Lectures On Numerical Mathematics

Author : H. Rutishauser
Publisher : Springer Science & Business Media
Page : 559 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461234685

Get Book

Lectures on Numerical Mathematics by H. Rutishauser Pdf

The present book is an edition of the manuscripts to the courses "Numerical Methods I" and "Numerical Mathematics I and II" which Professor H. Rutishauser held at the E.T.H. in Zurich. The first-named course was newly conceived in the spring semester of 1970, and intended for beginners, while the two others were given repeatedly as elective courses in the sixties. For an understanding of most chapters the funda mentals of linear algebra and calculus suffice. In some places a little complex variable theory is used in addition. However, the reader can get by without any knowledge of functional analysis. The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares prob lems, interpolation by polynomials, numerical quadrature, and approxima tion by Chebyshev series and by Remez' algorithm. The remaining chapters include the treatment of ordinary and partial differential equa tions, the iterative solution of linear equations, and a discussion of eigen value problems. In addition, there is an appendix dealing with the qd algorithm and with an axiomatic treatment of computer arithmetic.

Author : Heinz Rutishauser,Martin Gutknecht
Publisher : Unknown
Page : 546 pages
File Size : 46,5 Mb
Release : 1990-01-01
Category : Numerical analysis
ISBN : 3764334916

Get Book

Lectures on Numerical Mathematics by Heinz Rutishauser,Martin Gutknecht Pdf

Author : R. Glowinski
Publisher : Springer Science & Business Media
Page : 507 pages
File Size : 43,5 Mb
Release : 2008-01-22
Category : Mathematics
ISBN : 9783540775065

Get Book

Lectures on Numerical Methods for Non-Linear Variational Problems by R. Glowinski Pdf

When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.

Author : Eugene E. Tyrtyshnikov
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817681364

Get Book

A Brief Introduction to Numerical Analysis by Eugene E. Tyrtyshnikov Pdf

A logically organized advanced textbook, which turns the reader into an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful.

Author : I. P. Mysovskih
Publisher : Springer
Page : 344 pages
File Size : 42,8 Mb
Release : 2012-03-30
Category : Mathematics
ISBN : 9401174849

Get Book

Lectures on Numerical Methods by I. P. Mysovskih Pdf

The course of lectures on numerical methods (part I) given by the author to students in the numerical third of the course of the mathematics mechanics department of Leningrad State University is set down in this volume. Only the topics which, in the opinion of the author, are of the greatest value for numerical methods are considered in this book. This permits making the book comparatively small in size, and, the author hopes, accessible to a sufficiently wide circle of readers. The book may be used not only by students in daily classes, but also by students taking correspondence courses and persons connected with practical computa tion who desire to improve their theoretical background. The author is deeply grateful to V. I. Krylov, the organizer ofthe course on numerical methods (part I) at Leningrad State University, for his considerable assistance and constant interest in the work on this book, and also for his attentive review of the manuscript. The author is very grateful to G. P. Akilov and I. K. Daugavet for a series of valuable suggestions and observations. The Author Chapter I NUMERICAL SOLUTION OF EQUATIONS In this chapter, methods for the numerical solution of equations of the form P(x) = 0, will be considered, where P(x) is in general a complex-valued function.

Author : G.I. Marchuk
Publisher : Springer
Page : 536 pages
File Size : 55,5 Mb
Release : 1982-05-11
Category : Mathematics
ISBN : UOM:39015015732913

Get Book

Methods of Numerical Mathematics by G.I. Marchuk Pdf

The present volume is an adaptation of a series of lectures on numerical mathematics which the author has been giving to students of mathematics at the Novosibirsk State University during the span of several years. In dealing with problems of applied and numerical mathematics the author sought to focus his attention on those complicated problems of mathe matical physics which, in the course of their solution, can be reduced to simpler and theoretically better developed problems allowing effective algorithmic realization on modern computers. It is usually these kinds of problems that a young practicing scientist runs into after finishing his university studies. Therefore this book is pri marily intended for the benefit of those encountering truly complicated problems of mathematical physics for the first time, who may seek help regarding rational approaches to their solution. In writing this book the author has also tried to take into account the needs of scientists and engineers who already have a solid background in practical problems but who lack a systematic knowledge in areas of numerical mathematics and its more general theoretical framework.

Author : Francoise Chaitin-Chatelin,Valerie Fraysse
Publisher : SIAM
Page : 244 pages
File Size : 46,9 Mb
Release : 1996-01-01
Category : Mathematics
ISBN : 9780898713589

Get Book

Lectures on Finite Precision Computations by Francoise Chaitin-Chatelin,Valerie Fraysse Pdf

Mathematics of Computing -- Numerical Analysis.

Author : Ivan Petrovich Mysovskikh
Publisher : Unknown
Page : 0 pages
File Size : 45,7 Mb
Release : 1969
Category : Calculus
ISBN : LCCN:62067129

Get Book

Lectures on Numerical Methods by Ivan Petrovich Mysovskikh Pdf

Author : Sty&
Publisher : Unknown
Page : 244 pages
File Size : 54,8 Mb
Release : 2014-09-09
Category : Mathematics
ISBN : 160805943X

Get Book

Lecture Notes in Numerical Analysis with Mathematica by Sty& Pdf

"" Lecture Notes in Numerical Analysis with Mathematica" highlights most of the important algorithms and their solved examples by Mathematica.The contents of this book include chapters on floating point computer arithmetic, natural and generalized int"

Author : G. W. Stewart
Publisher : Cambridge University Press
Page : 216 pages
File Size : 41,7 Mb
Release : 1996
Category : Mathematics
ISBN : 0898713625

Get Book

Afternotes on Numerical Analysis by G. W. Stewart Pdf

This book presents the central ideas of modern numerical analysis in a vivid and straightforward fashion with a minimum of fuss and formality. Stewart designed this volume while teaching an upper-division course in introductory numerical analysis.

Author : Franco Brezzi
Publisher : Springer
Page : 331 pages
File Size : 54,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540393917

Get Book

Numerical Methods in Fluid Dynamics by Franco Brezzi Pdf

Author : LEVEQUE
Publisher : Birkhäuser
Page : 214 pages
File Size : 50,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783034851169

Get Book

Numerical Methods for Conservation Laws by LEVEQUE Pdf

These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.

Author : Иван Петрович Мысовских
Publisher : Springer
Page : 360 pages
File Size : 55,7 Mb
Release : 1969-10-12
Category : Mathematics
ISBN : UOM:39015017410500

Get Book

Lectures on Numerical Methods by Иван Петрович Мысовских Pdf

The course of lectures on numerical methods (part I) given by the author to students in the numerical third of the course of the mathematics mechanics department of Leningrad State University is set down in this volume. Only the topics which, in the opinion of the author, are of the greatest value for numerical methods are considered in this book. This permits making the book comparatively small in size, and, the author hopes, accessible to a sufficiently wide circle of readers. The book may be used not only by students in daily classes, but also by students taking correspondence courses and persons connected with practical computa tion who desire to improve their theoretical background. The author is deeply grateful to V. I. Krylov, the organizer ofthe course on numerical methods (part I) at Leningrad State University, for his considerable assistance and constant interest in the work on this book, and also for his attentive review of the manuscript. The author is very grateful to G. P. Akilov and I. K. Daugavet for a series of valuable suggestions and observations. The Author Chapter I NUMERICAL SOLUTION OF EQUATIONS In this chapter, methods for the numerical solution of equations of the form P(x) = 0, will be considered, where P(x) is in general a complex-valued function.

Author : Günther Hämmerlin,Karl-Heinz Hoffmann
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461244424

Get Book

Numerical Mathematics by Günther Hämmerlin,Karl-Heinz Hoffmann Pdf

"In truth, it is not knowledge, but learning, not possessing, but production, not being there, but travelling there, which provides the greatest pleasure. When I have completely understood something, then I turn away and move on into the dark; indeed, so curious is the insatiable man, that when he has completed one house, rather than living in it peacefully, he starts to build another. " Letter from C. F. Gauss to W. Bolyai on Sept. 2, 1808 This textbook adds a book devoted to applied mathematics to the series "Grundwissen Mathematik. " Our goals, like those of the other books in the series, are to explain connections and common viewpoints between various mathematical areas, to emphasize the motivation for studying certain prob lem areas, and to present the historical development of our subject. Our aim in this book is to discuss some of the central problems which arise in applications of mathematics, to develop constructive methods for the numerical solution of these problems, and to study the associated questions of accuracy. In doing so, we also present some theoretical results needed for our development, especially when they involve material which is beyond the scope of the usual beginning courses in calculus and linear algebra. This book is based on lectures given over many years at the Universities of Freiburg, Munich, Berlin and Augsburg.

Author : Fred Espen Benth,Dan Crisan,Paolo Guasoni,Konstantinos Manolarakis,Johannes Muhle-Karbe,Colm Nee,Philip Protter
Publisher : Springer
Page : 316 pages
File Size : 42,5 Mb
Release : 2013-07-11
Category : Mathematics
ISBN : 9783319004136

Get Book

Paris-Princeton Lectures on Mathematical Finance 2013 by Fred Espen Benth,Dan Crisan,Paolo Guasoni,Konstantinos Manolarakis,Johannes Muhle-Karbe,Colm Nee,Philip Protter Pdf

The current volume presents four chapters touching on some of the most important and modern areas of research in Mathematical Finance: asset price bubbles (by Philip Protter); energy markets (by Fred Espen Benth); investment under transaction costs (by Paolo Guasoni and Johannes Muhle-Karbe); and numerical methods for solving stochastic equations (by Dan Crisan, K. Manolarakis and C. Nee).The Paris-Princeton Lecture Notes on Mathematical Finance, of which this is the fifth volume, publish cutting-edge research in self-contained, expository articles from renowned specialists. The aim is to produce a series of articles that can serve as an introductory reference source for research in the field.