Compendium of curves and approximating algebraic functions - ESDU

Издательство Springer, 2005, -342 pp. This book brings together two streams of research in mathematics and computing that were begun in the nineteenth century and made possible through results brought to fruition in the twentieth century. Methods for indefinite integration have been important ever since the invention of the calculus in the 1700s. In the 1800s Abel and Liouville began the earliest mathematical research on algorithmic methods on i...

Society for Industrial Mathematics, 2007. - 431 pages. Special functions arise in many problems of pure and applied mathematics, statistics, physics, and engineering. This book provides an up-to-date overview of methods for computing special functions and discusses when to use them in standard parameter domains, as well as in large and complex domains. The first part of the book covers convergent and divergent series, Chebyshev expansions, nu...

Springer, 2010. - 614 pages. The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergenc...

Cambridge, 2005 435 pp. NumericalMethods in EngineeringwithMATLAB® is a text for engineer- ing students and a reference for practicing engineers, especially those who wish to explore the power and ef?ciency ofMATLAB. Contents 1. Introduction to MATLAB. . 1 2. Systems of Linear Algebraic Equations. . 28 3. Interpolation and Curve Fitting. . 103 4. Roots of Equations. .143 5. Numerical Differentiation. . 182 6. Numerical Integration. . 200 7. Init...

Cambridge University Press, 2005, 434 pp. , second edition. Contents. Introduction to MATLAB. Systems of Linear Algebraic Equations. Interpolation and Curve Fitting. Roots of Equations. Numerical Differentiation. Numerical Integration. Initial Value Problems. Two-Point Boundary Value Problems. Symmetric Matrix Eigenvalue Problems. Introduction to Optimization. Appendices. Index.

Vanderbilt University Press, 1997. - 408 Pages. Refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. During the week of June 27-July 3, 1996, the Third International Conference on Curves and Surfaces was held in Chamonix-Mont-Blanc (France). It was organized by the Association Fran?aise d'Approximation (A. F. A.). The Conference was attended by 275 mathematicians from 26 different...

University of California at San Diego, 2005. - 180 pages. From the table of contents: A "Crash" Course in octave/Matlab; Solving Linear Systems; Finding Roots; Interpolation; Spline Interpolation; Approximating Derivatives; Integrals and Quadrature; Least Squares; Ordinary Differential Equations. rn

ISBN 0-521-43108-5. Cambridge University Press - 1018 pages. Contents: Solution of linear algebraic equations. Interpolation and extrapolation. Integration of functions. Evaluation of functions. Special functions. Random numbers. Sorting. Root finding and nonlinear sets of equations. Minimization or maximization of functions. Eigensystems. Fast Fourier Transform. Fourier and spectrum applications. Statistical description of data. Modeling of data...

Cambridge University, 2009. - 490 Pages. A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a well-established numerical procedure for all major classes of PDEs...

SIAM, 1991. This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-k...