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Author	: Ralph E. Morganstern
Genre	: Numerical analysis
Release	: 2014-11-03
File Download	: 176
ISBN_10	: 1503071154
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These Lecture Slide Notes have been used over the past several years for a two-quarter graduate level sequence in numerical analysis. Part 1 covers introductory material on the Nature of Numerical Analysis, Root Finding Techniques, Polynomial Interpolation, Derivatives, and Integrals. Part 2 covers Ordinary Differential Equations and Numerical solutions to Linear Systems of Equations. Each slide stands alone to encapsulate a complete concept, algorithm, or theorem using a combination of equations, graphs, diagrams, illustrative tableaus, and comparison tables. The explanatory notes are placed directly below each slide in order to reinforce and give additional insight into the particular numerical technique or concept illustrated in the slide. Students have found this "Lecture Slide Note" format to be extremely useful in reviewing the concepts in preparation for an exam. This format is convenient for self-study; it covers the subject matter in a concise and easily accessible form using many visualizations. The Table of Contents serves to organize the slides in terms of the main numerical analysis topics covered and gives a complete list of slide Titles and their page numbers. A selection of Illustrative MatLab scripts is given in Appendix A. Finally, references to a number of standard text books are given, but there has been no attempt to make an exhaustive bibliography.

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Author	: John J.H. Miller
Genre	: Mathematics
Release	: 2012-12-02
File Download	: 280
ISBN_10	: 9780323141345
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Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to numerical analysis; interior regularity and local convergence of Galerkin finite element approximations for elliptic equations; and numerical estimates for the error of Gauss-Jacobi quadrature formulae. Some remarks on the unified treatment of elementary functions by microprogramming; application of finite difference methods to exploration seismology; and variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations are also presented. Other chapters cover realistic estimates for generic constants in multivariate pointwise approximation; matching of essential boundary conditions in the finite element method; and collocation, difference equations, and stitched function representations. This book will be of interest to practitioners in the fields of mathematics and computer science.

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Author	: Walter Gautschi
Genre	: Mathematics
Release	: 2011-12-07
File Download	: 588
ISBN_10	: 9780817682590
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Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

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Author	: F. B. Hildebrand
Genre	: Mathematics
Release	: 2013-04-26
File Download	: 669
ISBN_10	: 9780486318554
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Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.

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Book Details

Author	: John J.H. Miller
Genre	: Mathematics
Release	: 2012-12-02
File Download	: 280
ISBN_10	: 9780323141345
Format	: PDF, EPUB, And Audiobooks
Price	: FREE

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Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to numerical analysis; interior regularity and local convergence of Galerkin finite element approximations for elliptic equations; and numerical estimates for the error of Gauss-Jacobi quadrature formulae. Some remarks on the unified treatment of elementary functions by microprogramming; application of finite difference methods to exploration seismology; and variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations are also presented. Other chapters cover realistic estimates for generic constants in multivariate pointwise approximation; matching of essential boundary conditions in the finite element method; and collocation, difference equations, and stitched function representations. This book will be of interest to practitioners in the fields of mathematics and computer science.

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Author	: Research and Education Association
Genre	: Mathematics
Release	: 2015-04-24
File Download	: 128
ISBN_10	: 9780738672540
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Covers simultaneous linear systems and matrix methods, differential equations, Fourier transformations, partial differential equations, and Monte Carlo methods.

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Book Details

Author	: Royal Irish Academy
Genre	: Numerical analysis
Release	: 1975
File Download	: 266
ISBN_10	: UOM:39015015733598
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Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to ...

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Book Details

Author	: J. C. Butcher
Genre	: Mathematics
Release	: 2004-08-20
File Download	: 440
ISBN_10	: 9780470868263
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This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography.

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Book Details

Author	: J.M. McNamee
Genre	: Mathematics
Release	: 2013-07-19
File Download	: 728
ISBN_10	: 9780080931432
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Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub. It includes many other methods and topics as well and has a chapter devoted to certain modern virtually optimal methods. Additionally, there are pointers to robust and efficient programs. This book is invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic. First comprehensive treatment of Root-Finding in several decades with a description of high-grade software and where it can be downloaded Offers a long chapter on matrix methods and includes Parallel methods and errors where appropriate Proves invaluable for research or graduate course

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ISBN_10	: 818750448X
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