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Author : G. J. Shaw
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (599 download)
Download or read book Defect Correction Methods for Systems of Conservation Laws written by G. J. Shaw and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Böhmer
Publisher : Springer Science & Business Media
ISBN 13 : 3709170230
Total Pages : 247 pages
Book Rating : 4.7/5 (91 download)
Download or read book Defect Correction Methods written by K. Böhmer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Stephen F. Mccormick
Publisher : CRC Press
ISBN 13 : 1000147223
Total Pages : 668 pages
Book Rating : 4.0/5 (1 download)
Download or read book multigrid methods written by Stephen F. Mccormick and published by CRC Press. This book was released on 2020-08-12 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
Author : Randall J. LeVeque
Publisher : Birkhauser
ISBN 13 : 9783764324643
Total Pages : 214 pages
Book Rating : 4.3/5 (246 download)
Download or read book Numerical Methods for Conservation Laws written by Randall J. LeVeque and published by Birkhauser. This book was released on 1990-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michal Krizek
Publisher : Springer Science & Business Media
ISBN 13 : 3642185606
Total Pages : 405 pages
Book Rating : 4.6/5 (421 download)
Download or read book Conjugate Gradient Algorithms and Finite Element Methods written by Michal Krizek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. Via their combinations practitioners have been able to solve complicated, direct and inverse, multidemensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems. The aim of this book is to present both methods in the context of complicated problems modeled by linear and nonlinear partial differential equations, to provide an in-depth discussion on their implementation aspects. The authors show that conjugate gradient methods and finite element methods apply to the solution of real-life problems. They address graduate students as well as experts in scientific computing.
Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1624 pages
Book Rating : 4.:/5 (3 download)
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Library of Congress. Cataloging Policy and Support Office
Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.3/5 (91 download)
Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2009 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Hackbusch
Publisher : Springer
ISBN 13 : 3540473726
Total Pages : 342 pages
Book Rating : 4.5/5 (44 download)
Download or read book Multigrid Methods II written by Wolfgang Hackbusch and published by Springer. This book was released on 2006-11-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulrich Trottenberg
Publisher : Academic Press
ISBN 13 : 9780127010700
Total Pages : 652 pages
Book Rating : 4.0/5 (17 download)
Download or read book Multigrid Methods written by Ulrich Trottenberg and published by Academic Press. This book was released on 2001 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author :
Publisher :
ISBN 13 :
Total Pages : 994 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 994 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen F. McCormick
Publisher : SIAM
ISBN 13 : 0898712475
Total Pages : 166 pages
Book Rating : 4.8/5 (987 download)
Download or read book Multilevel Adaptive Methods for Partial Differential Equations written by Stephen F. McCormick and published by SIAM. This book was released on 1989-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques.
Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
ISBN 13 : 3662034905
Total Pages : 595 pages
Book Rating : 4.6/5 (62 download)
Download or read book Riemann Solvers and Numerical Methods for Fluid Dynamics written by Eleuterio F. Toro and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1917, the British scientist L. F. Richardson made the first reported attempt to predict the weather by solving partial differential equations numerically, by hand! It is generally accepted that Richardson's work, though unsuccess ful, marked the beginning of Computational Fluid Dynamics (CFD), a large branch of Scientific Computing today. His work had the four distinguishing characteristics of CFD: a PRACTICAL PROBLEM to solve, a MATHEMATICAL MODEL to represent the problem in the form of a set of partial differen tial equations, a NUMERICAL METHOD and a COMPUTER, human beings in Richardson's case. Eighty years on and these four elements remain the pillars of modern CFD. It is therefore not surprising that the generally accepted definition of CFD as the science of computing numerical solutions to Partial Differential or Integral Equations that are models for fluid flow phenomena, closely embodies Richardson's work. COMPUTERS have, since Richardson's era, developed to unprecedented levels and at an ever decreasing cost. PRACTICAL PROBLEMS to solved nu merically have increased dramatically. In addition to the traditional demands from Meteorology, Oceanography, some branches of Physics and from a range of Engineering Disciplines, there are at present fresh demands from a dynamic and fast-moving manufacturing industry, whose traditional build-test-fix approach is rapidly being replaced by the use of quantitative methods, at all levels. The need for new materials and for decision-making under envi ronmental constraints are increasing sources of demands for mathematical modelling, numerical algorithms and high-performance computing.
Author : Linjin Zheng
Publisher : BoD – Books on Demand
ISBN 13 : 9535102117
Total Pages : 224 pages
Book Rating : 4.5/5 (351 download)
Download or read book Topics in Magnetohydrodynamics written by Linjin Zheng and published by BoD – Books on Demand. This book was released on 2012-03-09 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: To understand plasma physics intuitively one need to master the MHD behaviors. As sciences advance, gap between published textbooks and cutting-edge researches gradually develops. Connection from textbook knowledge to up-to-dated research results can often be tough. Review articles can help. This book contains eight topical review papers on MHD. For magnetically confined fusion one can find toroidal MHD theory for tokamaks, magnetic relaxation process in spheromaks, and the formation and stability of field-reversed configuration. In space plasma physics one can get solar spicules and X-ray jets physics, as well as general sub-fluid theory. For numerical methods one can find the implicit numerical methods for resistive MHD and the boundary control formalism. For low temperature plasma physics one can read theory for Newtonian and non-Newtonian fluids etc.
Author : Dmitri Kuzmin
Publisher : World Scientific
ISBN 13 : 9811278202
Total Pages : 491 pages
Book Rating : 4.8/5 (112 download)
Download or read book Property-preserving Numerical Schemes For Conservation Laws written by Dmitri Kuzmin and published by World Scientific. This book was released on 2023-08-28 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions.An introduction to classical nonlinear stabilization approaches is given in the simple context of one-dimensional finite volume discretizations. Subsequent chapters of Part I are focused on recent extensions to continuous and discontinuous Galerkin methods. Many of the algorithms presented in these chapters were developed by the authors and their collaborators. Part II gives a deeper insight into the mathematical theory of property-preserving numerical schemes. It begins with a review of the convergence theory for finite volume methods and ends with analysis of algebraic flux correction schemes for finite elements. In addition to providing ready-to-use algorithms, this text explains the design principles behind such algorithms and shows how to put theory into practice. Although the book is based on lecture notes written for an advanced graduate-level course, it is also aimed at senior researchers who develop and analyze numerical methods for hyperbolic problems.
Author : F. Brezzi
Publisher : Springer Science & Business Media
ISBN 13 : 8847020891
Total Pages : 981 pages
Book Rating : 4.8/5 (47 download)
Download or read book Numerical Mathematics and Advanced Applications written by F. Brezzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable instrument for gaining a wide-ranging perspective on the latest developments in mathematical aspects of scientific computing, discovering new applications and the most recent developments in long-standing applications. Provides an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.
Author : Edwige Godlewski
Publisher : Springer Science & Business Media
ISBN 13 : 1461207134
Total Pages : 519 pages
Book Rating : 4.4/5 (612 download)
Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the one-dimensional case by finite-difference con servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader's convenience, we shall resume in this Introduction the notions that are necessary for a self-sufficient understanding of this book -the main definitions of hyperbolicity, weak solutions, and entropy present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case.
Author :
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (317 download)
Download or read book High Order Filtering Methods for Approximating Hyberbolic Systems of Conservation Laws written by and published by . This book was released on 1990 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
