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ISBN: 9783540778516 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations. These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros.
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ISBN: 9783540778516 Year: 2008 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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ISBN: 9783540748939 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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This volume contains the contributions to the 9th International Workshop on Railway Noise, held Sept 04-08, 2007, in Munich, Germany. The workshop featured lectures by international leaders in the field of railway noise and vibration. All subjects relating to railway noise as noise sources (rolling noise, aerodynamic noise, bridge noise, sonic boom), prediction tools and theoretical models, new noise reduction, technology as well as ground-borne vibration are tackled.
Engineering sciences. Technology --- Computer. Automation --- algoritmen --- ingenieurswetenschappen --- numerieke analyse
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ISBN: 9780387781334 Year: 2008 Publisher: New York NY Springer New York
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Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and applications. Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continuously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter algorithms. This volume reflects the workshop "Software for Algebraic Geometry" held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit, ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications.
Geometry --- Numerical analysis --- Computer science --- landmeetkunde --- informatica --- informaticaonderzoek --- numerieke analyse
Book
ISBN: 9780387689180 Year: 2008 Publisher: New York NY Springer New York
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This book brings together linear algebra, numerical methods and an easy to use programming environment under Matlab (or Scilab). One of the key features of the book are the worked out examples and exercises at the end of each chapter. The reader is asked to do some numerical experiments in Matlab and then to prove the results theoretically. The book is a combination and update of two earlier French books by the authors. It is appropriate for both undergraduate and beginning graduate courses in mathematics as well as for working scientists and engineers as a self-study tool and reference.This book is about numerical linear algebra and focuses on practical algorithms for solving computer problems of linear algebra. Gregoire Allaire is a professor of Applied Mathematics at Ecole Polytechnique in France. Sidi Mahmoud Kaber is an associate professor at the Universite Pierre et Marie Curie in France.
Numerical analysis --- Mathematics --- lineaire algebra --- toegepaste wiskunde --- numerieke analyse
Book
ISBN: 9783540769675 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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This volume contains the lecture notes of the Third JETSET School on Jets from Young Stars focussing on Numerical MHD and Instabilities. The introductory lectures presented here cover the basic concepts of the numerical methods for the integration of hydrodynamic and magnetohydrodynamic equations and of the applications of these methods to the treatment of the instabilities relevant for the physics of stellar jets. The first part of the book contains an introduction to the finite difference and finite volume methods for computing the solutions of hyperbolic partial differential equations and a discussion of approximate Riemann solvers for both hydrodynamic and magnetohydrodynamic problems. The second part is devoted to the discussion of some of the main instability processes that may take place in stellar jets, namely: the Kelvin-Helmholtz, the radiative shock, the pressure driven and the thermal instabilities. Graduate students and young scientists will benefit from this book by learning how to use the fundamental tools used in computational astrophysical jet research.
Numerical analysis --- Astrophysics --- Computer. Automation --- astrofysica --- algoritmen --- numerieke analyse
Digital
ISBN: 9780387689180 Year: 2008 Publisher: New York, NY Springer New York
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Numerical analysis --- Mathematics --- lineaire algebra --- toegepaste wiskunde --- numerieke analyse
Digital
ISBN: 9780387781334 Year: 2008 Publisher: New York, NY Springer Science + Business Media, LLC
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Geometry --- Numerical analysis --- Computer science --- landmeetkunde --- informatica --- informaticaonderzoek --- numerieke analyse
Digital
ISBN: 9783540748939 Year: 2008 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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Engineering sciences. Technology --- Computer. Automation --- algoritmen --- ingenieurswetenschappen --- numerieke analyse
Digital
ISBN: 9783540769675 Year: 2008 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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Numerical analysis --- Astrophysics --- Computer. Automation --- astrofysica --- algoritmen --- numerieke analyse
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