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Verifying Calculations Forty Years On
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Book Synopsis Verifying Calculations - Forty Years On by : Ludovic Chamoin
Download or read book Verifying Calculations - Forty Years On written by Ludovic Chamoin and published by Springer. This book was released on 2015-08-05 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work provides an overview of a posteriori error assessment techniques for Finite Element (FE) based numerical models. These tools aim at estimating and controlling the discretization error in scientific computational models, being the basis for the numerical verification of the FE solutions. The text discusses the capabilities and limitations of classical methods to build error estimates which can be used to control the quality of numerical simulations and drive adaptive algorithms, with a focus on Computational Mechanics engineering applications. Fundamentals principles of residual methods, smoothing (recovery) methods, and constitutive relation error (duality based) methods are thus addressed along the manuscript. Attention is paid to recent advances and forthcoming research challenges on related topics. The book constitutes a useful guide for students, researchers, or engineers wishing to acquire insights into state-of-the-art techniques for numerical verification.
Book Synopsis Error Control, Adaptive Discretizations, and Applications, Part 2 by :
Download or read book Error Control, Adaptive Discretizations, and Applications, Part 2 written by and published by Elsevier. This book was released on 2024-11-08 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Error Control, Adaptive Discretizations, and Applications, Volume 59, Part Two highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this release cover hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems,An anisotropic mesh adaptation method based on gradient recovery and optimal shape elements, and Model reduction techniques for parametrized nonlinear partial differential equations. - Covers multi-scale modeling - Includes updates on data-driven modeling - Presents the latest information on large deformations of multi-scale materials
Book Synopsis Snapshot-Based Methods and Algorithms by : Peter Benner
Download or read book Snapshot-Based Methods and Algorithms written by Peter Benner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-12-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This second volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.
Book Synopsis Error Estimates for Advanced Galerkin Methods by : Marcus Olavi Rüter
Download or read book Error Estimates for Advanced Galerkin Methods written by Marcus Olavi Rüter and published by Springer Nature. This book was released on 2019-11-07 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics. It also includes detailed derivations of these procedures to offer insights into the concepts used to control the errors obtained from employing Galerkin methods in finite and linearized hyperelasticity. The Galerkin methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method. In particular, this monograph focuses on the systematical derivation of the shape functions used to construct both Galerkin mesh-based and meshfree methods. The mesh-based methods considered are the (conventional) displacement-based, (dual-)mixed, smoothed, and extended finite element methods. In addition, it introduces the element-free Galerkin and reproducing kernel particle methods as representatives of a class of Galerkin meshfree methods. Including illustrative numerical examples relevant to engineering with an emphasis on elastic fracture mechanics problems, this monograph is intended for students, researchers, and practitioners aiming to increase the reliability of their numerical simulations and wanting to better grasp the concepts of Galerkin methods and associated error estimation procedures.
Book Synopsis Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations by : Jared Speck
Download or read book Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations written by Jared Speck and published by American Mathematical Soc.. This book was released on 2016-12-07 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1848 James Challis showed that smooth solutions to the compressible Euler equations can become multivalued, thus signifying the onset of a shock singularity. Today it is known that, for many hyperbolic systems, such singularities often develop. However, most shock-formation results have been proved only in one spatial dimension. Serge Alinhac's groundbreaking work on wave equations in the late 1990s was the first to treat more than one spatial dimension. In 2007, for the compressible Euler equations in vorticity-free regions, Demetrios Christodoulou remarkably sharpened Alinhac's results and gave a complete description of shock formation. In this monograph, Christodoulou's framework is extended to two classes of wave equations in three spatial dimensions. It is shown that if the nonlinear terms fail to satisfy the null condition, then for small data, shocks are the only possible singularities that can develop. Moreover, the author exhibits an open set of small data whose solutions form a shock, and he provides a sharp description of the blow-up. These results yield a sharp converse of the fundamental result of Christodoulou and Klainerman, who showed that small-data solutions are global when the null condition is satisfied. Readers who master the material will have acquired tools on the cutting edge of PDEs, fluid mechanics, hyperbolic conservation laws, wave equations, and geometric analysis.
Author :Office of The Federal Register Publisher :IntraWEB, LLC and Claitor's Law Publishing ISBN 13 :1640244263 Total Pages :637 pages Book Rating :4.6/5 (42 download)
Book Synopsis 2018 CFR Annual Print Title 40 Protection of Environment - Part 1060 to End by : Office of The Federal Register
Download or read book 2018 CFR Annual Print Title 40 Protection of Environment - Part 1060 to End written by Office of The Federal Register and published by IntraWEB, LLC and Claitor's Law Publishing. This book was released on 2018-07-01 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Volume 37) Parts 1060 -End
Author :Office of The Federal Register Publisher :IntraWEB, LLC and Claitor's Law Publishing ISBN 13 :1640241817 Total Pages :631 pages Book Rating :4.6/5 (42 download)
Book Synopsis 2017 CFR Annual Print Title 40 Protection of Environment - Part 1060 to End by : Office of The Federal Register
Download or read book 2017 CFR Annual Print Title 40 Protection of Environment - Part 1060 to End written by Office of The Federal Register and published by IntraWEB, LLC and Claitor's Law Publishing. This book was released on 2017-07-01 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Office of The Federal Register, Enhanced by IntraWEB, LLC Publisher :IntraWEB, LLC and Claitor's Law Publishing ISBN 13 :0160912008 Total Pages :1226 pages Book Rating :4.1/5 (69 download)
Book Synopsis Title 40 Protection of Environment Parts 72 to 80 (Revised as of July 1, 2013) by : Office of The Federal Register, Enhanced by IntraWEB, LLC
Download or read book Title 40 Protection of Environment Parts 72 to 80 (Revised as of July 1, 2013) written by Office of The Federal Register, Enhanced by IntraWEB, LLC and published by IntraWEB, LLC and Claitor's Law Publishing. This book was released on 2014-07-01 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 40 CFR Protection of Environment
Author :U. s. Government Printing Office Publisher :Government Printing Office ISBN 13 :9780160889172 Total Pages :1220 pages Book Rating :4.8/5 (891 download)
Book Synopsis Code of Federal Regulations, Title 40, Protection of Environment, Pt. 72-80, Revised as of July 1, 2011 by : U. s. Government Printing Office
Download or read book Code of Federal Regulations, Title 40, Protection of Environment, Pt. 72-80, Revised as of July 1, 2011 written by U. s. Government Printing Office and published by Government Printing Office. This book was released on 2011-10-25 with total page 1220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Code of Federal Regulations, Title 40, Protection of Environment, Pt. 72-80, Revised as of July 1, 2009 by :
Download or read book Code of Federal Regulations, Title 40, Protection of Environment, Pt. 72-80, Revised as of July 1, 2009 written by and published by Government Printing Office. This book was released on 2009-10-20 with total page 1160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Office of The Federal Register Publisher :IntraWEB, LLC and Claitor's Law Publishing ISBN 13 :1640244077 Total Pages :645 pages Book Rating :4.6/5 (42 download)
Book Synopsis 2018 CFR Annual Print Title 40 Protection of Environment - Parts 72 to 79 by : Office of The Federal Register
Download or read book 2018 CFR Annual Print Title 40 Protection of Environment - Parts 72 to 79 written by Office of The Federal Register and published by IntraWEB, LLC and Claitor's Law Publishing. This book was released on 2018-07-01 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Volume 18) Parts 72 -79 (Cover)
Author :Office of The Federal Register Publisher :IntraWEB, LLC and Claitor's Law Publishing ISBN 13 :1640241620 Total Pages :645 pages Book Rating :4.6/5 (42 download)
Book Synopsis 2017 CFR Annual Print Title 40 Protection of Environment - Parts 72 to 79 by : Office of The Federal Register
Download or read book 2017 CFR Annual Print Title 40 Protection of Environment - Parts 72 to 79 written by Office of The Federal Register and published by IntraWEB, LLC and Claitor's Law Publishing. This book was released on 2017-07-01 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Code of Federal Regulations, Title 40, Protection of Environment, PT. 72-80, Revised as of July 1, 2010 by :
Download or read book Code of Federal Regulations, Title 40, Protection of Environment, PT. 72-80, Revised as of July 1, 2010 written by and published by Government Printing Office. This book was released on 2010-10-29 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Principles and Development of the Calculator and Other Seminal Writings by : Charles Babbage
Download or read book On the Principles and Development of the Calculator and Other Seminal Writings written by Charles Babbage and published by Courier Corporation. This book was released on 2013-10-17 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Babbage (1792–1871) articulated the principles behind modern computing machines. This compilation of his writings, plus those of several of his contemporaries, illuminates the early history of the calculator.
Book Synopsis Computer Arithmetic and Self-Validating Numerical Methods by : Christian Ullrich
Download or read book Computer Arithmetic and Self-Validating Numerical Methods written by Christian Ullrich and published by Academic Press. This book was released on 2014-05-10 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and Reports in Mathematics in Science and Engineering, Volume VII: Computer Arithmetic and Self-Validating Numerical Methods compiles papers presented at the first international conference on "Computer Arithmetic and Self-Validating Numerical Methods, held in Basel from October 2 to 6, 1989. This book begins by providing a tutorial introduction to computer arithmetic with operations of maximum accuracy, differentiation arithmetic and enclosure methods, and programming languages for self-validating numerical methods. The rest of the chapters discuss the determination of guaranteed bounds for eigenvalues by variational methods and guaranteed inclusion of solutions of differential equations. An appendix covering the IMACS-GAMM resolution on computer arithmetic is provided at the end of this publication. This volume is recommended for researchers and professionals working on computer arithmetic and self-validating numerical methods.
Book Synopsis British and Foreign Medico-chirurgical Review by :
Download or read book British and Foreign Medico-chirurgical Review written by and published by . This book was released on 1855 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Office of the Federal Register (U.S.) Staff Publisher :Government Printing Office ISBN 13 :9780160889349 Total Pages :988 pages Book Rating :4.8/5 (893 download)
Book Synopsis Code of Federal Regulations, Title 40, Protection of Environment, Pt. 1000-End, Revised as of July 1, 2011 by : Office of the Federal Register (U.S.) Staff
Download or read book Code of Federal Regulations, Title 40, Protection of Environment, Pt. 1000-End, Revised as of July 1, 2011 written by Office of the Federal Register (U.S.) Staff and published by Government Printing Office. This book was released on 2011-09-12 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt:
