Eigenvalue Problems Algorithms Software And Applications In Petascale Computing

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Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing

Author : Tetsuya Sakurai
Publisher : Springer
ISBN 13 : 3319624261
Total Pages : 313 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing by : Tetsuya Sakurai

Download or read book Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing written by Tetsuya Sakurai and published by Springer. This book was released on 2018-01-03 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas – and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems.

Petascale Computing

Author : David A. Bader
Publisher : CRC Press
ISBN 13 : 9781584889106
Total Pages : 616 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis Petascale Computing by : David A. Bader

Download or read book Petascale Computing written by David A. Bader and published by CRC Press. This book was released on 2007-12-22 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the highly anticipated petascale computers of the near future will perform at an order of magnitude faster than today’s quickest supercomputer, the scaling up of algorithms and applications for this class of computers remains a tough challenge. From scalable algorithm design for massive concurrency toperformance analyses and scientific visualization, Petascale Computing: Algorithms and Applications captures the state of the art in high-performance computing algorithms and applications. Featuring contributions from the world’s leading experts in computational science, this edited collection explores the use of petascale computers for solving the most difficult scientific and engineering problems of the current century. Covering a wide range of important topics, the book illustrates how petascale computing can be applied to space and Earth science missions, biological systems, weather prediction, climate science, disasters, black holes, and gamma ray bursts. It details the simulation of multiphysics, cosmological evolution, molecular dynamics, and biomolecules. The book also discusses computational aspects that include the Uintah framework, Enzo code, multithreaded algorithms, petaflops, performance analysis tools, multilevel finite element solvers, finite element code development, Charm++, and the Cactus framework. Supplying petascale tools, programming methodologies, and an eight-page color insert, this volume addresses the challenging problems of developing application codes that can take advantage of the architectural features of the new petascale systems in advance of their first deployment.

Software for Exascale Computing - SPPEXA 2016-2019

Author : Hans-Joachim Bungartz
Publisher : Springer Nature
ISBN 13 : 3030479560
Total Pages : 624 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Software for Exascale Computing - SPPEXA 2016-2019 by : Hans-Joachim Bungartz

Download or read book Software for Exascale Computing - SPPEXA 2016-2019 written by Hans-Joachim Bungartz and published by Springer Nature. This book was released on 2020-07-30 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.

Scientific Computing

Author : John A. Trangenstein
Publisher : Springer
ISBN 13 : 3319691074
Total Pages : 600 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Scientific Computing by : John A. Trangenstein

Download or read book Scientific Computing written by John A. Trangenstein and published by Springer. This book was released on 2018-05-14 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 49 examples, 110 exercises, 66 algorithms, 24 interactive JavaScript programs, 77 references to software programs and 1 case study. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.

The Art of High Performance Computing for Computational Science, Vol. 1

Author : Masaaki Geshi
Publisher : Springer
ISBN 13 : 9811361940
Total Pages : 219 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis The Art of High Performance Computing for Computational Science, Vol. 1 by : Masaaki Geshi

Download or read book The Art of High Performance Computing for Computational Science, Vol. 1 written by Masaaki Geshi and published by Springer. This book was released on 2019-05-14 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides basic and practical techniques of parallel computing and related methods of numerical analysis for researchers who conduct numerical calculation and simulation. Although the techniques provided in this book are field-independent, these methods can be used in fields such as physics, chemistry, biology, earth sciences, space science, meteorology, disaster prevention, and manufacturing. In particular, those who develop software code in these areas will find this book useful. The contents are suitable for graduate students and researchers in computational science rather than novices at programming or informed experts in computer science. Starting with an introduction to the recent trends in computer architecture and parallel processing, Chapter 1 explains the basic knowledge of speedup programs with simple examples of numerical computing. Chapters 2 – 4 detail the basics of parallel programming, the message passing interface (MPI), and OpenMP and discuss hybrid parallelization techniques. Showing an actual example of adaptation, Chapter 5 gives an overview of performance tuning and communication optimizations. To deal with dense matrix calculations, Chapter 6 details the basics and practice of linear algebra calculation libraries BLAS and LAPACK, including some examples that can be easily reproduced by readers using free software. Focusing on sparse matrix calculations, Chapter 7 explains high performance algorithms for numerical linear algebra. Chapter 8 introduces the fast Fourier transform in large-scale systems from the basics. Chapter 9 explains optimization and related topics such as debug methods and version control systems. Chapter 10 discusses techniques for increasing computation accuracy as an essential topic in numerical calculation. This is the first of the two volumes that grew out of a series of lectures in the K computer project in Japan. The second volume will focus on advanced techniques and examples of applications in materials science.

Geometrically Unfitted Finite Element Methods and Applications

Author : Stéphane P. A. Bordas
Publisher : Springer
ISBN 13 : 3319714317
Total Pages : 361 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Geometrically Unfitted Finite Element Methods and Applications by : Stéphane P. A. Bordas

Download or read book Geometrically Unfitted Finite Element Methods and Applications written by Stéphane P. A. Bordas and published by Springer. This book was released on 2018-03-13 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a snapshot of the state of the art of the rapidly evolving field of integration of geometric data in finite element computations. The contributions to this volume, based on research presented at the UCL workshop on the topic in January 2016, include three review papers on core topics such as fictitious domain methods for elasticity, trace finite element methods for partial differential equations defined on surfaces, and Nitsche’s method for contact problems. Five chapters present original research articles on related theoretical topics, including Lagrange multiplier methods, interface problems, bulk-surface coupling, and approximation of partial differential equations on moving domains. Finally, two chapters discuss advanced applications such as crack propagation or flow in fractured poroelastic media. This is the first volume that provides a comprehensive overview of the field of unfitted finite element methods, including recent techniques such as cutFEM, traceFEM, ghost penalty, and augmented Lagrangian techniques. It is aimed at researchers in applied mathematics, scientific computing or computational engineering.

Isogeometric Analysis and Applications 2018

Author : Harald van Brummelen
Publisher : Springer Nature
ISBN 13 : 3030498360
Total Pages : 279 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Isogeometric Analysis and Applications 2018 by : Harald van Brummelen

Download or read book Isogeometric Analysis and Applications 2018 written by Harald van Brummelen and published by Springer Nature. This book was released on 2021-01-13 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.

Advanced Finite Element Methods with Applications

Author : Thomas Apel
Publisher : Springer
ISBN 13 : 3030142442
Total Pages : 428 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Advanced Finite Element Methods with Applications by : Thomas Apel

Download or read book Advanced Finite Element Methods with Applications written by Thomas Apel and published by Springer. This book was released on 2019-06-28 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.

Sparse Grids and Applications - Miami 2016

Author : Jochen Garcke
Publisher : Springer
ISBN 13 : 3319754262
Total Pages : 262 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Sparse Grids and Applications - Miami 2016 by : Jochen Garcke

Download or read book Sparse Grids and Applications - Miami 2016 written by Jochen Garcke and published by Springer. This book was released on 2018-06-20 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sparse grids are a popular tool 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 flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fourth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including computational chemistry, computational fluid dynamics, and big data analytics, to name but a few.

Numerical Mathematics and Advanced Applications ENUMATH 2019

Author : Fred J. Vermolen
Publisher : Springer Nature
ISBN 13 : 3030558746
Total Pages : 1185 pages
Book Rating : 4.0/5 (35 download)

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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 and published by Springer Nature. This book was released on 2021-04-30 with total page 1185 pages. 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).

Introduction to Numerical Methods for Variational Problems

Author : Hans Petter Langtangen
Publisher : Springer Nature
ISBN 13 : 3030237885
Total Pages : 395 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Introduction to Numerical Methods for Variational Problems by : Hans Petter Langtangen

Download or read book Introduction to Numerical Methods for Variational Problems written by Hans Petter Langtangen and published by Springer Nature. This book was released on 2019-09-26 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

Scientific Computing

Author : Bertil Gustafsson
Publisher : Springer
ISBN 13 : 3319698478
Total Pages : 262 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Scientific Computing by : Bertil Gustafsson

Download or read book Scientific Computing written by Bertil Gustafsson and published by Springer. This book was released on 2018-10-03 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the most significant computational methods and the history of their development. It begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the 16th century. For several centuries the main scientific challenge concerned the mechanics of planetary dynamics, and the book describes the basic numerical methods of that time. In turn, at the end of the Second World War scientific computing took a giant step forward with the advent of electronic computers, which greatly accelerated the development of numerical methods. As a result, scientific computing became established as a third scientific method in addition to the two traditional branches: theory and experimentation. The book traces numerical methods’ journey back to their origins and to the people who invented them, while also briefly examining the development of electronic computers over the years. Featuring 163 references and more than 100 figures, many of them portraits or photos of key historical figures, the book provides a unique historical perspective on the general field of scientific computing – making it a valuable resource for all students and professionals interested in the history of numerical analysis and computing, and for a broader readership alike.

Numerical Geometry, Grid Generation and Scientific Computing

Author : Vladimir A. Garanzha
Publisher : Springer Nature
ISBN 13 : 3030767981
Total Pages : 419 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Numerical Geometry, Grid Generation and Scientific Computing by : Vladimir A. Garanzha

Download or read book Numerical Geometry, Grid Generation and Scientific Computing written by Vladimir A. Garanzha and published by Springer Nature. This book was released on 2021-09-25 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Delaunay triangulations and their applications, celebrating the 130th birthday of Boris Delaunay. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.

Recent Advances in Computational Engineering

Author : Michael Schäfer
Publisher : Springer
ISBN 13 : 3319938916
Total Pages : 209 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Recent Advances in Computational Engineering by : Michael Schäfer

Download or read book Recent Advances in Computational Engineering written by Michael Schäfer and published by Springer. This book was released on 2018-08-21 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the proceedings of the 4th International Conference on Computational Engineering (ICCE 2017), held in Darmstadt, Germany on September 28-29, 2017. The conference is intended to provide an interdisciplinary meeting place for researchers and practitioners working on computational methods in all disciplines of engineering, applied mathematics and computer science. The aims of the conference are to discuss the state of the art in this challenging field, exchange experiences, develop promising perspectives for future research and initiate further cooperation. Computational Engineering is a modern and multidisciplinary science for computer-based modeling, simulation, analysis, and optimization of complex engineering applications and natural phenomena. The book contains an overview of selected approaches from numerics and optimization of Partial Differential Equations as well as uncertainty quantification techniques, typically in multiphysics environments. Where possible, application cases from engineering are integrated. The book will be of interest to researchers and practitioners of Computational Engineering, Applied Mathematics, Engineering Sciences and Computer Science.

Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018

Author : Gabriel R. Barrenechea
Publisher : Springer Nature
ISBN 13 : 3030418006
Total Pages : 254 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 by : Gabriel R. Barrenechea

Download or read book Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 written by Gabriel R. Barrenechea and published by Springer Nature. This book was released on 2020-08-11 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers papers presented at the international conference BAIL, which was held at the University of Strathclyde, Scotland from the 14th to the 22nd of June 2018. The conference gathered specialists in the asymptotic and numerical analysis of problems which exhibit layers and interfaces. Covering a wide range of topics and sharing a wealth of insights, the papers in this volume provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers.

Programming for Computations - Python

Author : Svein Linge
Publisher : Springer Nature
ISBN 13 : 3030168778
Total Pages : 350 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Programming for Computations - Python by : Svein Linge

Download or read book Programming for Computations - Python written by Svein Linge and published by Springer Nature. This book was released on 2019-10-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is published open access under a CC BY 4.0 license. This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style employed is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows students to write simple programs for solving common mathematical problems with numerical methods in the context of engineering and science courses. The emphasis is on generic algorithms, clean program design, the use of functions, and automatic tests for verification.

An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases

Author : Francis X. Giraldo
Publisher : Springer Nature
ISBN 13 : 3030550699
Total Pages : 559 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases by : Francis X. Giraldo

Download or read book An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases written by Francis X. Giraldo and published by Springer Nature. This book was released on 2020-10-30 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book’s main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.