Reliable Methods for Computer Simulation

Error Control and Posteriori Estimates

Author: Pekka Neittaanmäki,Sergey R. Repin

Publisher: Elsevier

ISBN: 9780080540504

Category: Mathematics

Page: 316

View: 1208

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker. In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems. The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time. · computable bounds of approximation errors · checking algorithms · iteration processes · finite element methods · elliptic type problems · nonlinear variational problems · variational inequalities
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Numerical Mathematics and Advanced Applications 2011

Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011

Author: Andrea Cangiani,Ruslan L Davidchack,Emmanuil Georgoulis,Alexander N. Gorban,Jeremy Levesley,Michael V. Tretyakov

Publisher: Springer Science & Business Media

ISBN: 3642331343

Category: Mathematics

Page: 859

View: 439

The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific computing, numerical analysis, and practical use of modern numerical techniques and algorithms in various applications. New results on finite element methods, multiscale methods, numerical linear algebra, and finite difference schemes are presented. A range of applications include computational problems from fluid dynamics, materials, image processing, and molecular dynamics.​
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Variational and Quasi-Variational Inequalities in Mechanics

Author: Alexander S. Kravchuk,Pekka J. Neittaanmäki

Publisher: Springer Science & Business Media

ISBN: 1402063776

Category: Technology & Engineering

Page: 337

View: 7590

The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.
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Numerical Methods for Differential Equations, Optimization, and Technological Problems

Dedicated to Professor P. Neittaanmäki on His 60th Birthday

Author: Sergey Repin,Timo Tiihonen,Tero Tuovinen

Publisher: Springer Science & Business Media

ISBN: 9400752873

Category: Technology & Engineering

Page: 444

View: 5176

This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference “Computational Analysis and Optimization” (CAO 2011) held in Jyväskylä, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.
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Adaptive Methods for Partial Differential Equations

Author: Ivo Babushka,Jagdish Chandra,Joseph E. Flaherty

Publisher: SIAM

ISBN: 9780898712421

Category: Mathematics

Page: 265

View: 4238

"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.
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IMACS '91, 13th World Congress on Computation and Applied Mathematics

July 22-26, 1991, Trinity College, Dublin, Ireland : proceedings

Author: John J. H. Miller,International Association for Mathematics and Computers in Simulation,Institute for Numerical Computation and Analysis (Dublin, Ireland)

Publisher: N.A

ISBN: N.A

Category: Computers

Page: 2028

View: 726

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Mathematical Modeling and Computational Intelligence in Engineering Applications

Author: Antônio José da Silva Neto,Orestes Llanes Santiago,Geraldo Nunes Silva

Publisher: Springer

ISBN: 331938869X

Category: Mathematics

Page: 179

View: 9904

This book brings together a rich selection of studies in mathematical modeling and computational intelligence, with application in several fields of engineering, like automation, biomedical, chemical, civil, electrical, electronic, geophysical and mechanical engineering, on a multidisciplinary approach. Authors from five countries and 16 different research centers contribute with their expertise in both the fundamentals and real problems applications based upon their strong background on modeling and computational intelligence. The reader will find a wide variety of applications, mathematical and computational tools and original results, all presented with rigorous mathematical procedures. This work is intended for use in graduate courses of engineering, applied mathematics and applied computation where tools as mathematical and computational modeling, numerical methods and computational intelligence are applied to the solution of real problems.
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Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464964785

Category: Mathematics

Page: 993

View: 7976

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Logic, Operations, and Computational Mathematics and Geometry. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Logic, Operations, and Computational Mathematics and Geometry in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
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Statistical Methods for Reliability Data

Author: William Q. Meeker,Luis A. Escobar

Publisher: John Wiley & Sons

ISBN: 1118625978

Category: Mathematics

Page: 712

View: 6553

Amstat News asked three review editors to rate their top five favorite books in the September 2003 issue. Statistical Methods for Reliability Data was among those chosen. Bringing statistical methods for reliability testing in line with the computer age This volume presents state-of-the-art, computer-based statistical methods for reliability data analysis and test planning for industrial products. Statistical Methods for Reliability Data updates and improves established techniques as it demonstrates how to apply the new graphical, numerical, or simulation-based methods to a broad range of models encountered in reliability data analysis. It includes methods for planning reliability studies and analyzing degradation data, simulation methods used to complement large-sample asymptotic theory, general likelihood-based methods of handling arbitrarily censored data and truncated data, and more. In this book, engineers and statisticians in industry and academia will find: A wealth of information and procedures developed to give products a competitive edge Simple examples of data analysis computed with the S-PLUS system-for which a suite of functions and commands is available over the Internet End-of-chapter, real-data exercise sets Hundreds of computer graphics illustrating data, results of analyses, and technical concepts An essential resource for practitioners involved in product reliability and design decisions, Statistical Methods for Reliability Data is also an excellent textbook for on-the-job training courses, and for university courses on applied reliability data analysis at the graduate level. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon requestfrom the Wiley editorial department.
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Domain Decomposition Methods in Science and Engineering XVII

Author: Ulrich Langer,Marco Discacciati,David E. Keyes,Olof Widlund,Walter Zulehner

Publisher: Springer Science & Business Media

ISBN: 9783540751991

Category: Mathematics

Page: 661

View: 1351

Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.
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Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Author: Martin Fuchs,Gregory Seregin

Publisher: Springer Science & Business Media

ISBN: 9783540413974

Category: Mathematics

Page: 276

View: 571

Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
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Bayesian Thinking, Modeling and Computation

Author: N.A

Publisher: Elsevier

ISBN: 9780080461175

Category: Mathematics

Page: 1062

View: 5587

This volume describes how to develop Bayesian thinking, modelling and computation both from philosophical, methodological and application point of view. It further describes parametric and nonparametric Bayesian methods for modelling and how to use modern computational methods to summarize inferences using simulation. The book covers wide range of topics including objective and subjective Bayesian inferences with a variety of applications in modelling categorical, survival, spatial, spatiotemporal, Epidemiological, software reliability, small area and micro array data. The book concludes with a chapter on how to teach Bayesian thoughts to nonstatisticians. Critical thinking on causal effects Objective Bayesian philosophy Nonparametric Bayesian methodology Simulation based computing techniques Bioinformatics and Biostatistics
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Issues in Biomedical Engineering Research and Application: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464964556

Category: Technology & Engineering

Page: 1451

View: 1002

Issues in Biomedical Engineering Research and Application: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Biomedical Engineering Research and Application. The editors have built Issues in Biomedical Engineering Research and Application: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Biomedical Engineering Research and Application in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Biomedical Engineering Research and Application: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
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