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Mathematics


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Mathematics
Numeric Analysis


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Fixed-Point Algorithms for Inverse Problems in Science and Engineering
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
by Heinz H. Bauschke
Publisher Comments
"Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some ofthe most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied... (read more)

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Radon Series on Computational and Applied Mathematics #5: Robust Algebraic Multilevel Methods and Algorithms
Radon Series on Computational and Applied Mathematics #5: Robust Algebraic Multilevel Methods and Algorithms
by Johannes Kraus
Synopsis
This book deals with algorithms for the solution of linear systems of algebraic equations with large-scale sparse matrices, with a focus on problems that are obtained after discretization of partial differential equations using finite element methods... (read more)

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Asymptotic Expansions
Asymptotic Expansions
by Arthur Erdélyi
Publisher Comments
Originally prepared for the Office of Naval Research, this important monograph introduces various methods for the asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of... (read more)

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Principles of Numerical Analysis
Principles of Numerical Analysis
by Alston Householder
Publisher Comments
Computer science rests upon the building blocks of numerical analysis. This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. A... (read more)

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Springer Optimization and Its Applications #10: Nonsmooth Vector Functions and Continuous Optimization
Springer Optimization and Its Applications #10: Nonsmooth Vector Functions and Continuous Optimization
by V Jeyakumar
Publisher Comments
Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems, as well as variational inequalities in... (read more)

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Global Smoothness & Shape Preserving Int
Global Smoothness & Shape Preserving Int
by Sorin G Gal
Publisher Comments
This monograph examines in detail two aspects in the field of interpolation of functions -the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP). By considering well-known classical interpolation operators such... (read more)

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Theory of Birkhoff Interpolation
Theory of Birkhoff Interpolation
by Ying Guang Shi
Publisher Comments
Interpolation by polynomials is a very old subject. The first systematic work was due to Newton in the seventeenth century. Lagrange developed his formula only a little later. In 1878 Hermie introduced so called Hermite interpolation. In 1906 Birkhoff... (read more)

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ACTA Numerica #17: ACTA Numerica 2008: Volume 17
ACTA Numerica #17: ACTA Numerica 2008: Volume 17
by Arieh Iserles
Publisher Comments
Acta Numerica 2008 is a high-impact, prestigious, annual publication that contains invited surveys by leading researchers in numerical mathematics and scientific computing. These surveys present overviews of recent developments in their specific areas... (read more)

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Splines and Variational Methods
Splines and Variational Methods
by P M Prenter
Publisher Comments
One of the clearest available introductions to variational methods, this text requires only a minimal background in linear algebra and analysis. It explains the application of theoretic notions to the kinds of physical problems that engineers regularly... (read more)

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Infinite Sequences and Series
Infinite Sequences and Series
by Konrad Knopp
Publisher Comments
Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, tests for... (read more)

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From Quantum To Classical Molecular Dynamics Reduced Models & Numerical Analysis
From Quantum To Classical Molecular Dynamics Reduced Models & Numerical Analysis
by Christian Lubich
Publisher Comments
This text addresses such problems in quantum mechanics from the viewpoint of numerical analysis, illustrating them to a large extent on intermediate models between the Schrodinger equation of full many-body quantum dynamics and the Newtonian equations of... (read more)

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International Series in Operations Research & Management Science #170: Integrated Methods for Optimization
International Series in Operations Research & Management Science #170: Integrated Methods for Optimization
by John N Hooker
Publisher Comments
The first edition of Integrated Methods for Optimization was published in January 2007. Because the book covers a rapidly developing field, the time is right for a second edition. The book provides a unified treatment of optimization methods. It brings... (read more)

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Applied Mathematical Sciences #152: Front Tracking for Hyperbolic Conservation Laws
Applied Mathematical Sciences #152: Front Tracking for Hyperbolic Conservation Laws
by Helge Holden
Publisher Comments
XXX... (read more)

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Springer Optimization and Its Applications #8: Set-Valued Mappings and Enlargements of Monotone Operators
Springer Optimization and Its Applications #8: Set-Valued Mappings and Enlargements of Monotone Operators
by Regina Burachik
Publisher Comments
This is the first comprehensive book treatment of the emerging subdiscipline of set-valued mapping and enlargements of maximal monotone operators. It features several important new results and applications in the field. Throughout the text, examples help... (read more)

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Texts in Applied Mathematics #99: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements
Texts in Applied Mathematics #99: Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements
by Olaf Steinbach
Publisher Comments
Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods. Starting from the variational formulation of elliptic... (read more)

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Tractability of Multivariate Problems Volume 2 Standard Information for Functionals
Tractability of Multivariate Problems Volume 2 Standard Information for Functionals
by Erich Novak
Book News Annotation
This second volume of a comprehensive study of the tractability of multivariate problems deals with algorithms using standard information consisting of function values for the approximation of linear and selected nonlinear functional (such as in... (read more)

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Introduction to Applied Numerical Analysis (Dover Books on Mathematics)
Introduction to Applied Numerical Analysis (Dover Books on Mathematics)
by R. W. Hamming
Publisher Comments
This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an extensive range of topics includes round-off and... (read more)

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Front Tracking for Hyperbolic Conservation Laws
Front Tracking for Hyperbolic Conservation Laws
by Helge Holden
Publisher Comments
Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations, and in many applications in science and technology. In this book the reader is given a detailed, rigorous, and self-contained presentation of the theory... (read more)

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Numerical Solution of Nonlinear Boundary Value Problems with Applications
Numerical Solution of Nonlinear Boundary Value Problems with Applications
by Milan Kubicek
Publisher Comments
A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Topics include initial and boundary value... (read more)

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Cambridge Monographs on Applied and Computational Mathematic #20: Greedy Approximation
Cambridge Monographs on Applied and Computational Mathematic #20: Greedy Approximation
by Vladimir Temlyakov
Publisher Comments
This first book on greedy approximation gives a systematic presentation of the fundamental results. It also contains an introduction to two hot topics in numerical mathematics: learning theory and compressed sensing. Nonlinear approximation is becoming... (read more)

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