Reliable methods for computer simulation: error control and a posteriori estimates

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliab...

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Detalles Bibliográficos
Autores principales: Neittaanmäki, P, Repin, S
Lenguaje:eng
Publicado: North-Holland 2004
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/831005
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author Neittaanmäki, P
Repin, S
author_facet Neittaanmäki, P
Repin, S
author_sort Neittaanmäki, P
collection CERN
description Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.In this book, we are chie
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
publisher North-Holland
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spelling cern-8310052021-04-22T02:23:39Zhttp://cds.cern.ch/record/831005engNeittaanmäki, PRepin, SReliable methods for computer simulation: error control and a posteriori estimatesMathematical Physics and MathematicsRecent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.In this book, we are chieNorth-Hollandoai:cds.cern.ch:8310052004
spellingShingle Mathematical Physics and Mathematics
Neittaanmäki, P
Repin, S
Reliable methods for computer simulation: error control and a posteriori estimates
title Reliable methods for computer simulation: error control and a posteriori estimates
title_full Reliable methods for computer simulation: error control and a posteriori estimates
title_fullStr Reliable methods for computer simulation: error control and a posteriori estimates
title_full_unstemmed Reliable methods for computer simulation: error control and a posteriori estimates
title_short Reliable methods for computer simulation: error control and a posteriori estimates
title_sort reliable methods for computer simulation: error control and a posteriori estimates
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/831005
work_keys_str_mv AT neittaanmakip reliablemethodsforcomputersimulationerrorcontrolandaposterioriestimates
AT repins reliablemethodsforcomputersimulationerrorcontrolandaposterioriestimates

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