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Differentialgleichungen Und Numerik F R Informatiker Und Physiker


Differentialgleichungen Und Numerik F R Informatiker Und Physiker
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Differentialgleichungen Und Numerik F R Informatiker Und Physiker


Differentialgleichungen Und Numerik F R Informatiker Und Physiker
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Author : Henning Esser
language : de
Publisher:
Release Date : 1999

Differentialgleichungen Und Numerik F R Informatiker Und Physiker written by Henning Esser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




Numerik Gew Hnlicher Differentialgleichungen


Numerik Gew Hnlicher Differentialgleichungen
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Author : Karl Strehmel
language : de
Publisher: Springer-Verlag
Release Date : 2012-03-30

Numerik Gew Hnlicher Differentialgleichungen written by Karl Strehmel and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-30 with Mathematics categories.


Das Lehrbuch enthält eine umfangreiche und aktuelle Darstellung der numerischen Behandlung von Anfangswertproblemen gewöhnlicher Differentialgleichungen und differentiell-algebraischer Systeme. Neben theoretischen Fragestellungen werden praktische Aspekte der Implementierung und Anwendung von Verfahren und von Software diskutiert. Das Buch ist aus Vorlesungen und Seminaren hervorgegangen, die die Autoren über viele Jahre für Studenten an der Universität Halle gehalten haben.



Reduced Basis Methods For Partial Differential Equations


Reduced Basis Methods For Partial Differential Equations
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Author : Alfio Quarteroni
language : en
Publisher: Springer
Release Date : 2015-08-19

Reduced Basis Methods For Partial Differential Equations written by Alfio Quarteroni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-19 with Mathematics categories.


This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing. All these pseudocodes are in fact implemented in a MATLAB package that is freely available at https://github.com/redbkit



Scientific Computing With Matlab And Octave


Scientific Computing With Matlab And Octave
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Author : Alfio Quarteroni
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-30

Scientific Computing With Matlab And Octave 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 2010-05-30 with Mathematics categories.


Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game thatcomputersadoptwhenstoringandoperatingwith realandcomplex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raisedthrough exercises and examples, often stemming from s- ci?c applications.



Numerical Methods In Finance


Numerical Methods In Finance
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Author : L. C. G. Rogers
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-26

Numerical Methods In Finance written by L. C. G. Rogers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-26 with Business & Economics categories.


Numerical Methods in Finance describes a wide variety of numerical methods used in financial analysis.



Inexhaustibility


Inexhaustibility
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Author : Torkel Franzén
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-30

Inexhaustibility written by Torkel Franzén and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-30 with Mathematics categories.


Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the sixteenth publication in the Lecture Notes in Logic series, gives a sustained presentation of a particular view of the topic of Gödelian extensions of theories. It presents the basic material in predicate logic, set theory and recursion theory, leading to a proof of Gödel's incompleteness theorems. The inexhaustibility of mathematics is treated based on the concept of transfinite progressions of theories as conceived by Turing and Feferman. All concepts and results are introduced as needed, making the presentation self-contained and thorough. Philosophers, mathematicians and others will find the book helpful in acquiring a basic grasp of the philosophical and logical results and issues.



Topics In Galois Fields


Topics In Galois Fields
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Author : Dirk Hachenberger
language : en
Publisher: Springer Nature
Release Date : 2020-09-29

Topics In Galois Fields written by Dirk Hachenberger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-29 with Mathematics categories.


This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm. The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.



Evolution Equations


Evolution Equations
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Author : Gisele Ruiz Goldstein
language : en
Publisher: CRC Press
Release Date : 2019-04-24

Evolution Equations written by Gisele Ruiz Goldstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-24 with Mathematics categories.


Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li



A Certain Ambiguity


A Certain Ambiguity
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Author : Gaurav Suri
language : en
Publisher: Princeton University Press
Release Date : 2010-07-01

A Certain Ambiguity written by Gaurav Suri and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-01 with Fiction categories.


While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.



German Books In Print


German Books In Print
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Author :
language : de
Publisher:
Release Date : 1980

German Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Austria categories.