Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs is popular PDF and ePub book, written by Josef Malek in 2014-12-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs can be Read Online from any device for your convenience.
Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs Book PDF Summary
Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem. The book?s central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together. This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research.
Detail Book of Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs PDF
- Author : Josef Malek
- Release : 22 December 2014
- Publisher : SIAM
- ISBN : 9781611973846
- Genre : Mathematics
- Total Page : 104 pages
- Language : English
- PDF File Size : 19,9 Mb
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