Topics In Validated Computations

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Topics In Validated Computations

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Author : Jürgen Herzberger
language : en
Publisher: Elsevier Publishing Company
Release Date : 1994

Topics In Validated Computations written by Jürgen Herzberger and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This text provides the interval analysis community with surveys of important recent developments in the creation of validated numerical algorithms. In addition, the publication informs the numerical analysts and appliers of numerical software about the enormous variety of problem-solving algorithms now available, even for sophisticated problems which were beyond reach at the beginning of research some two decades ago. Contributions are sourced from a variety of international experts and together these form a textbook collection of 14 non-overlapping multidisciplinary sections. in interval arithmetic, whilst the concluding chapter offers instructions on how to implement interval algorithms. Other problem areas addressed in the bulk of the volume include: systems of nonlinear equations, simultaneous methods for polynomial zeros, linear systems, matrix inversion, matrix eigenvalue problems, eigenvalues of selfadjoint problems, ODE's, PDE's, optimization, problems in engineering, and complexity considerations in linear interval problems.

Verification And Validation In Computational Fluid Dynamics

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Author : William L. Oberkampf
language : en
Publisher:
Release Date : 2002

Verification And Validation In Computational Fluid Dynamics written by William L. Oberkampf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computational fluid dynamics categories.

Encyclopedia Of Optimization

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Author : Christodoulos A. Floudas
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-04

Encyclopedia Of Optimization written by Christodoulos A. Floudas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-04 with Mathematics categories.

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Computational Methods For Communication Science

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Author : Wouter van Atteveldt
language : en
Publisher: Routledge
Release Date : 2021-03-29

Computational Methods For Communication Science written by Wouter van Atteveldt and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-29 with Language Arts & Disciplines categories.

Computational Methods for Communication Science showcases the use of innovative computational methods in the study of communication. This book discusses the validity of using big data in communication science and showcases a number of new methods and applications in the fields of text and network analysis. Computational methods have the potential to greatly enhance the scientific study of communication because they allow us to move towards collaborative large-N studies of actual behavior in its social context. This requires us to develop new skills and infrastructure and meet the challenges of open, valid, reliable, and ethical "big data" research. This volume brings together a number of leading scholars in this emerging field, contributing to the increasing development and adaptation of computational methods in communication science. The chapters in this book were originally published as a special issue of the journal Communication Methods and Measures.

Verification Validation And Predictive Capability In Computational Engineering And Physics

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Author : William L. Oberkampf
language : en
Publisher:
Release Date : 2003

Verification Validation And Predictive Capability In Computational Engineering And Physics written by William L. Oberkampf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computer simulation categories.

Developers of computer codes, analysts who use the codes, and decision makers who rely on the results of the analyses face a critical question: How should confidence in modeling and simulation be critically assessed? Verification and validation (V & V) of computational simulations are the primary methods for building and quantifying this confidence. Briefly, verification is the assessment of the accuracy of the solution to a computational model. Validation is the assessment of the accuracy of a computational simulation by comparison with experimental data. In verification, the relationship of the simulation to the real world is not an issue. In validation, the relationship between computation and the real world, i.e., experimental data, is the issue. This paper presents our viewpoint of the state of the art in V & V in computational physics. (In this paper we refer to all fields of computational engineering and physics, e.g., computational fluid dynamics, computational solid mechanics, structural dynamics, shock wave physics, computational chemistry, etc., as computational physics.) We do not provide a comprehensive review of the multitudinous contributions to V & V, although we do reference a large number of previous works from many fields. We have attempted to bring together many different perspectives on V & V, highlight those perspectives that are effective from a practical engineering viewpoint, suggest future research topics, and discuss key implementation issues that are necessary to improve the effectiveness of V & V. We describe our view of the framework in which predictive capability relies on V & V, as well as other factors that affect predictive capability. Our opinions about the research needs and management issues in V & V are very practical: What methods and techniques need to be developed and what changes in the views of management need to occur to increase the usefulness, reliability, and impact of computational physics for decision making about engineering systems? We review the state of the art in V & V over a wide range of topics, for example, prioritization of V & V activities using the Phenomena Identification and Ranking Table (PIRT), code verification, software quality assurance (SQA), numerical error estimation, hierarchical experiments for validation, characteristics of validation experiments, the need to perform nondeterministic computational simulations in comparisons with experimental data, and validation metrics. We then provide an extensive discussion of V & V research and implementation issues that we believe must be addressed for V & V to be more effective in improving confidence in computational predictive capability. Some of the research topics addressed are development of improved procedures for the use of the PIRT for prioritizing V & V activities, the method of manufactured solutions for code verification, development and use of hierarchical validation diagrams, and the construction and use of validation metrics incorporating statistical measures. Some of the implementation topics addressed are the needed management initiatives to better align and team computationalists and experimentalists in conducting validation activities, the perspective of commercial software companies, the key role of analysts and decision makers as code customers, obstacles to the improved effectiveness of V & V, effects of cost and schedule constraints on practical applications in industrial settings, and the role of engineering standards committees in documenting best practices for V & V.

Scientific Computing And Validated Numerics

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Author : G. Alefeld
language : en
Publisher: De Gruyter Akademie Forschung
Release Date : 1996

Scientific Computing And Validated Numerics written by G. Alefeld and has been published by De Gruyter Akademie Forschung this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

The International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics SCAN is held biannually, the fourth conference took place in Wuppertal 1995. This volume contains contributions from outstanding research specialists based on their presentations at SCAN-95. It covers all aspects of scientific computing with validation, starting with the latest developments in the design of floating point units together with algorithms for floating point operations and elementary function evaluations with maximum accuracy. The book continues by treating scientific computing methods for many areas of applied mathematics such as numerical linear algebra, nonlinear equations, global optimization, ordinary and partial differential equations and dynamical systems. Some computer science aspects like complexity are also considered as are examples where validation methods have successfully be used in applications from the engineering sciences.

Interval Computations

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Author :
language : en
Publisher:
Release Date : 1993

Interval Computations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Interval analysis (Mathematics) categories.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1991

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Aeronautics categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2004

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Theory And Numerics Of Ordinary And Partial Differential Equations

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Author : M. Ainsworth
language : en
Publisher:
Release Date : 1995

Theory And Numerics Of Ordinary And Partial Differential Equations written by M. Ainsworth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

This book surveys the most recent research in six key areas related to numerical solutions of differential equations. It covers guaranteed error bounds for ordinary differential equations; an introduction to computational methods for differential equations; numerical solution of differential-algebraic equations, boundary element methods; and perturbation theory for infinite dimensional dynamical systems. It draws together a method that is currently only available in journals, introducing the reader to important current research. This book is written at a level for graduate students and researchers in computational mathematics and in application areas in physics and engineering.