The Proper Generalized Decomposition for Advanced Numerical Simulations: A Primer
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
2014
|
| Schriftenreihe: | SpringerBriefs in Applied Sciences and Technology
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of high-dimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multi-dimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extra-coordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab© software used to generate these examples |
| Beschreibung: | 1 Online-Ressource (XIII, 117 p.) 34 illus., 8 illus. in color |
| ISBN: | 9783319028651 |
| DOI: | 10.1007/978-3-319-02865-1 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV041471005 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 131210s2014 |||| o||u| ||||||eng d | ||
| 020 | |a 9783319028651 |9 978-3-319-02865-1 | ||
| 024 | 7 | |a 10.1007/978-3-319-02865-1 |2 doi | |
| 035 | |a (OCoLC)865040024 | ||
| 035 | |a (DE-599)BVBBV041471005 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-Aug4 |a DE-92 |a DE-634 |a DE-859 |a DE-898 |a DE-573 |a DE-861 |a DE-706 |a DE-863 |a DE-862 | ||
| 082 | 0 | |a 620.1 |2 23 | |
| 100 | 1 | |a Chinesta, Francisco |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Proper Generalized Decomposition for Advanced Numerical Simulations |b A Primer |c by Francisco Chinesta, Roland Keunings, Adrien Leygue |
| 264 | 1 | |c 2014 | |
| 300 | |a 1 Online-Ressource (XIII, 117 p.) |b 34 illus., 8 illus. in color | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a SpringerBriefs in Applied Sciences and Technology | |
| 500 | |a Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of high-dimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multi-dimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extra-coordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab© software used to generate these examples | ||
| 505 | 0 | |a 1 Introduction -- 2 PGD solution of the Poisson equation -- 3 PGD versus SVD -- 4 The transient diffusion equation -- 5 Parametric models -- 6 Advanced topics | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Computer aided design | |
| 650 | 4 | |a Computer science | |
| 650 | 4 | |a Mechanics, applied | |
| 650 | 4 | |a Theoretical and Applied Mechanics | |
| 650 | 4 | |a Computational Science and Engineering | |
| 650 | 4 | |a Computer-Aided Engineering (CAD, CAE) and Design | |
| 650 | 4 | |a Informatik | |
| 650 | 4 | |a Ingenieurwissenschaften | |
| 700 | 1 | |a Keunings, Roland |e Sonstige |4 oth | |
| 700 | 1 | |a Leygue, Adrien |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-319-02865-1 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917147&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-ENG | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-026917147 | ||
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l BTU01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FHA01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FHI01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FHN01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FHR01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FKE01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FRO01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FWS01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l FWS02 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02865-1 |l UBY01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
Datensatz im Suchindex
| DE-BY-FWS_katkey | 1015974 |
|---|---|
| _version_ | 1806174845385310208 |
| adam_text | THE PROPER GENERALIZED DECOMPOSITION FOR ADVANCED NUMERICAL SIMULATIONS
/ CHINESTA, FRANCISCO
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 INTRODUCTION
2 PGD SOLUTION OF THE POISSON EQUATION
3 PGD VERSUS SVD
4 THE TRANSIENT DIFFUSION EQUATION
5 PARAMETRIC MODELS
6 ADVANCED TOPICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE PROPER GENERALIZED DECOMPOSITION FOR ADVANCED NUMERICAL SIMULATIONS
/ CHINESTA, FRANCISCO
: 2014
ABSTRACT / INHALTSTEXT
MANY PROBLEMS IN SCIENTIFIC COMPUTING ARE INTRACTABLE WITH CLASSICAL
NUMERICAL TECHNIQUES. THESE FAIL, FOR EXAMPLE, IN THE SOLUTION OF
HIGH-DIMENSIONAL MODELS DUE TO THE EXPONENTIAL INCREASE OF THE NUMBER OF
DEGREES OF FREEDOM. RECENTLY, THE AUTHORS OF THIS BOOK AND THEIR
COLLABORATORS HAVE DEVELOPED A NOVEL TECHNIQUE, CALLED PROPER
GENERALIZED DECOMPOSITION (PGD) THAT HAS PROVEN TO BE A SIGNIFICANT STEP
FORWARD. THE PGD BUILDS BY MEANS OF A SUCCESSIVE ENRICHMENT STRATEGY A
NUMERICAL APPROXIMATION OF THE UNKNOWN FIELDS IN A SEPARATED FORM.
ALTHOUGH FIRST INTRODUCED AND SUCCESSFULLY DEMONSTRATED IN THE CONTEXT
OF HIGH-DIMENSIONAL PROBLEMS, THE PGD ALLOWS FOR A COMPLETELY NEW
APPROACH FOR ADDRESSING MORE STANDARD PROBLEMS IN SCIENCE AND
ENGINEERING. INDEED, MANY CHALLENGING PROBLEMS CAN BE EFFICIENTLY CAST
INTO A MULTI-DIMENSIONAL FRAMEWORK, THUS OPENING ENTIRELY NEW SOLUTION
STRATEGIES IN THE PGD FRAMEWORK. FOR INSTANCE, THE MATERIAL PARAMETERS
AND BOUNDARY CONDITIONS APPEARING IN A PARTICULAR MATHEMATICAL MODEL CAN
BE REGARDED AS EXTRA-COORDINATES OF THE PROBLEM IN ADDITION TO THE USUAL
COORDINATES SUCH AS SPACE AND TIME. IN THE PGD FRAMEWORK, THIS ENRICHED
MODEL IS SOLVED ONLY ONCE TO YIELD A PARAMETRIC SOLUTION THAT INCLUDES
ALL PARTICULAR SOLUTIONS FOR SPECIFIC VALUES OF THE PARAMETERS. THE PGD
HAS NOW ATTRACTED THE ATTENTION OF A LARGE NUMBER OF RESEARCH GROUPS
WORLDWIDE. THE PRESENT TEXT IS THE FIRST AVAILABLE BOOK DESCRIBING THE
PGD. IT PROVIDES A VERY READABLE AND PRACTICAL INTRODUCTION THAT ALLOWS
THE READER TO QUICKLY GRASP THE MAIN FEATURES OF THE
METHOD.THROUGHOUT THE BOOK, THE PGD IS APPLIED TO PROBLEMS OF
INCREASING COMPLEXITY, AND THE METHODOLOGY IS ILLUSTRATED BY MEANS OF
CAREFULLY SELECTED NUMERICAL EXAMPLES. MOREOVER, THE READER HAS FREE
ACCESS TO THE MATLAB SOFTWARE USED TO GENERATE THESE EXAMPLES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Chinesta, Francisco |
| author_facet | Chinesta, Francisco |
| author_role | aut |
| author_sort | Chinesta, Francisco |
| author_variant | f c fc |
| building | Verbundindex |
| bvnumber | BV041471005 |
| collection | ZDB-2-ENG |
| contents | 1 Introduction -- 2 PGD solution of the Poisson equation -- 3 PGD versus SVD -- 4 The transient diffusion equation -- 5 Parametric models -- 6 Advanced topics |
| ctrlnum | (OCoLC)865040024 (DE-599)BVBBV041471005 |
| dewey-full | 620.1 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1 |
| dewey-search | 620.1 |
| dewey-sort | 3620.1 |
| dewey-tens | 620 - Engineering and allied operations |
| doi_str_mv | 10.1007/978-3-319-02865-1 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05093nmm a2200613zc 4500</leader><controlfield tag="001">BV041471005</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">131210s2014 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319028651</subfield><subfield code="9">978-3-319-02865-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-02865-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)865040024</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV041471005</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-573</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-863</subfield><subfield code="a">DE-862</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.1</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chinesta, Francisco</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Proper Generalized Decomposition for Advanced Numerical Simulations</subfield><subfield code="b">A Primer</subfield><subfield code="c">by Francisco Chinesta, Roland Keunings, Adrien Leygue</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIII, 117 p.)</subfield><subfield code="b">34 illus., 8 illus. in color</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">SpringerBriefs in Applied Sciences and Technology</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of high-dimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multi-dimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extra-coordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab© software used to generate these examples</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1 Introduction -- 2 PGD solution of the Poisson equation -- 3 PGD versus SVD -- 4 The transient diffusion equation -- 5 Parametric models -- 6 Advanced topics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer aided design</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics, applied</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Theoretical and Applied Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computational Science and Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer-Aided Engineering (CAD, CAE) and Design</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Informatik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ingenieurwissenschaften</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Keunings, Roland</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Leygue, Adrien</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917147&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-ENG</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-026917147</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FHA01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FHI01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FHR01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FKE01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FWS01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">FWS02</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02865-1</subfield><subfield code="l">UBY01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV041471005 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T10:56:00Z |
| institution | BVB |
| isbn | 9783319028651 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026917147 |
| oclc_num | 865040024 |
| open_access_boolean | |
| owner | DE-Aug4 DE-92 DE-634 DE-859 DE-898 DE-BY-UBR DE-573 DE-861 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
| owner_facet | DE-Aug4 DE-92 DE-634 DE-859 DE-898 DE-BY-UBR DE-573 DE-861 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
| physical | 1 Online-Ressource (XIII, 117 p.) 34 illus., 8 illus. in color |
| psigel | ZDB-2-ENG |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| record_format | marc |
| series2 | SpringerBriefs in Applied Sciences and Technology |
| spellingShingle | Chinesta, Francisco The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer 1 Introduction -- 2 PGD solution of the Poisson equation -- 3 PGD versus SVD -- 4 The transient diffusion equation -- 5 Parametric models -- 6 Advanced topics Engineering Computer aided design Computer science Mechanics, applied Theoretical and Applied Mechanics Computational Science and Engineering Computer-Aided Engineering (CAD, CAE) and Design Informatik Ingenieurwissenschaften |
| title | The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer |
| title_auth | The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer |
| title_exact_search | The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer |
| title_full | The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer by Francisco Chinesta, Roland Keunings, Adrien Leygue |
| title_fullStr | The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer by Francisco Chinesta, Roland Keunings, Adrien Leygue |
| title_full_unstemmed | The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer by Francisco Chinesta, Roland Keunings, Adrien Leygue |
| title_short | The Proper Generalized Decomposition for Advanced Numerical Simulations |
| title_sort | the proper generalized decomposition for advanced numerical simulations a primer |
| title_sub | A Primer |
| topic | Engineering Computer aided design Computer science Mechanics, applied Theoretical and Applied Mechanics Computational Science and Engineering Computer-Aided Engineering (CAD, CAE) and Design Informatik Ingenieurwissenschaften |
| topic_facet | Engineering Computer aided design Computer science Mechanics, applied Theoretical and Applied Mechanics Computational Science and Engineering Computer-Aided Engineering (CAD, CAE) and Design Informatik Ingenieurwissenschaften |
| url | https://doi.org/10.1007/978-3-319-02865-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917147&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=026917147&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT chinestafrancisco thepropergeneralizeddecompositionforadvancednumericalsimulationsaprimer AT keuningsroland thepropergeneralizeddecompositionforadvancednumericalsimulationsaprimer AT leygueadrien thepropergeneralizeddecompositionforadvancednumericalsimulationsaprimer |