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Multiscale, Nonlinear and Adaptive Approximation

2009-09-16 Mathematics
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Release : 2009-09-16
Genre : Mathematics
Kind : eBook
Book Rating : 136/5 ( reviews)

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Book Synopsis Multiscale, Nonlinear and Adaptive Approximation by : Ronald DeVore

Download or read book Multiscale, Nonlinear and Adaptive Approximation written by Ronald DeVore. This book was released on 2009-09-16. Available in PDF, EPUB and Kindle. Book excerpt: The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building the foundation for most efficient numerical algorithms for simulating complex phenomena.

Multiscale, Nonlinear and Adaptive Approximation

2010-04-29 Mathematics
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Release : 2010-04-29
Genre : Mathematics
Kind : eBook
Book Rating : 640/5 ( reviews)

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Book Synopsis Multiscale, Nonlinear and Adaptive Approximation by : Ronald DeVore

Download or read book Multiscale, Nonlinear and Adaptive Approximation written by Ronald DeVore. This book was released on 2010-04-29. Available in PDF, EPUB and Kindle. Book excerpt: The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen 's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building t.

Multiscale, Nonlinear and Adaptive Approximation II

2025-02-22 Mathematics
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Release : 2025-02-22
Genre : Mathematics
Kind : eBook
Book Rating : 010/5 ( reviews)

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Book Synopsis Multiscale, Nonlinear and Adaptive Approximation II by : Ronald DeVore

Download or read book Multiscale, Nonlinear and Adaptive Approximation II written by Ronald DeVore. This book was released on 2025-02-22. Available in PDF, EPUB and Kindle. Book excerpt:

Multiscale and Adaptivity: Modeling, Numerics and Applications

2012-01-06 Mathematics
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Release : 2012-01-06
Genre : Mathematics
Kind : eBook
Book Rating : 798/5 ( reviews)

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Book Synopsis Multiscale and Adaptivity: Modeling, Numerics and Applications by : Silvia Bertoluzza

Download or read book Multiscale and Adaptivity: Modeling, Numerics and Applications written by Silvia Bertoluzza. This book was released on 2012-01-06. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly. Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems. The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Approximation Algorithms for Complex Systems

2011-01-04 Mathematics
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Release : 2011-01-04
Genre : Mathematics
Kind : eBook
Book Rating : 760/5 ( reviews)

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Book Synopsis Approximation Algorithms for Complex Systems by : Emmanuil H Georgoulis

Download or read book Approximation Algorithms for Complex Systems written by Emmanuil H Georgoulis. This book was released on 2011-01-04. Available in PDF, EPUB and Kindle. Book excerpt: This book collects up-to-date papers from world experts in a broad variety of relevant applications of approximation theory, including dynamical systems, multiscale modelling of fluid flow, metrology, and geometric modelling to mention a few. The 14 papers in this volume document modern trends in approximation through recent theoretical developments, important computational aspects and multidisciplinary applications. The book is arranged in seven invited surveys, followed by seven contributed research papers. The surveys of the first seven chapters are addressing the following relevant topics: emergent behaviour in large electrical networks, algorithms for multivariate piecewise constant approximation, anisotropic triangulation methods in adaptive image approximation, form assessment in coordinate metrology, discontinuous Galerkin methods for linear problems, a numerical analyst's view of the lattice Boltzmann method, approximation of probability measures on manifolds. Moreover, the diverse contributed papers of the remaining seven chapters reflect recent developments in approximation theory, approximation practice and their applications. Graduate students who wish to discover the state of the art in a number of important directions of approximation algorithms will find this a valuable volume. Established researchers from statisticians through to fluid modellers will find interesting new approaches to solving familiar but challenging problems. This book grew out of the sixth in the conference series on "Algorithms for Approximation", which took place from 31st August to September 4th 2009 in Ambleside in the Lake District of the United Kingdom.

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