Reduced basis methods for partial differential equations: an introduction
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
[2016]
|
| Series: | UNITEXT
92 |
| Subjects: | |
| Online Access: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online Ressource (XIV, 296 Seiten, 62 illus., 35 illus. in color) |
| ISBN: | 9783319154312 |
| ISSN: | 2038-5714 |
| DOI: | 10.1007/978-3-319-15431-2 |
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Record in the Search Index
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| adam_text | REDUCED BASIS METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
/ QUARTERONI, ALFIO
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 INTRODUCTION
2 REPRESENTATIVE PROBLEMS: ANALYSIS AND (HIGH-FIDELITY) APPROXIMATION
3 GETTING PARAMETERS INTO PLAY
4 RB METHOD: BASIC PRINCIPLE, BASIC PROPERTIES
5 CONSTRUCTION OF REDUCED BASIS SPACES
6 ALGEBRAIC AND GEOMETRICAL STRUCTURE
7 RB METHOD IN ACTIONS
8 EXTENSION TO NONAFFINE PROBLEMS
9 EXTENSION TO NONLINEAR PROBLEMS
10 REDUCTION AND CONTROL: A NATURAL INTERPLAY
11 FURTHER EXTENSIONS
12 APPENDIX A ELEMENTS OF FUNCTIONAL ANALYSIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
REDUCED BASIS METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
/ QUARTERONI, ALFIO
: 2016
ABSTRACT / INHALTSTEXT
THIS BOOK PROVIDES A BASIC INTRODUCTION TO REDUCED BASIS (RB) METHODS
FOR PROBLEMS INVOLVING THE REPEATED SOLUTION OF PARTIAL DIFFERENTIAL
EQUATIONS (PDES) ARISING FROM ENGINEERING AND APPLIED SCIENCES, SUCH AS
PDES DEPENDING ON SEVERAL PARAMETERS AND PDE-CONSTRAINED OPTIMIZATION.
THE BOOK PRESENTS A GENERAL MATHEMATICAL FORMULATION OF RB METHODS,
ANALYZES THEIR FUNDAMENTAL THEORETICAL PROPERTIES, DISCUSSES THE RELATED
ALGORITHMIC AND IMPLEMENTATION ASPECTS, AND HIGHLIGHTS THEIR BUILT-IN
ALGEBRAIC AND GEOMETRIC STRUCTURES. MORE SPECIFICALLY, THE AUTHORS
DISCUSS ALTERNATIVE STRATEGIES FOR CONSTRUCTING ACCURATE RB SPACES
USINGGREEDY ALGORITHMS AND PROPER ORTHOGONAL
DECOMPOSITIONTECHNIQUES, INVESTIGATE THEIR APPROXIMATION PROPERTIES
AND ANALYZE OFFLINE-ONLINE DECOMPOSITION STRATEGIES AIMED AT THE
REDUCTION OF COMPUTATIONAL COMPLEXITY. FURTHERMORE, THEY CARRY OUT BOTH
A PRIORI AND A POSTERIORI ERROR ANALYSIS. THE WHOLE MATHEMATICAL
PRESENTATION IS MADE MORE STIMULATING BY THE USE OF REPRESENTATIVE
EXAMPLES OF APPLICATIVE INTEREST IN THE CONTEXT OF BOTH LINEAR AND
NONLINEAR PDES.MOREOVER, THE INCLUSION OF MANY PSEUDOCODES ALLOWS THE
READER TO EASILY IMPLEMENT THE ALGORITHMS ILLUSTRATED THROUGHOUT THE
TEXT. THE BOOK WILL BE IDEAL FOR UPPER UNDERGRADUATE STUDENTS AND, MORE
GENERALLY, PEOPLE INTERESTED IN SCIENTIFIC COMPUTING
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Quarteroni, Alfio 1952- Manzoni, Andrea 1984- Negri, Federico 1987- |
| author_GND | (DE-588)120370158 (DE-588)1076580386 (DE-588)1076580890 |
| author_facet | Quarteroni, Alfio 1952- Manzoni, Andrea 1984- Negri, Federico 1987- |
| author_role | aut aut aut |
| author_sort | Quarteroni, Alfio 1952- |
| author_variant | a q aq a m am f n fn |
| building | Verbundindex |
| bvnumber | BV043212000 |
| classification_rvk | SK 540 SK 910 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)920934751 (DE-599)BVBBV043212000 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-15431-2 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:20:41Z |
| institution | BVB |
| isbn | 9783319154312 |
| issn | 2038-5714 |
| language | English |
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| series2 | UNITEXT |
| spelling | Quarteroni, Alfio 1952- Verfasser (DE-588)120370158 aut Reduced basis methods for partial differential equations an introduction Alfio Quarteroni, Andrea Manzoni, Federico Negri Cham Springer [2016] © 2016 1 Online Ressource (XIV, 296 Seiten, 62 illus., 35 illus. in color) txt rdacontent c rdamedia cr rdacarrier UNITEXT volume 92 2038-5714 Mathematics Partial differential equations Mathematical models Applied mathematics Engineering mathematics Fluid mechanics Partial Differential Equations Mathematical Modeling and Industrial Mathematics Appl.Mathematics/Computational Methods of Engineering Engineering Fluid Dynamics Mathematik Mathematisches Modell Reduzierte-Basis-Methode (DE-588)4228198-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Reduzierte-Basis-Methode (DE-588)4228198-2 s DE-604 Manzoni, Andrea 1984- Verfasser (DE-588)1076580386 aut Negri, Federico 1987- Verfasser (DE-588)1076580890 aut Erscheint auch als Druckausgabe 978-3-319-15430-5 UNITEXT 92 (DE-604)BV043645010 92 https://doi.org/10.1007/978-3-319-15431-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028635138&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028635138&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Quarteroni, Alfio 1952- Manzoni, Andrea 1984- Negri, Federico 1987- Reduced basis methods for partial differential equations an introduction UNITEXT Mathematics Partial differential equations Mathematical models Applied mathematics Engineering mathematics Fluid mechanics Partial Differential Equations Mathematical Modeling and Industrial Mathematics Appl.Mathematics/Computational Methods of Engineering Engineering Fluid Dynamics Mathematik Mathematisches Modell Reduzierte-Basis-Methode (DE-588)4228198-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4228198-2 (DE-588)4044779-0 |
| title | Reduced basis methods for partial differential equations an introduction |
| title_auth | Reduced basis methods for partial differential equations an introduction |
| title_exact_search | Reduced basis methods for partial differential equations an introduction |
| title_full | Reduced basis methods for partial differential equations an introduction Alfio Quarteroni, Andrea Manzoni, Federico Negri |
| title_fullStr | Reduced basis methods for partial differential equations an introduction Alfio Quarteroni, Andrea Manzoni, Federico Negri |
| title_full_unstemmed | Reduced basis methods for partial differential equations an introduction Alfio Quarteroni, Andrea Manzoni, Federico Negri |
| title_short | Reduced basis methods for partial differential equations |
| title_sort | reduced basis methods for partial differential equations an introduction |
| title_sub | an introduction |
| topic | Mathematics Partial differential equations Mathematical models Applied mathematics Engineering mathematics Fluid mechanics Partial Differential Equations Mathematical Modeling and Industrial Mathematics Appl.Mathematics/Computational Methods of Engineering Engineering Fluid Dynamics Mathematik Mathematisches Modell Reduzierte-Basis-Methode (DE-588)4228198-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Partial differential equations Mathematical models Applied mathematics Engineering mathematics Fluid mechanics Partial Differential Equations Mathematical Modeling and Industrial Mathematics Appl.Mathematics/Computational Methods of Engineering Engineering Fluid Dynamics Mathematik Mathematisches Modell Reduzierte-Basis-Methode Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-3-319-15431-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028635138&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028635138&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV043645010 |
| work_keys_str_mv | AT quarteronialfio reducedbasismethodsforpartialdifferentialequationsanintroduction AT manzoniandrea reducedbasismethodsforpartialdifferentialequationsanintroduction AT negrifederico reducedbasismethodsforpartialdifferentialequationsanintroduction |