Computational Methods In Transport Verification And Validation

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Computational Methods in Transport: Verification and Validation

Frank Graziani
Computational Methods in Transport Verification and Validation Book PDF

Author : Frank Graziani
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 54,5 Mb
Release : 2008-08-09
Category : Science
ISBN : 9783540773627

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Computational Methods in Transport: Verification and Validation by Frank Graziani Pdf

The focus of this book deals with a cross cutting issue affecting all transport disciplines, whether it be photon, neutron, charged particle or neutrino transport. That is, verification and validation. In this book, we learn what the astrophysicist, atmospheric scientist, mathematician or nuclear engineer do to assess the accuracy of their code. What convergence studies, what error analysis, what problems do each field use to ascertain the accuracy of their transport simulations.

Computational Methods in Transport: Verification and Validation

Frank Graziani
Computational Methods in Transport Verification and Validation Book PDF

Author : Frank Graziani
Publisher : Springer
Page : 0 pages
File Size : 46,9 Mb
Release : 2008-06-04
Category : Science
ISBN : 3540773614

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Computational Methods in Transport: Verification and Validation by Frank Graziani Pdf

The focus of this book deals with a cross cutting issue affecting all transport disciplines, whether it be photon, neutron, charged particle or neutrino transport. That is, verification and validation. In this book, we learn what the astrophysicist, atmospheric scientist, mathematician or nuclear engineer do to assess the accuracy of their code. What convergence studies, what error analysis, what problems do each field use to ascertain the accuracy of their transport simulations.

Advanced Computational Methods in Science and Engineering

Barry Koren,Kees Vuik
Advanced Computational Methods in Science and Engineering Book PDF

Author : Barry Koren,Kees Vuik
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 53,9 Mb
Release : 2010-04-29
Category : Mathematics
ISBN : 9783642033872

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Advanced Computational Methods in Science and Engineering by Barry Koren,Kees Vuik Pdf

The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.

Introduction to Numerical Methods for Variational Problems

Hans Petter Langtangen,Kent-Andre Mardal
Introduction to Numerical Methods for Variational Problems Book PDF

Author : Hans Petter Langtangen,Kent-Andre Mardal
Publisher : Springer Nature
Page : 395 pages
File Size : 50,8 Mb
Release : 2019-09-26
Category : Mathematics
ISBN : 9783030237882

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Introduction to Numerical Methods for Variational Problems by Hans Petter Langtangen,Kent-Andre Mardal Pdf

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.

BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods

Carmelo Clavero,José Luis Gracia,Francisco J. Lisbona
BAIL 2010 Boundary and Interior Layers Computational and Asymptotic Methods Book PDF

Author : Carmelo Clavero,José Luis Gracia,Francisco J. Lisbona
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 40,8 Mb
Release : 2011-05-11
Category : Mathematics
ISBN : 9783642196652

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BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods by Carmelo Clavero,José Luis Gracia,Francisco J. Lisbona Pdf

This volume will contain selected papers from the lectures held at the BAIL 2010 Conference, which took place from July 5th to 9th, 2010 in Zaragoza (Spain). The papers present significant advances in the modeling, analysis and construction of efficient numerical methods to solve boundary and interior layers appearing in singular perturbation problems. Special emphasis is put on the mathematical foundations of such methods and their application to physical models. Topics in scientific fields such as fluid dynamics, quantum mechanics, semiconductor modeling, control theory, elasticity, chemical reactor theory, and porous media are examined in detail.

Numerical Techniques for Global Atmospheric Models

Peter H. Lauritzen,Christiane Jablonowski,Mark A. Taylor,Ramachandran D. Nair
Numerical Techniques for Global Atmospheric Models Book PDF

Author : Peter H. Lauritzen,Christiane Jablonowski,Mark A. Taylor,Ramachandran D. Nair
Publisher : Springer Science & Business Media
Page : 570 pages
File Size : 50,5 Mb
Release : 2011-03-29
Category : Mathematics
ISBN : 9783642116407

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Numerical Techniques for Global Atmospheric Models by Peter H. Lauritzen,Christiane Jablonowski,Mark A. Taylor,Ramachandran D. Nair Pdf

This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.

Uncertainty Quantification in Computational Fluid Dynamics

Hester Bijl,Didier Lucor,Siddhartha Mishra,Christoph Schwab
Uncertainty Quantification in Computational Fluid Dynamics Book PDF

Author : Hester Bijl,Didier Lucor,Siddhartha Mishra,Christoph Schwab
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 41,7 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9783319008851

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Uncertainty Quantification in Computational Fluid Dynamics by Hester Bijl,Didier Lucor,Siddhartha Mishra,Christoph Schwab Pdf

Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Tarek Mathew
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations Book PDF

Author : Tarek Mathew
Publisher : Springer Science & Business Media
Page : 775 pages
File Size : 50,6 Mb
Release : 2008-06-25
Category : Mathematics
ISBN : 9783540772095

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Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by Tarek Mathew Pdf

Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.

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

Petr Knobloch
Boundary and Interior Layers Computational and Asymptotic Methods BAIL 2014 Book PDF

Author : Petr Knobloch
Publisher : Springer
Page : 313 pages
File Size : 53,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9783319257273

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Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 by Petr Knobloch Pdf

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.

Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018

Gabriel R. Barrenechea,John Mackenzie
Boundary and Interior Layers Computational and Asymptotic Methods BAIL 2018 Book PDF

Author : Gabriel R. Barrenechea,John Mackenzie
Publisher : Springer Nature
Page : 254 pages
File Size : 52,8 Mb
Release : 2020-08-11
Category : Mathematics
ISBN : 9783030418007

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Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 by Gabriel R. Barrenechea,John Mackenzie Pdf

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.

Advanced Computing

Michael Bader,Hans-Joachim Bungartz,Tobias Weinzierl
Advanced Computing Book PDF

Author : Michael Bader,Hans-Joachim Bungartz,Tobias Weinzierl
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 46,9 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9783642387623

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Advanced Computing by Michael Bader,Hans-Joachim Bungartz,Tobias Weinzierl Pdf

This proceedings volume collects review articles that summarize research conducted at the Munich Centre of Advanced Computing (MAC) from 2008 to 2012. The articles address the increasing gap between what should be possible in Computational Science and Engineering due to recent advances in algorithms, hardware, and networks, and what can actually be achieved in practice; they also examine novel computing architectures, where computation itself is a multifaceted process, with hardware awareness or ubiquitous parallelism due to many-core systems being just two of the challenges faced. Topics cover both the methodological aspects of advanced computing (algorithms, parallel computing, data exploration, software engineering) and cutting-edge applications from the fields of chemistry, the geosciences, civil and mechanical engineering, etc., reflecting the highly interdisciplinary nature of the Munich Centre of Advanced Computing.

Frontiers in Numerical Analysis - Durham 2010

James Blowey,Max Jensen
Frontiers in Numerical Analysis Durham 2010 Book PDF

Author : James Blowey,Max Jensen
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 52,6 Mb
Release : 2012-01-10
Category : Mathematics
ISBN : 9783642239144

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Frontiers in Numerical Analysis - Durham 2010 by James Blowey,Max Jensen Pdf

This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own, and graduates in mathematical sciences.

Meshfree Methods for Partial Differential Equations VI

Michael Griebel,Marc Alexander Schweitzer
Meshfree Methods for Partial Differential Equations VI Book PDF

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 45,6 Mb
Release : 2012-12-16
Category : Computers
ISBN : 9783642329791

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Meshfree Methods for Partial Differential Equations VI by Michael Griebel,Marc Alexander Schweitzer Pdf

Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. ​

Domain Decomposition Methods in Science and Engineering XIX

Yunqing Huang,Ralf Kornhuber,Olof Widlund,Jinchao Xu
Domain Decomposition Methods in Science and Engineering XIX Book PDF

Author : Yunqing Huang,Ralf Kornhuber,Olof Widlund,Jinchao Xu
Publisher : Springer Science & Business Media
Page : 484 pages
File Size : 53,9 Mb
Release : 2010-10-27
Category : Mathematics
ISBN : 9783642113048

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Domain Decomposition Methods in Science and Engineering XIX by Yunqing Huang,Ralf Kornhuber,Olof Widlund,Jinchao Xu Pdf

These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.

Spectral and High Order Methods for Partial Differential Equations

Jan S. Hesthaven,Einar M. Rønquist
Spectral and High Order Methods for Partial Differential Equations Book PDF

Author : Jan S. Hesthaven,Einar M. Rønquist
Publisher : Springer Science & Business Media
Page : 507 pages
File Size : 40,9 Mb
Release : 2010-10-29
Category : Mathematics
ISBN : 9783642153372

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Spectral and High Order Methods for Partial Differential Equations by Jan S. Hesthaven,Einar M. Rønquist Pdf

The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.