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Books in Numerical analysis

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41-50 of 70 results in All results

Special Volume: Foundations of Computational Mathematics

  • 1st Edition
  • Volume 11
  • May 30, 2003
  • Phillipe G. Ciarlet
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 5 1 2 4 7 - 5
From geometric integration and its applications, and linear programming and condition numbers under the real number computational model, to chaos in finite difference schemes, these essays explore the foundational issues of computational mathematics.

Numerical Analysis of Wavelet Methods

  • 1st Edition
  • Volume 32
  • April 29, 2003
  • A. Cohen
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 7 8 5 - 6
Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory. 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.

Finite Element Method

  • 1st Edition
  • February 21, 2003
  • G.R. Liu + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 7 2 7 6 - 8
The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer.Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout.The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc.

Numerical Analysis: Historical Developments in the 20th Century

  • 1st Edition
  • November 30, 2001
  • C. Brezinski + 1 more
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 8 5 8 - 5
Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.

Operator Theory and Numerical Methods

  • 1st Edition
  • Volume 30
  • July 3, 2001
  • H. Fujita + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 8 0 2 - 0
In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true.

Handbook of Numerical Analysis

  • 1st Edition
  • Volume 7
  • November 21, 2000
  • Philippe G. Ciarlet
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 5 0 3 5 0 - 3
These volumes cover all the major aspects of numerical analysis. This particular volume discusses the solution of equations in Rn, Gaussian elimination, techniques of scientific computer, the analysis of multigrid methods, wavelet methods, and finite volume methods.

Difference Equations

  • 2nd Edition
  • May 5, 2000
  • Walter G. Kelley + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 4 0 3 3 3 0 - 6
Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics.

The Optimal Design of Chemical Reactors A Study in Dynamic Programming by Rutherford Aris

  • 1st Edition
  • Volume 3
  • April 1, 2000
  • Rutherford Aris
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 7 7 9 - 1
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

Comparison and Oscillation Theory of Linear Differential Equations by C A Swanson

  • 1st Edition
  • Volume 48
  • April 1, 2000
  • C. A. Swanson
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 5 5 6 - 8
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.