Defect Correction Methods

Defect Correction Methods
Author: K. Böhmer
Publisher: Springer Science & Business Media
Total Pages: 247
Release: 2012-12-06
Genre: Mathematics
ISBN: 3709170230

Ten years ago, the term "defect correction" was introduced to characterize a class of methods for the improvement of an approximate solution of an operator equation. This class includes many well-known techniques (e.g. Newton's method) but also some novel approaches which have turned out to be quite efficient. Meanwhile a large number of papers and reports, scattered over many journals and institutions, have appeared in this area. Therefore, a working conference on "Error Asymptotics and Defect Corrections" was organized by K. Bohmer, V. Pereyra and H. J. Stetter at the Mathematisches Forschungsinstitut Oberwolfach in July 1983, a meeting which aimed at bringing together a good number of the scientists who are active in this field. Altogether 26 persons attended, whose interests covered a wide spectrum from theoretical analyses to applications where defect corrections may be utilized; a list of the participants may be found in the Appendix. Most of the colleagues who presented formal lectures at the meeting agreed to publish their reports in this volume. It would be presumptuous to call this book a state-of-the-art report in defect corrections. It is rather a collection of snapshots of activities which have been going on in a number of segments on the frontiers of this area. No systematic coverage has been attempted. Some articles focus strongly on the basic concepts of defect correction; but in the majority of the contributions the defect correction ideas appear rather as instruments for the attainment of some specified goal.

Domain Decomposition Methods in Science and Engineering

Domain Decomposition Methods in Science and Engineering
Author: Ralf Kornhuber
Publisher: Springer Science & Business Media
Total Pages: 686
Release: 2006-03-30
Genre: Mathematics
ISBN: 3540268251

Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry. A series of international conferences starting in 1987 set the stage for the presentation of many meanwhile classical results on substructuring, block iterative methods, parallel and distributed high performance computing etc. This volume contains a selection from the papers presented at the 15th International Domain Decomposition Conference held in Berlin, Germany, July 17-25, 2003 by the world's leading experts in the field. Its special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.

Difference Methods for Singular Perturbation Problems

Difference Methods for Singular Perturbation Problems
Author: Grigory I. Shishkin
Publisher: CRC Press
Total Pages: 409
Release: 2008-09-22
Genre: Mathematics
ISBN: 0203492412

Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods. The first part of the book e

Multigrid

Multigrid
Author: Ulrich Trottenberg
Publisher: Elsevier
Total Pages: 648
Release: 2000-11-20
Genre: Mathematics
ISBN: 0080479561

Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.Multigrid methods are invaluable to researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. They are also becoming increasingly important in economics and financial mathematics.Readers are presented with an invaluable summary covering 25 years of practical experience acquired by the multigrid research group at the Germany National Research Center for Information Technology. The book presents both practical and theoretical points of view.* Covers the whole field of multigrid methods from its elements up to the most advanced applications* Style is essentially elementary but mathematically rigorous* No other book is so comprehensive and written for both practitioners and students

Recent Advances In Numerical Methods And Applications Ii - Proceedings Of The Fourth International Conference

Recent Advances In Numerical Methods And Applications Ii - Proceedings Of The Fourth International Conference
Author: Panayot S Vassilevski
Publisher: World Scientific
Total Pages: 925
Release: 1999-07-05
Genre:
ISBN: 9814531855

This volume contains the proceedings of the 4th International Conference on Numerical Methods and Applications. The major topics covered include: general finite difference, finite volume, finite element and boundary element methods, general numerical linear algebra and parallel computations, numerical methods for nonlinear problems and multiscale methods, multigrid and domain decomposition methods, CFD computations, mathematical modeling in structural mechanics, and environmental and engineering applications. The volume reflects the current research trends in the specified areas of numerical methods and their applications.

Advanced Calculations for Defects in Materials

Advanced Calculations for Defects in Materials
Author: Audrius Alkauskas
Publisher: John Wiley & Sons
Total Pages: 374
Release: 2011-05-16
Genre: Science
ISBN: 3527638539

This book investigates the possible ways of improvement by applying more sophisticated electronic structure methods as well as corrections and alternatives to the supercell model. In particular, the merits of hybrid and screened functionals, as well as of the +U methods are assessed in comparison to various perturbative and Quantum Monte Carlo many body theories. The inclusion of excitonic effects is also discussed by way of solving the Bethe-Salpeter equation or by using time-dependent DFT, based on GW or hybrid functional calculations. Particular attention is paid to overcome the side effects connected to finite size modeling. The editors are well known authorities in this field, and very knowledgeable of past developments as well as current advances. In turn, they have selected respected scientists as chapter authors to provide an expert view of the latest advances. The result is a clear overview of the connections and boundaries between these methods, as well as the broad criteria determining the choice between them for a given problem. Readers will find various correction schemes for the supercell model, a description of alternatives by applying embedding techniques, as well as algorithmic improvements allowing the treatment of an ever larger number of atoms at a high level of sophistication.

Pamphlet

Pamphlet
Author: United States. Office of Education
Publisher:
Total Pages: 638
Release: 1936
Genre: Education
ISBN:

Point Defects in Semiconductors and Insulators

Point Defects in Semiconductors and Insulators
Author: Johann-Martin Spaeth
Publisher: Springer Science & Business Media
Total Pages: 508
Release: 2003-01-22
Genre: Technology & Engineering
ISBN: 9783540426950

The precedent book with the title "Structural Analysis of Point Defects in Solids: An introduction to multiple magnetic resonance spectroscopy" ap peared about 10 years ago. Since then a very active development has oc curred both with respect to the experimental methods and the theoretical interpretation of the experimental results. It would therefore not have been sufficient to simply publish a second edition of the precedent book with cor rections and a few additions. Furthermore the application of the multiple magnetic resonance methods has more and more shifted towards materials science and represents one of the important methods of materials analysis. Multiple magnetic resonances are used less now for "fundamental" studies in solid state physics. Therefore a more "pedestrian" access to the meth ods is called for to help the materials scientist to use them or to appreciate results obtained by using these methods. We have kept the two introduc tory chapters on conventional electron paramagnetic resonance (EPR) of the precedent book which are the base for the multiple resonance methods. The chapter on optical detection of EPR (ODEPR) was supplemented by sections on the structural information one can get from "forbidden" transitions as well as on spatial correlations between defects in the so-called "cross relaxation spectroscopy". High-field ODEPR/ENDOR was also added. The chapter on stationary electron nuclear double resonance (ENDOR) was supplemented by the method of stochastic END OR developed a few years ago in Paderborn which is now also commercially available.

Characterization of Crystal Growth Defects by X-Ray Methods

Characterization of Crystal Growth Defects by X-Ray Methods
Author: B.K. Tanner
Publisher: Springer Science & Business Media
Total Pages: 615
Release: 2013-04-17
Genre: Science
ISBN: 1475711263

This book contains the proceedings of a NATO Advanced Study Institute entitled "Characterization of Crystal Growth Defects by X-ray Methods' held in the University of Durham, England from 29th August to 10th September 1979. The current interest in electronic materials, in particular silicon, gallium aluminium arsenide, and quartz, and the recent availability of synchrotron radiation for X-ray diffraction studies made this Advanced Study Institute particularly timely. Two main themes ran through the course: 1. A survey of the various types of defect occurring in crystal growth, the mechanism of their different methods of generation and their influence on the properties of relativelY perfect crystals. 2. A detailed and advanced course on the observation and characterization of such defects by X-ray methods. The main emphasis was on X-ray topographic techniques but a substantial amount of time was spent on goniometric techniques such as double crystal diffractometry and gamma ray diffraction. The presentation of material in this book reflects these twin themes. Section A is concerned with defects, Section C with techniques and in linking them. Section B provides a concise account of the basic theory necessary for the interpretation of X-ray topographs and diffractometric data. Although the sequence follows roughly the order of presentation at the Advanced Study Institute certain major changes have been made in order to improve the pedagogy. In particular, the first two chapters provide a vital, and seldom articulated, case for the need for characterization for crystals used in device technologies.