Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318255" target="_blank" >RIV/00216208:11320/15:10318255 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/1.9781611973846" target="_blank" >http://dx.doi.org/10.1137/1.9781611973846</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/1.9781611973846" target="_blank" >10.1137/1.9781611973846</a>
Alternative languages
Result language
angličtina
Original language name
Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Original language description
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 calculusof 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 questio
Czech name
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Czech description
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Classification
Type
B - Specialist book
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
ISBN
978-1-61197-383-9
Number of pages
104
Publisher name
Society for industrial and applied mathematics
Place of publication
Philadelphia
UT code for WoS book
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