Preconditioners for Sequences of Weighted Linear Systems PDF Download
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Author: Venansius Baryamureeba
Publisher:
ISBN:
Category :
Languages : en
Pages : 50
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Author: Venansius Baryamureeba
Publisher:
ISBN:
Category :
Languages : en
Pages : 50
Get Book Here
Book Description
Author: Venansius Baryamureeba
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Author: Yousef Saad
Publisher: SIAM
ISBN: 0898715342
Category : Mathematics
Languages : en
Pages : 537
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Book Description
Mathematics of Computing -- General.
Author: Venansius Baryamureeba
Publisher:
ISBN:
Category :
Languages : en
Pages : 60
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Author: Gabriele Ciaramella
Publisher: SIAM
ISBN: 1611976901
Category : Mathematics
Languages : en
Pages : 285
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Book Description
Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.
Author: Angela Kunoth
Publisher: Springer
ISBN: 331994911X
Category : Mathematics
Languages : en
Pages : 325
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Book Description
This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis. The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.
Author: Dag Haugland
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
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Author: Antonella Zanna
Publisher:
ISBN:
Category :
Languages : en
Pages : 56
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Author: Yngve Lamo
Publisher:
ISBN:
Category :
Languages : en
Pages : 48
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Author: Eirik Rosnes
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 44
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