven, Sigal Gottlieb m. fl.
Inbunden, 2007
1561 kr
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Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or …
Geometry and Topology for Mesh Generation
Av Herbert Edelsbrunner, Philippe G. Ciarlet m. fl.
Inbunden, 2001
1987 kr
Lägg i varukorg
The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The motivation for these topics is the difficulty, both conceptually and in the technical execution, of combining elements of combinatorial and of numerical algorithms. …
Collocation Methods for Volterra Integral and Related Functional Differential Equations
Inbunden, 2004
3051 kr
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Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present …
Schwarz-Christoffel Mapping
Av Tobin A. Driscoll, Lloyd N. Trefethen
Inbunden, 2002
3,0 utav 5 stjärnor. Totalt antal röster: (1)
1025 kr
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This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of …
Topology for Computing
Av Afra J. Zomorodian, Philippe G. Ciarlet m. fl.
Inbunden, 2005
1970 kr
Lägg i varukorg
The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of …
Scattered Data Approximation
Inbunden, 2004
1928 kr
Lägg i varukorg
Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and …
A Practical Guide to the Invariant Calculus
Inbunden, 2010
1367 kr
Lägg i varukorg
This book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of generators of algebras of differential invariants, and the relations they satisfy, are discussed in …
Curve and Surface Reconstruction
Algorithms with Mathematical Analysis
Av Tamal K. Dey
Inbunden, 2006
1391 kr
Lägg i varukorg
Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this …
Algebraic Geometry and Statistical Learning Theory
Inbunden, 2009
1425 kr
Lägg i varukorg
Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used statistical models and learning machines applied to information science have a parameter space that is singular: mixture models, neural networks, HMMs, Bayesian …
Learning Theory
An Approximation Theory Viewpoint
Av Felipe Cucker, Ding Xuan Zhou
Inbunden, 2007
1391 kr
Lägg i varukorg
The goal of learning theory is to approximate a function from sample values. To attain this goal learning theory draws on a variety of diverse subjects, specifically statistics, approximation theory, and algorithmics. Ideas from all these areas blended to form a subject whose many successful …
