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Certified reduced basis methods for parametrized partial differential equations
This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
Springer
2016
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-3-319-22470-1 http://cds.cern.ch/record/2062563 |
_version_ | 1780948542912724992 |
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author | Hesthaven, Jan S Rozza, Gianluigi Stamm, Benjamin |
author_facet | Hesthaven, Jan S Rozza, Gianluigi Stamm, Benjamin |
author_sort | Hesthaven, Jan S |
collection | CERN |
description | This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples. |
id | cern-2062563 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2016 |
publisher | Springer |
record_format | invenio |
spelling | cern-20625632021-04-21T20:03:26Zdoi:10.1007/978-3-319-22470-1http://cds.cern.ch/record/2062563engHesthaven, Jan SRozza, GianluigiStamm, BenjaminCertified reduced basis methods for parametrized partial differential equationsMathematical Physics and MathematicsThis book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.Springeroai:cds.cern.ch:20625632016 |
spellingShingle | Mathematical Physics and Mathematics Hesthaven, Jan S Rozza, Gianluigi Stamm, Benjamin Certified reduced basis methods for parametrized partial differential equations |
title | Certified reduced basis methods for parametrized partial differential equations |
title_full | Certified reduced basis methods for parametrized partial differential equations |
title_fullStr | Certified reduced basis methods for parametrized partial differential equations |
title_full_unstemmed | Certified reduced basis methods for parametrized partial differential equations |
title_short | Certified reduced basis methods for parametrized partial differential equations |
title_sort | certified reduced basis methods for parametrized partial differential equations |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-319-22470-1 http://cds.cern.ch/record/2062563 |
work_keys_str_mv | AT hesthavenjans certifiedreducedbasismethodsforparametrizedpartialdifferentialequations AT rozzagianluigi certifiedreducedbasismethodsforparametrizedpartialdifferentialequations AT stammbenjamin certifiedreducedbasismethodsforparametrizedpartialdifferentialequations |