Splitting Extrapolation Methodthe A New Technique In Numerical Solution Of Multidimensional Prob

Author : C B Liem
Publisher : World Scientific
ISBN 13 : 9814500593
Total Pages : 337 pages
Book Rating : 4.93/5 ( download)

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Download or read book Splitting Extrapolation Method,the: A New Technique In Numerical Solution Of Multidimensional Prob written by C B Liem and published by World Scientific. This book was released on 1995-09-30 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.

Author : C. B. Liem
Publisher : World Scientific
ISBN 13 : 9789810222178
Total Pages : 344 pages
Book Rating : 4.73/5 ( download)

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Download or read book The Splitting Extrapolation Method written by C. B. Liem and published by World Scientific. This book was released on 1995 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.

Author : Jochen Garcke
Publisher : Springer
ISBN 13 : 331928262X
Total Pages : 336 pages
Book Rating : 4.26/5 ( download)

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Download or read book Sparse Grids and Applications - Stuttgart 2014 written by Jochen Garcke and published by Springer. This book was released on 2016-03-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of LNCSE is a collection of the papers from the proceedings of the third workshop on sparse grids and applications. Sparse grids are a popular approach for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different guises, are frequently the method of choice, be it spatially adaptive in the hierarchical basis or via the dimensionally adaptive combination technique. Demonstrating once again the importance of this numerical discretization scheme, the selected articles present recent advances on the numerical analysis of sparse grids as well as efficient data structures. The book also discusses a range of applications, including uncertainty quantification and plasma physics.

Author : Hans P. Langtangen
Publisher : Springer Science & Business Media
ISBN 13 : 3642571727
Total Pages : 362 pages
Book Rating : 4.25/5 ( download)

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Download or read book Advances in Software Tools for Scientific Computing written by Hans P. Langtangen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: To make full use of the ever increasing hardware capabilities of modern com puters, it is necessary to speedily enhance the performance and reliability of the software as well, and often without having a suitable mathematical theory readily available. In the handling of more and more complex real-life numerical problems in all sorts of applications, a modern object-oriented de sign and implementation of software tools has become a crucial component. The considerable challenges posed by the demand for efficient object-oriented software in all areas of scientific computing make it necessary to exchange ideas and experiences from as many different sources as possible. Motivated by the success of the first meeting of this kind in Norway in 1996, we decided to organize another International Workshop on Modern Software Tools for Scientific Computing, often referred to as SciTools'98. This workshop took place in Oslo, Norway, September 14-16, 1998. The ob jective was again to provide an open forum for exchange and discussion of modern, state-of-the-art software techniques applied to challenging numerical problems. The organization was undertaken jointly by the research institute SINTEF Applied Mathematics, the Departments of Mathematics and Infor matics at the University of Oslo, and the company Numerical Objects AS.

Author : Francesco Aldo Costabile
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110757249
Total Pages : 526 pages
Book Rating : 4.48/5 ( download)

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Download or read book Polynomial Sequences written by Francesco Aldo Costabile and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-18 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomials are useful mathematical tools. They are simply defined and can be calculated quickly on computer systems. They can be differentiated and integrated easily and can be pieced together to form spline curves. After Weierstrass approximation Theorem, polynomial sequences have acquired considerable importance not only in the various branches of Mathematics, but also in Physics, Chemistry and Engineering disciplines. There is a wide literature on specific polynomial sequences. But there is no literature that attempts a systematic exposition of the main basic methods for the study of a generic polynomial sequence and, at the same time, gives an overview of the main polynomial classes and related applications, at least in numerical analysis. In this book, through an elementary matrix calculus-based approach, an attempt is made to fill this gap by exposing dated and very recent results, both theoretical and applied.

Author : James E. Gentle
Publisher : Springer Science & Business Media
ISBN 13 : 0387981446
Total Pages : 732 pages
Book Rating : 4.44/5 ( download)

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Download or read book Computational Statistics written by James E. Gentle and published by Springer Science & Business Media. This book was released on 2009-07-28 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational inference is based on an approach to statistical methods that uses modern computational power to simulate distributional properties of estimators and test statistics. This book describes computationally intensive statistical methods in a unified presentation, emphasizing techniques, such as the PDF decomposition, that arise in a wide range of methods.

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387981454
Total Pages : 732 pages
Book Rating : 4.51/5 ( download)

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Download or read book Computational Statistics written by and published by Springer Science & Business Media. This book was released on 2010-04-29 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational inference is based on an approach to statistical methods that uses modern computational power to simulate distributional properties of estimators and test statistics. This book describes computationally intensive statistical methods in a unified presentation, emphasizing techniques, such as the PDF decomposition, that arise in a wide range of methods.

Author : Gerhard Zumbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3322800636
Total Pages : 215 pages
Book Rating : 4.33/5 ( download)

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Download or read book Parallel Multilevel Methods written by Gerhard Zumbusch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Main aspects of the efficient treatment of partial differential equations are discretisation, multilevel/multigrid solution and parallelisation. These distinct topics are covered from the historical background to modern developments. It is demonstrated how the ingredients can be put together to give an adaptive and parallel multilevel approach for the solution of elliptic boundary value problems. Error estimators and adaptive grid refinement techniques for ordinary and for sparse grid discretisations are presented. Different types of additive and multiplicative multilevel solvers are discussed with respect to parallel implementation and application to adaptive refined grids. Efficiency issues are treated both for the sequential multilevel methods and for the parallel version by hash table storage techniques. Finally, space-filling curve enumeration for parallel load balancing and processor cache efficiency are discussed.

Author : R. Glowinski
Publisher :
ISBN 13 :
Total Pages : 602 pages
Book Rating : 4.09/5 ( download)

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Download or read book Domain Decomposition Methods in Sciences and Engineering written by R. Glowinski and published by . This book was released on 1997-04-30 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain Decomposition Methods are receiving significant attention in scientific and engineering computing. They provide a broad class of effective numerical methods for the solution of large scale mathematical-physical problems from sciences and engineering. This book contains invited and contributed papers from the 8th Domain Decomposition Methods Conference. The topics addressed range from basic theoretical research to industrial applications: basic algorithms, multilevel methods, parallel computing, transport, wave and flow problems. Applications include problems from fluid and structural mechanics, electromagnetics and petroleum engineering.

Author :
Publisher :
ISBN 13 :
Total Pages : 930 pages
Book Rating : 4.40/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: