cam a22 4 4500 338723854 CHVBK 20201204112821.0 150912s2015 xxu 00 eng 978-1-61197-383-9 (IDSBB)006496317 (NEBIS)010352292 (SBT)000770825 (RERO)R008250506 SzZuIDS NEBISr ger SzZuIDS BS/BE A216 rda QA379 s1ma rero 515/.3533 Málek Josef 1963- (DE-588)1055783105 Verfasser aut Preconditioning and the conjugate gradient method in the context of solving PDEs Josef Málek, Zdeněk Strakoṥ Philadelphia Siam [2015] © 2015 104 Seiten SIAM spotlights (IDSBB)006573569 01 01 364214376 p. 85-99 The route from an applied problem to its numerical solution involves modeling, analysis, discretization, and the solution of the discretized problem. This book concerns the interplay of these stages and the challenges that arise. The authors link analysis of PDEs, functional analysis, and calculus of variations with iterative matrix computation using Krylov subspace methods. While preconditioning of the conjugate gradient method is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system, the authors develop connections between preconditioning and PDEs. Additionally, links between the infinite-dimensional formulation of the conjugate gradient method, its discretization and preconditioning are explored. The book is intended for mathematicians, engineers, physicists, chemists, and any other researchers interested in the issues discussed. Aiming to improve understanding between researchers working on different solution stages, the book challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research. CONJUGATE GRADIENT METHOD (NUMERICAL MATHEMATICS) eng (ETHUDK)000044724 ethudk GALERKIN-VERFAHREN (NUMERISCHE MATHEMATIK) ger (ETHUDK)000042981 ethudk ITERATIVE VERFAHREN (NUMERISCHE MATHEMATIK) ger (ETHUDK)000054042 ethudk KRYLOV-SUBSPACE-METHODE (NUMERISCHE MATHEMATIK) ger (ETHUDK)000051308 ethudk LINEARE ELLIPTISCHE DIFFERENTIALGLEICHUNGEN (ANALYSIS) ger (ETHUDK)000037413 ethudk METHODE DER KONJUGIERTEN GRADIENTEN (NUMERISCHE MATHEMATIK) ger (ETHUDK)000044724 ethudk NUMERICAL MATHEMATICS AND COMPUTER APPLICATIONS IN MATHEMATICS eng (ETHUDK)000013635 ethudk ORDNUNGSREDUKTION (NUMERISCHE MATHEMATIK) ger (ETHUDK)000049222 ethudk PARTIAL DIFFERENTIAL EQUATIONS (NUMERICAL MATHEMATICS) eng (ETHUDK)000013656 ethudk u CONJUGATE GRADIENT METHOD (NUMERICAL MATHEMATICS) eng 519.63*8 nebis E1 u NUMERICAL MATHEMATICS AND COMPUTER APPLICATIONS IN MATHEMATICS eng 519.6 nebis E1 u PARTIAL DIFFERENTIAL EQUATIONS (NUMERICAL MATHEMATICS) eng 519.63 nebis E1 u LINEARE ELLIPTISCHE DIFFERENTIALGLEICHUNGEN (ANALYSIS) ger 517.956.22 nebis E1 u METHODE DER KONJUGIERTEN GRADIENTEN (NUMERISCHE MATHEMATIK) ger 519.63*8 nebis E1 u ITERATIVE VERFAHREN (NUMERISCHE MATHEMATIK) ger 519.6,7 nebis E1 u KRYLOV-SUBSPACE-METHODE (NUMERISCHE MATHEMATIK) ger 519.612,2 nebis E1 u ORDNUNGSREDUKTION (NUMERISCHE MATHEMATIK) ger 519.65,3 nebis E1 u GALERKIN-VERFAHREN (NUMERISCHE MATHEMATIK) ger 519.65,2 nebis E1 u MÉTHODE DU GRADIENT CONJUGUÉ (ANALYSE NUMÉRIQUE) fre 519.63*8 nebis E1 u NUMERISCHE MATHEMATIK UND COMPUTERANWENDUNGEN IN DER MATHEMATIK ger 519.6 nebis E1 u ANALYSE NUMÉRIQUE ET APPLICATIONS INFORMATIQUES DANS LES MATHÉMATIQUES fre 519.6 nebis E1 u PARTIELLE DIFFERENTIALGLEICHUNGEN (NUMERISCHE MATHEMATIK) ger 519.63 nebis E1 u ÉQUATIONS AUX DÉRIVÉES PARTIELLES (ANALYSE NUMÉRIQUE) fre 519.63 nebis E1 u LINEAR ELLIPTIC DIFFERENTIAL EQUATIONS (MATHEMATICAL ANALYSIS) eng 517.956.22 nebis E1 u ÉQUATIONS DIFFÉRENTIELLES ELLIPTIQUES LINÉAIRES (ANALYSE MATHÉMATIQUE) fre 517.956.22 nebis E1 u ITERATIVE METHODS (NUMERICAL MATHEMATICS) eng 519.6,7 nebis E1 u MÉTHODES ITÉRATIVES (ANALYSE NUMÉRIQUE) fre 519.6,7 nebis E1 u MÉTHODE DES SOUS-ESPACES DE KRYLOV (ANALYSE NUMÉRIQUE) fre 519.612,2 nebis E1 u KRYLOV SUBSPACE METHOD (NUMERICAL MATHEMATICS) eng 519.612,2 nebis E1 u RÉDUCTION DE L'ORDRE (ANALYSE NUMÉRIQUE) fre 519.65,3 nebis E1 u MODEL REDUCTION (NUMERICAL MATHEMATICS) eng 519.65,3 nebis E1 u MÉTHODE DE GALERKIN (ANALYSE NUMÉRIQUE) fre 519.65,2 nebis E1 u GALERKIN METHOD (NUMERICAL MATHEMATICS) eng 519.65,2 nebis E1 u 515.3533 Equazioni differenziali parziali . Equazioni ellittiche sbt TE Strakoš Zdenek 1959- (DE-588)1029110697 Verfasser aut SIAM spotlights 1 (RERO)R00827398 BK020000 XK020000 XK020000 Metadata rights reserved rero E64-20151130 nebis EN E30MATH E30-20150610 125 E01-20150616 E02120 E02-20150828 E64HM E64-20151130 ma SzBzSBTc NEBIS E30 E30 E30BI MAG 223 IDSBB A216 A216 MAG MAT 65 MA MALEK NELA2161605 IDSBB A216 A216 PR MAT 65 MA MALEK NELA2161605 Zur Ansicht kontaktieren Sie bitte die Bibliothekarin IDSBB 100 1- Málek Josef 1963- (DE-588)1055783105 Verfasser aut IDSBB 490 0- SIAM spotlights (IDSBB)006573569 01 01 364214376 IDSBB 700 1- Strakoš Zdenek 1959- (DE-588)1029110697 Verfasser aut NEBIS 490 -- SIAM spotlights 1 1 (NEBIS)010451992 341819468 NEBIS 700 1- Málek Josef NEBIS 700 1- Strakoš Zdeněk SBT 100 1- Málek Josef SBT 490 -- SIAM Spotlights 1 1 (SBT)000770823 341819468 SBT 700 1- Strakoṥ Zdeněk RERO 100 1- Málek Josef (IDREF)050648195 cre RERO 490 1- SIAM spotlights 1 RERO 700 1- Strakoš Zdeněk 1957- (IDREF)16994770X RERO 830 -- SIAM spotlights 1 (RERO)R00827398 NEBIS EAD50 https://opac.nebis.ch/objects/pdf03/e01_978-1-611973-83-9_01.pdf Titelblatt und Inhaltsverzeichnis VIEW pdf NEBIS EAD50 https://opac.nebis.ch/objects/pdf03/e01_978-1-611973-83-9_02.pdf Abstract / Autoreninformation VIEW pdf SWISSBIB 338723854