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Automated Solution Of Differential Equations By The Finite Element Method

Author: Anders Logg
Publisher: Springer Science & Business Media
ISBN: 3642230997
Size: 19.35 MB
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This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Automated Solution Of Differential Equations By The Finite Element Method The Fenics Project 2011

Author: The FEniCS Project
Publisher: Bukupedia
ISBN:
Size: 64.62 MB
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The FEniCS Project set out in 2003 with the idea to automate the solution of mathematical models based on differential equations. Initially, the FEniCS Project consisted of two libraries: DOLFIN and FIAT. Since then, the project has grown and now consists of the core components DOLFIN, FFC, FIAT, Instant, UFC and UFL. Other FEniCS components and applications described in this book are SyFi/SFC, FErari, AScot, Unicorn, CBC.Block, CBC.RANS, CBC.Solve and DOLFWAVE. Editor note: Check that we are not missing any applications/components. This book is written by researchers and developers behind the FEniCS Project. The presentation spans mathematical background, software design and the use of FEniCS in applications. The mathematical framework is outlined in Part I, the implementation of central components is described in Part II, while Part III concerns a wide range of applications. New users of FEniCS may find the tutorial included as the opening chapter particularly useful. Feedback on this book is welcome, and can be given at https://launchpad.net/fenics-book. Use the Launchpad system to file bug reports if you find errors in the text. For more information about the FEniCS Project, access to the software presented in this book, documentation, articles and presentations, visit the FEniCS Project web site at http://www.fenicsproject.org. Some of the chapters in this book are accompanied by supplementary material in the form of code examples. These code examples can be downloaded from http://www.fenicsproject.org/book. Editor note: GNW/KAM: Comment on code license. AL: Which code license? Anders Logg, Kent-Andre Mardal and Garth N. Wells Oslo and Cambridge, June 2011

Parallel Processing And Applied Mathematics

Author: Roman Wyrzykowski
Publisher: Springer
ISBN: 3319321498
Size: 11.64 MB
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This two-volume set LNCS 9573 and LNCS 9574 constitutes the refereed proceedings of the 11th International Conference of Parallel Processing and Applied Mathematics, PPAM 2015, held in Krakow, Poland, in September 2015.The 111 revised full papers presented in both volumes were carefully reviewed and selected from 196 submissions. The focus of PPAM 2015 was on models, algorithms, and software tools which facilitate efficient and convenient utilization of modern parallel and distributed computing architectures, as well as on large-scale applications, including big data problems.

Software For Exascale Computing Sppexa 2013 2015

Author: Hans-Joachim Bungartz
Publisher: Springer
ISBN: 3319405284
Size: 64.68 MB
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The research and its outcomes presented in this collection focus on various aspects of high-performance computing (HPC) software and its development which is confronted with various challenges as today's supercomputer technology heads towards exascale computing. 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 collection thereby highlights pioneering research findings as well as innovative concepts in exascale software development that have been conducted under the umbrella of the priority programme "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) and that have been presented at the SPPEXA Symposium, Jan 25-27 2016, in Munich. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.

Mathematical Modeling And Optimization Of Complex Structures

Author: Pekka Neittaanmäki
Publisher: Springer
ISBN: 3319235648
Size: 64.69 MB
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This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

Computational Science Iccs 2005

Author: V.S. Sunderam
Publisher: Springer Science & Business Media
ISBN: 3540260323
Size: 62.81 MB
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The three-volume set LNCS 3514-3516 constitutes the refereed proceedings of the 5th International Conference on Computational Science, ICCS 2005, held in Atlanta, GA, USA in May 2005. The 464 papers presented were carefully reviewed and selected from a total of 834 submissions for the main conference and its 21 topical workshops. The papers span the whole range of computational science, ranging from numerical methods, algorithms, and computational kernels to programming environments, grids, networking, and tools. These fundamental contributions dealing with computer science methodologies and techniques are complemented by papers discussing computational applications and needs in virtually all scientific disciplines applying advanced computational methods and tools to achieve new discoveries with greater accuracy and speed.

Computer Mathematics

Author: Kiyoshi Shirayanagi
Publisher: World Scientific
ISBN: 9789812799661
Size: 21.20 MB
Format: PDF, ePub, Docs
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This volume covers some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric and geometric computation, automated mathematical reasoning, mathematical software and computer-aided geometric design. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find this volume good reading and a valuable reference. Contents: Solution of a Linear Differential Equations in the Form of Power Series and Its Application (T Kitamoto); On the Specification for Solvers of Polynomial Systems (D Lazard); OMEI: An Open Mathematical Engine Interface (W Liao et al.); Polynomial Solutions of Algebraic Differential Equations (Y Ma & X-S Gao); FIGUE: Mathematical Formula Layout with Interaction and MathML Support (H Naciri & L Rideau); An Inductive Approach to Formalizing Notions of Number Theory Proofs (T M Rasmussen); A Generalized Algorithm for Computing Characteristic Sets (D Wang); Action Refinement for Timed LOTOS (J Wu); Exact Analytical Solutions to a Set of Coupled Nonlinear Differential Equations Using Symbolic Computation (R-X Yao & Z-B Li); and other papers. Readership: Researchers, engineers, academics and graduate students in numerical & computational mathematics, theoretical computer science, mathematical modeling, analysis & differential equations, software engineering/programming, algebra & number theory, and logic.