Numerical Mathematics Numerische Mathematik
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Numerical Mathematics
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Author : Günther Hämmerlin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Mathematics written by Günther Hämmerlin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
"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.
Lectures On Numerical Mathematics
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Author : H. Rutishauser
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Numerical Mathematics written by H. Rutishauser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Numerical Mathematics Numerische Mathematik
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Author : ANSORGE
language : de
Publisher: Springer-Verlag
Release Date : 2013-12-20
Numerical Mathematics Numerische Mathematik written by ANSORGE and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Science categories.
Numerical Mathematics
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Author : Gunther Hammerlin
language : en
Publisher:
Release Date : 1991-01-09
Numerical Mathematics written by Gunther Hammerlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-09 with categories.
Numerical Mathematics
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Author : Alfio Quarteroni
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-30
Numerical Mathematics written by Alfio Quarteroni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-30 with Mathematics categories.
This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. In the second edition of this extremely popular textbook on numerical analysis, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been
Numerical Mathematics Numerische Mathematik
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Author : Lothar Collatz
language : de
Publisher: Birkhäuser
Release Date : 1979
Numerical Mathematics Numerische Mathematik written by Lothar Collatz and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Juvenile Nonfiction categories.
Einf Hrung In Die Numerische Mathematik An Introduction To Numerical Mathematics Translated By Werner C Rheinboldt And Cornelie J Rheinboldt
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Author : Eduard Ludwig STIEFEL
language : en
Publisher:
Release Date : 1963
Einf Hrung In Die Numerische Mathematik An Introduction To Numerical Mathematics Translated By Werner C Rheinboldt And Cornelie J Rheinboldt written by Eduard Ludwig STIEFEL and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Numerische Methoden Der Approximationstheorie Numerical Methods Of Approximation Theory
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Author : Meinardus
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Numerische Methoden Der Approximationstheorie Numerical Methods Of Approximation Theory written by Meinardus and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Der vorliegende Band stellt Vortragsmanuskripte einer am Mathematischen Forschungsinstitut, Oberwolfach, in der Zeit vom 25. bis 31. Mai 1975 veran stalteten Tagung zusammen, die unter der Leitung der Unterzeichner stand. Die letzten dieser Tagungen über numerische Methoden der Approximations theorie fanden 1971 und 1973 statt - der Schwerpunkt lag bei Fragen der Numerik von Algorithmen zur Darstellung von Funktionen -, ließen aber bereits ein wachsendes Interesse an Anwendungen erkennen. Die diesjährige Tagung war gekennzeichnet durch die Behandlung praktischer AufgabensteI lungen sowie durch die Einbeziehung der Anwendungen aus Nachbargebie ten bzw. die Verwendung der Methoden dieser Gebiete in der Approxima tionstheorie, insbesondere wurde auch auf die Beziehungen von Optimierung und Kontrolltheorie zu speziellen approximationstheoretischen Aufgaben eingegangen. Der starke Einfluß auf die numerischen Methoden zur Behand lung von Differentialgleichungen wurde etwa bei der Methode der finiten Elemente oder bei Kollokationsaufgaben deutlich. So ist zu hoffen, daß auch diese Tagung dazu beigetragen hat, Theorie und Anwendungen wieder stärker zu verbinden. Die spezifische Atmosphäre des Forschungsinstituts stimulierte einen intensi ven, durch die breite internationale Streuung der Tagungsteilnehmer verstärk ten, fruchtbaren Gedankenaustausch. Zum Erfolg der Tagung trug - wie immer - die hervorragende Betreuung durch die Mitarbeiter und Angestellten des Forschungsinstituts und das verständnisvolle Entgegenkommen von Herrn Kollege Barner bei. Unser besonderer Dank gilt ferner dem Birkhäuser Verlag für die sehr gute Ausstattung des Buches. L. COLLATZ, G. MEINARDUS, H. WERNER Inhaltsverzeichnis ANSELONE, P.M., LEE, J.W. : Double Approximation Methods for the Solution of Fredholm Integral Equations ...
A Survey Of Numerical Mathematics
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Author : David M. Young
language : en
Publisher: Courier Corporation
Release Date : 1988-01-01
A Survey Of Numerical Mathematics written by David M. Young and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
Volume I of two-volume set offers broad self-contained coverage of computer-oriented numerical algorithms for solving mathematical problems related to linear algebra, ordinary and partial differential equations, and much more. 1972 edition.
The Concept Of Stability In Numerical Mathematics
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Author : Wolfgang Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-06
The Concept Of Stability In Numerical Mathematics written by Wolfgang Hackbusch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-06 with Mathematics categories.
In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.