Share

Extraction of Quantifiable Information from Complex Systems

2014-11-13 Mathematics
Download Extraction of Quantifiable Information from Complex Systems PDF Online Free

Author :
Release : 2014-11-13
Genre : Mathematics
Kind : eBook
Book Rating : 594/5 ( reviews)

GET EBOOK


Book Synopsis Extraction of Quantifiable Information from Complex Systems by : Stephan Dahlke

Download or read book Extraction of Quantifiable Information from Complex Systems written by Stephan Dahlke. This book was released on 2014-11-13. Available in PDF, EPUB and Kindle. Book excerpt: In April 2007, the Deutsche Forschungsgemeinschaft (DFG) approved the Priority Program 1324 “Mathematical Methods for Extracting Quantifiable Information from Complex Systems.” This volume presents a comprehensive overview of the most important results obtained over the course of the program. Mathematical models of complex systems provide the foundation for further technological developments in science, engineering and computational finance. Motivated by the trend toward steadily increasing computer power, ever more realistic models have been developed in recent years. These models have also become increasingly complex, and their numerical treatment poses serious challenges. Recent developments in mathematics suggest that, in the long run, much more powerful numerical solution strategies could be derived if the interconnections between the different fields of research were systematically exploited at a conceptual level. Accordingly, a deeper understanding of the mathematical foundations as well as the development of new and efficient numerical algorithms were among the main goals of this Priority Program. The treatment of high-dimensional systems is clearly one of the most challenging tasks in applied mathematics today. Since the problem of high-dimensionality appears in many fields of application, the above-mentioned synergy and cross-fertilization effects were expected to make a great impact. To be truly successful, the following issues had to be kept in mind: theoretical research and practical applications had to be developed hand in hand; moreover, it has proven necessary to combine different fields of mathematics, such as numerical analysis and computational stochastics. To keep the whole program sufficiently focused, we concentrated on specific but related fields of application that share common characteristics and as such, they allowed us to use closely related approaches.

Numerical Mathematics and Advanced Applications ENUMATH 2019

2021-04-30 Mathematics
Download Numerical Mathematics and Advanced Applications ENUMATH 2019 PDF Online Free

Author :
Release : 2021-04-30
Genre : Mathematics
Kind : eBook
Book Rating : 746/5 ( reviews)

GET EBOOK


Book Synopsis Numerical Mathematics and Advanced Applications ENUMATH 2019 by : Fred J. Vermolen

Download or read book Numerical Mathematics and Advanced Applications ENUMATH 2019 written by Fred J. Vermolen. This book was released on 2021-04-30. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers outstanding papers presented at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019). The conference was organized by Delft University of Technology and was held in Egmond aan Zee, the Netherlands, from September 30 to October 4, 2019. Leading experts in the field presented the latest results and ideas regarding the design, implementation and analysis of numerical algorithms, as well as their applications to relevant societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications, all examined at the highest level of international expertise. The first ENUMATH was held in Paris in 1995, with successive installments at various sites across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), Ankara (2015) and Bergen (2017).

BEM-based Finite Element Approaches on Polytopal Meshes

2019-07-18 Computers
Download BEM-based Finite Element Approaches on Polytopal Meshes PDF Online Free

Author :
Release : 2019-07-18
Genre : Computers
Kind : eBook
Book Rating : 61X/5 ( reviews)

GET EBOOK


Book Synopsis BEM-based Finite Element Approaches on Polytopal Meshes by : Steffen Weißer

Download or read book BEM-based Finite Element Approaches on Polytopal Meshes written by Steffen Weißer. This book was released on 2019-07-18. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes. The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments. Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students.

Numerical Methods for Flows

2020-02-22 Mathematics
Download Numerical Methods for Flows PDF Online Free

Author :
Release : 2020-02-22
Genre : Mathematics
Kind : eBook
Book Rating : 050/5 ( reviews)

GET EBOOK


Book Synopsis Numerical Methods for Flows by : Harald van Brummelen

Download or read book Numerical Methods for Flows written by Harald van Brummelen. This book was released on 2020-02-22. Available in PDF, EPUB and Kindle. Book excerpt: This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

2020-08-11 Mathematics
Download Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 PDF Online Free

Author :
Release : 2020-08-11
Genre : Mathematics
Kind : eBook
Book Rating : 479/5 ( reviews)

GET EBOOK


Book Synopsis Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 by : Spencer J. Sherwin

Download or read book Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 written by Spencer J. Sherwin. This book was released on 2020-08-11. Available in PDF, EPUB and Kindle. Book excerpt: This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.

You may also like...