Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016
Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016

Author: Zhongyi Huang

Publisher: Springer

Published: 2017-10-26

Total Pages: 212

ISBN-13: 3319672029

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This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena. The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics. This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.

Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018
Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018

Author: Gabriel R. Barrenechea

Publisher: Springer Nature

Published: 2020-08-11

Total Pages: 254

ISBN-13: 3030418006

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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.

Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014
Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014

Author: Petr Knobloch

Publisher: Springer

Published: 2016-04-19

Total Pages: 315

ISBN-13: 3319257277

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This volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic. These are devoted to the theoretical and/or numerical analysis of problems involving boundary and interior layers and methods for solving these problems numerically. The authors are both mathematicians (pure and applied) and engineers, and bring together a large number of interesting ideas. The wide variety of topics treated in the contributions provides an excellent overview of current research into the theory and numerical solution of problems involving boundary and interior layers.

Software for Exascale Computing - SPPEXA 2016-2019
Software for Exascale Computing - SPPEXA 2016-2019

Author: Hans-Joachim Bungartz

Publisher: Springer Nature

Published: 2020-07-30

Total Pages: 624

ISBN-13: 3030479560

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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.

Numerical Methods for Flows
Numerical Methods for Flows

Author: Harald van Brummelen

Publisher: Springer Nature

Published: 2020-02-22

Total Pages: 358

ISBN-13: 3030307050

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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.

Domain Decomposition Methods in Science and Engineering XXV
Domain Decomposition Methods in Science and Engineering XXV

Author: Ronald Haynes

Publisher: Springer Nature

Published: 2020-10-24

Total Pages: 508

ISBN-13: 3030567508

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These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2018.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

Author: Spencer J. Sherwin

Publisher: Springer Nature

Published: 2020-08-11

Total Pages: 658

ISBN-13: 3030396479

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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.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016

Author: Marco L. Bittencourt

Publisher: Springer

Published: 2017-11-07

Total Pages: 681

ISBN-13: 3319658700

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This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), 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.

BEM-based Finite Element Approaches on Polytopal Meshes
BEM-based Finite Element Approaches on Polytopal Meshes

Author: Steffen Weißer

Publisher: Springer

Published: 2019-07-18

Total Pages: 258

ISBN-13: 303020961X

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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.

Recent Advances in Computational Engineering
Recent Advances in Computational Engineering

Author: Michael Schäfer

Publisher: Springer

Published: 2018-08-21

Total Pages: 215

ISBN-13: 3319938916

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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.