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Numerical Validation Methods
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Book Synopsis Verification and Validation in Scientific Computing by : William L. Oberkampf
Download or read book Verification and Validation in Scientific Computing written by William L. Oberkampf and published by Cambridge University Press. This book was released on 2010-10-14 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.
Book Synopsis Numerical Methods for Inverse Scattering Problems by : Jingzhi Li
Download or read book Numerical Methods for Inverse Scattering Problems written by Jingzhi Li and published by Springer Nature. This book was released on 2023-09-07 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scattering problems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.
Book Synopsis Numerical Methods in Software and Analysis by : John R. Rice
Download or read book Numerical Methods in Software and Analysis written by John R. Rice and published by Academic Press. This book was released on 1993 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizes the use of high-quality mathematical software for numerical computation. The book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM algorithms. Examples and case studies are included.
Book Synopsis U.S. Geological Survey Water-supply Paper by :
Download or read book U.S. Geological Survey Water-supply Paper written by and published by . This book was released on 1982 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deterministic Numerical Modeling of Soil Structure Interaction by : Stephane Grange
Download or read book Deterministic Numerical Modeling of Soil Structure Interaction written by Stephane Grange and published by John Wiley & Sons. This book was released on 2022-01-26 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to describe soil–structure interaction in various situations (nonlinear, static, dynamic, hydro-mechanical couplings), this book gives an overview of the main modeling methods developed in geotechnical engineering. The chapters are centered around: the finite element method (FEM), the finite difference method (FDM), and the discrete element method (DEM). Deterministic Numerical Modeling of Soil–Structure Interaction allows the reader to explore the classical and well-known FEM and FDM, using interface and contact elements available for coupled hydro-mechanical problems. Furthermore, this book provides insight on the DEM, adapted for interaction laws at the grain level. Within a classical finite element framework, the concept of macro-element is introduced, which generalizes constitutive laws of SSI and is particularly straightforward in dynamic situations. Finally, this book presents the SSI, in the case of a group of structures, such as buildings in a town, using the notion of metamaterials and a geophysics approach.
Book Synopsis Validation Methods for Fault-Tolerant Avionics and Control Systems--Working Group Meeting I by :
Download or read book Validation Methods for Fault-Tolerant Avionics and Control Systems--Working Group Meeting I written by and published by . This book was released on 1979 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods, Software, and Analysis by : John Rischard Rice
Download or read book Numerical Methods, Software, and Analysis written by John Rischard Rice and published by McGraw-Hill Companies. This book was released on 1983 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and computer science background. Numerical software. Errors, roud-off, and stabilitly. Models and formulas for numerical computations. Interpolation. Matrices and linear equations. Differentiation and integration. Nonlinear equations. Ordinary differential equations. Partial differential equations. Approximation of functions and data. Software practice, costs, and engineering. Software performance evaluation. The validation of numerical computations. Protran.
Book Synopsis Accuracy and Reliability in Scientific Computing by : Bo Einarsson
Download or read book Accuracy and Reliability in Scientific Computing written by Bo Einarsson and published by SIAM. This book was released on 2005-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical software is used to test scientific theories, design airplanes and bridges, operate manufacturing lines, control power plants and refineries, analyze financial derivatives, identify genomes, and provide the understanding necessary to derive and analyze cancer treatments. Because of the high stakes involved, it is essential that results computed using software be accurate, reliable, and robust. Unfortunately, developing accurate and reliable scientific software is notoriously difficult. This book investigates some of the difficulties related to scientific computing and provides insight into how to overcome them and obtain dependable results. The tools to assess existing scientific applications are described, and a variety of techniques that can improve the accuracy and reliability of newly developed applications is discussed. Accuracy and Reliability in Scientific Computing can be considered a handbook for improving the quality of scientific computing. It will help computer scientists address the problems that affect software in general as well as the particular challenges of numerical computation: approximations occurring at all levels, continuous functions replaced by discretized versions, infinite processes replaced by finite ones, and real numbers replaced by finite precision numbers. Divided into three parts, it starts by illustrating some of the difficulties in producing robust and reliable scientific software. Well-known cases of failure are reviewed and the what and why of numerical computations are considered. The second section describes diagnostic tools that can be used to assess the accuracy and reliability of existing scientific applications. In the last section, the authors describe a variety of techniques that can be employed to improve the accuracy and reliability of newly developed scientific applications. The authors of the individual chapters are international experts, many of them members of the IFIP Working Group on Numerical Software.
Book Synopsis Innovative Numerical Modelling in Geomechanics by : Luis Ribeiro e Sousa
Download or read book Innovative Numerical Modelling in Geomechanics written by Luis Ribeiro e Sousa and published by CRC Press. This book was released on 2012-05-03 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the 1990s five books onApplications of Computational Mechanics in Geotechnical Engineering have been published. Innovative Numerical Modelling in Geomechanics is the 6th and final book in this series, and contains papers written by leading experts on computational mechanics. The book treats highly relevant topics in the field of geotechnic
Book Synopsis Mathematics of the Weather by : Jürgen Steppeler
Download or read book Mathematics of the Weather written by Jürgen Steppeler and published by Springer Nature. This book was released on 2022-10-24 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematics of the Weather” details the mathematical techniques used to create numerical models of the atmosphere. It explains methods which are currently considered for practical use in models for the exaflop computers (10**19 operations per seconds). This book is a guide to developing and modifying the mathematical methods used in such models. This includes Implementations in spherical geometry. The books also concentrates on elements of Numerical Weather Predication (NWP) and Computational Fluid Dynamics (CFD).
Book Synopsis Numerical Mathematics and Advanced Applications ENUMATH 2017 by : Florin Adrian Radu
Download or read book Numerical Mathematics and Advanced Applications ENUMATH 2017 written by Florin Adrian Radu and published by Springer. This book was released on 2019-01-05 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, 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. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015).
Book Synopsis Direct and Large-Eddy Simulation by : Bernard J. Geurts
Download or read book Direct and Large-Eddy Simulation written by Bernard J. Geurts and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-12-05 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive overview of the mathematics and physics behind the simulation of turbulent flows and discusses in detail (i) the phenomenology of turbulence in fluid dynamics, (ii) the role of direct and large-eddy simulation in predicting these dynamics, (iii) the multiple considerations underpinning subgrid modelling, and, (iv) the issue of validation and reliability resulting from interacting modelling and numerical errors.
Book Synopsis Uncertainties in Environmental Modelling and Consequences for Policy Making by : Philippe Baveye
Download or read book Uncertainties in Environmental Modelling and Consequences for Policy Making written by Philippe Baveye and published by Springer Science & Business Media. This book was released on 2009-05-14 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling has become in recent years an essential tool for the prediction of environmental change and for the development of sustainable policies. Yet, many of the uncertainties associated with modelling efforts appear poorly understood by many, especially by policy makers. This book attempts for the first time to cover the full range of issues related to model uncertainties, from the subjectivity of setting up a conceptual model of a given system, all the way to communicating the nature of model uncertainties to non-scientists and accounting for model uncertainties in policy decisions. Theoretical chapters, providing background information on specific steps in the modelling process and in the adoption of models by end-users, are complemented by illustrative case studies dealing with soils and global climate change. All the chapters are authored by recognized experts in their respective disciplines, and provide a timely and uniquely comprehensive coverage of an important field.
Book Synopsis Structural Analysis with the Finite Element Method. Linear Statics by : Eugenio Oñate
Download or read book Structural Analysis with the Finite Element Method. Linear Statics written by Eugenio Oñate and published by Springer Science & Business Media. This book was released on 2009-04-29 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content is based on the lecture notes of a course taught by the author for the last 30 years.
Book Synopsis Practical Methods for Simulation of Compressible Flow and Structure Interactions by : Nipun Kwatra
Download or read book Practical Methods for Simulation of Compressible Flow and Structure Interactions written by Nipun Kwatra and published by Stanford University. This book was released on 2011 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a semi-implicit method for simulating inviscid compressible flow and its extensions for strong implicit coupling of compressible flow with Lagrangian solids, and artificial transition of fluid from compressible flow to incompressible flow regime for graphics applications. First we present a novel semi-implicit method for alleviating the stringent CFL condition imposed by the sound speed in simulating inviscid compressible flow with shocks, contacts and rarefactions. The method splits the compressible flow flux into two parts -- an advection part and an acoustic part. The advection part is solved using an explicit scheme, while the acoustic part is solved using an implicit method allowing us to avoid the sound speed imposed CFL restriction. Our method leads to a standard Poisson equation similar to what one would solve for incompressible flow, but has an identity term more similar to a diffusion equation. In the limit as the sound speed goes to infinity, one obtains the Poisson equation for incompressible flow. This implicit pressure solve also lends itself nicely to solve for the pressure and coupling forces at a solid fluid interface. With this pressure solve as the foundation, we then develop a novel method to implicitly two-way couple Eulerian compressible flow to volumetric Lagrangian solids. The method works for both deformable and rigid solids and for arbitrary equations of state. Similar to previous fluid-structure interaction methods, we apply pressure forces to the solid and enforce a velocity boundary condition on the fluid in order to satisfy a no-slip constraint. Unlike previous methods, however, we apply these coupled interactions implicitly by adding the constraint to the pressure system and combining it with any implicit solid forces in order to obtain a strongly coupled system. Because our method handles the fluid-structure interactions implicitly, we avoid introducing any new time step restrictions and obtain stable results even for high density-to-mass ratios, where explicit methods struggle or fail. We exactly conserve momentum and kinetic energy (thermal fluid-structure interactions are not considered) at the fluid-structure interface, and hence naturally handle highly non-linear phenomenon such as shocks, contacts and rarefactions. The implicit pressure solve allows our method to be used for any sound speed efficiently. In particular as the sound speed goes to infinity, we obtain the standard Poisson equation for incompressible flow. This allows our method to work seamlessly and efficiently as the sound speed in the underlying flow field changes. Building on this feature of our method, we next develop a practical approach to integrating shock wave dynamics into traditional smoke simulations. Previous methods for doing this either simplified away the compressible component of the flow and were unable to capture shock fronts or used a prohibitively expensive explicit method that limits the time step of the simulation long after the relevant shock waves and rarefactions have left the domain. Instead, using our semi-implicit formulation allows us to take time steps on the order of fluid velocity. As we handle the acoustic fluid effects implicitly, we can artificially drive the sound speed c of the fluid to infinity without going unstable or driving the time step to zero. This permits the fluid to transition from compressible flow to the far more tractable incompressible flow regime once the interesting compressible flow phenomena (such as shocks) have left the domain of interest, and allows the use of state-of-the-art smoke simulation techniques.
Book Synopsis Mathematical Modeling for Women’s Health by : Ashlee N. Ford Versypt
Download or read book Mathematical Modeling for Women’s Health written by Ashlee N. Ford Versypt and published by Springer Nature. This book was released on with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Software-Enabled Control by : Tariq Samad
Download or read book Software-Enabled Control written by Tariq Samad and published by John Wiley & Sons. This book was released on 2003-05-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses open systems, object orientation, software agents, domain-specific languages, component architectures, as well as the dramatic IT-enabled improvements in memory, communication, and processing resources that are now available for sophisticated control algorithms to exploit. Useful for practitioners and researchers in the fields of real-time systems, aerospace engineering, embedded systems, and artificial intelligence.
