Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs

Popis výsledku anglicky

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

Druh

B - Odborná kniha

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/LL1202" target="_blank" >LL1202: Materiály s implicitními konstitutivními vztahy: Od teorie přes redukci modelů k efektivním numerickým metodám</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

978-1-61197-383-9

Počet stran knihy

104

Název nakladatele

Society for industrial and applied mathematics

Místo vydání

Philadelphia

Kód UT WoS knihy

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