The Convergence Rate of Multi-level Algorithms Applied to the Convection-diffusion Equation PDF Download
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Author: P. M. de Zeeuw
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
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Book Description
Author: P. M. de Zeeuw
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
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Book Description
Author: Stephen F. McCormick
Publisher: SIAM
ISBN: 1611971888
Category : Mathematics
Languages : en
Pages : 292
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Book Description
A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.
Author: Wolfgang Hackbusch
Publisher: Springer Science & Business Media
ISBN: 3642587348
Category : Mathematics
Languages : en
Pages : 344
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Book Description
This volume contains a selection from the papers presented at the Fifth European Multigrid Conference, held in Stuttgart, October 1996. All contributions were carefully refereed. The conference was organized by the Institute for Computer Applications (ICA) of the University of Stuttgart, in cooperation with the GAMM Committee for Scientific Computing, SFB 359 and 404 and the research network WiR Ba-Wü. The list of topics contained lectures on Multigrid Methods: robustness, adaptivity, wavelets, parallelization, application in computational fluid dynamics, porous media flow, optimisation and computational mechanics. A considerable part of the talks focused on algebraic multigrid methods.
Author: Mohamed Benbourenane
Publisher:
ISBN:
Category :
Languages : en
Pages : 288
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Book Description
Author: William O. Bray
Publisher: CRC Press
ISBN: 1000117138
Category : Mathematics
Languages : en
Pages : 465
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Book Description
Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.
Author: Wolfgang Hackbusch
Publisher: Springer
ISBN: 3540473726
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Author: Howard Elman
Publisher: OUP Oxford
ISBN: 0191667927
Category : Mathematics
Languages : en
Pages : 495
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Book Description
This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MATLAB codes that implement the methods described. The focus is on finite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in important problems that model incompressible fluid flow. The problems addressed are the Poisson equation, Convection-Diffusion problem, Stokes problem and Navier-Stokes problem, including new material on time-dependent problems and models of multi-physics. The corresponding iterative algebra based on preconditioned Krylov subspace and multigrid techniques is for symmetric and positive definite, nonsymmetric positive definite, symmetric indefinite and nonsymmetric indefinite matrix systems respectively. For each problem and associated solvers there is a description of how to compute together with theoretical analysis that guides the choice of approaches and describes what happens in practice in the many illustrative numerical results throughout the book (computed with the freely downloadable IFISS software). All of the numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the "computational laboratory " provided by the software. Developments in the field since the first edition was published have been represented in three new chapters covering optimization with PDE constraints (Chapter 5); solution of unsteady Navier-Stokes equations (Chapter 10); solution of models of buoyancy-driven flow (Chapter 11). Each chapter has many theoretical problems and practical computer exercises that involve the use of the IFISS software. This book is suitable as an introduction to iterative linear solvers or more generally as a model of Scientific Computing at an advanced undergraduate or beginning graduate level.
Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 710
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Book Description
Author: D.F. Griffiths
Publisher: Springer
ISBN: 3540388818
Category : Mathematics
Languages : en
Pages : 288
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Book Description
Author: Ulrich Trottenberg
Publisher: Academic Press
ISBN: 9780127010700
Category : Mathematics
Languages : en
Pages : 652
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Book Description
Mathematics of Computing -- Numerical Analysis.
