Spaces of measures and their applications to structured population models:
Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications...
Gespeichert in:
| Beteiligte Personen: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2022
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
36 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/9781009004770 https://doi.org/10.1017/9781009004770 https://doi.org/10.1017/9781009004770 |
| Zusammenfassung: | Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 27 Sep 2021) Analytical setting -- Structured population models on state space R -- Structured population models on proper spaces -- Numerical methods for structured population models -- Recent developments and future perspectives |
| Umfang: | 1 Online-Ressource (xi, 308 Seiten) |
| ISBN: | 9781009004770 |
| DOI: | 10.1017/9781009004770 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV047568966 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 211102s2021 xx o|||| 00||| eng d | ||
| 020 | |a 9781009004770 |c Online |9 978-1-00-900477-0 | ||
| 024 | 7 | |a 10.1017/9781009004770 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781009004770 | ||
| 035 | |a (OCoLC)1284785453 | ||
| 035 | |a (DE-599)BVBBV047568966 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 304.601/51 | |
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 100 | 1 | |a Düll, Christian |d 1994- |0 (DE-588)1180545761 |4 aut | |
| 245 | 1 | 0 | |a Spaces of measures and their applications to structured population models |c Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2022 | |
| 300 | |a 1 Online-Ressource (xi, 308 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge monographs on applied and computational mathematics | |
| 490 | 0 | |a 36 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 27 Sep 2021) | ||
| 500 | |a Analytical setting -- Structured population models on state space R -- Structured population models on proper spaces -- Numerical methods for structured population models -- Recent developments and future perspectives | ||
| 520 | |a Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research | ||
| 650 | 4 | |a Population / Mathematical models | |
| 650 | 4 | |a Functions of bounded variation | |
| 650 | 4 | |a Lipschitz spaces | |
| 650 | 4 | |a Metric spaces | |
| 650 | 4 | |a Radon measures | |
| 650 | 4 | |a Biology / Mathematical models | |
| 650 | 0 | 7 | |a Populationsbiologie |0 (DE-588)4046800-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Biomathematik |0 (DE-588)4139408-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Biomathematik |0 (DE-588)4139408-2 |D s |
| 689 | 0 | 1 | |a Populationsbiologie |0 (DE-588)4046800-8 |D s |
| 689 | 0 | 2 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Gwiazda, Piotr |0 (DE-588)1053844778 |4 aut | |
| 700 | 1 | |a Marciniak-Czochra, Anna |d 1974- |0 (DE-588)1044379626 |4 aut | |
| 700 | 1 | |a Skrzeczkowski, Jakub |d ca. 20./21. Jh. |0 (DE-588)1244870765 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-31-651910-3 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781009004770 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-032954629 | |
| 966 | e | |u https://doi.org/10.1017/9781009004770 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781009004770 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1818988441226969088 |
|---|---|
| any_adam_object | |
| author | Düll, Christian 1994- Gwiazda, Piotr Marciniak-Czochra, Anna 1974- Skrzeczkowski, Jakub ca. 20./21. Jh |
| author_GND | (DE-588)1180545761 (DE-588)1053844778 (DE-588)1044379626 (DE-588)1244870765 |
| author_facet | Düll, Christian 1994- Gwiazda, Piotr Marciniak-Czochra, Anna 1974- Skrzeczkowski, Jakub ca. 20./21. Jh |
| author_role | aut aut aut aut |
| author_sort | Düll, Christian 1994- |
| author_variant | c d cd p g pg a m c amc j s js |
| building | Verbundindex |
| bvnumber | BV047568966 |
| classification_rvk | SK 950 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781009004770 (OCoLC)1284785453 (DE-599)BVBBV047568966 |
| dewey-full | 304.601/51 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 304 - Factors affecting social behavior |
| dewey-raw | 304.601/51 |
| dewey-search | 304.601/51 |
| dewey-sort | 3304.601 251 |
| dewey-tens | 300 - Social sciences |
| discipline | Soziologie Mathematik |
| doi_str_mv | 10.1017/9781009004770 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03588nam a2200613zc 4500</leader><controlfield tag="001">BV047568966</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">211102s2021 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781009004770</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-00-900477-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781009004770</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781009004770</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1284785453</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047568966</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">304.601/51</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Düll, Christian</subfield><subfield code="d">1994-</subfield><subfield code="0">(DE-588)1180545761</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spaces of measures and their applications to structured population models</subfield><subfield code="c">Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xi, 308 Seiten)</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">Cambridge monographs on applied and computational mathematics</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">36</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 27 Sep 2021)</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Analytical setting -- Structured population models on state space R -- Structured population models on proper spaces -- Numerical methods for structured population models -- Recent developments and future perspectives</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Population / Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of bounded variation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lipschitz spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Metric spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radon measures</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Biology / Mathematical models</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Populationsbiologie</subfield><subfield code="0">(DE-588)4046800-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Biomathematik</subfield><subfield code="0">(DE-588)4139408-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Biomathematik</subfield><subfield code="0">(DE-588)4139408-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Populationsbiologie</subfield><subfield code="0">(DE-588)4046800-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gwiazda, Piotr</subfield><subfield code="0">(DE-588)1053844778</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Marciniak-Czochra, Anna</subfield><subfield code="d">1974-</subfield><subfield code="0">(DE-588)1044379626</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Skrzeczkowski, Jakub</subfield><subfield code="d">ca. 20./21. Jh.</subfield><subfield code="0">(DE-588)1244870765</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-31-651910-3</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781009004770</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032954629</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009004770</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781009004770</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV047568966 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:22:38Z |
| institution | BVB |
| isbn | 9781009004770 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032954629 |
| oclc_num | 1284785453 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 Online-Ressource (xi, 308 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2022 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on applied and computational mathematics 36 |
| spelling | Düll, Christian 1994- (DE-588)1180545761 aut Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski Cambridge Cambridge University Press 2022 1 Online-Ressource (xi, 308 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 36 Title from publisher's bibliographic system (viewed on 27 Sep 2021) Analytical setting -- Structured population models on state space R -- Structured population models on proper spaces -- Numerical methods for structured population models -- Recent developments and future perspectives Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research Population / Mathematical models Functions of bounded variation Lipschitz spaces Metric spaces Radon measures Biology / Mathematical models Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Biomathematik (DE-588)4139408-2 s Populationsbiologie (DE-588)4046800-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Gwiazda, Piotr (DE-588)1053844778 aut Marciniak-Czochra, Anna 1974- (DE-588)1044379626 aut Skrzeczkowski, Jakub ca. 20./21. Jh. (DE-588)1244870765 aut Erscheint auch als Druck-Ausgabe 978-1-31-651910-3 https://doi.org/10.1017/9781009004770 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Düll, Christian 1994- Gwiazda, Piotr Marciniak-Czochra, Anna 1974- Skrzeczkowski, Jakub ca. 20./21. Jh Spaces of measures and their applications to structured population models Population / Mathematical models Functions of bounded variation Lipschitz spaces Metric spaces Radon measures Biology / Mathematical models Populationsbiologie (DE-588)4046800-8 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4046800-8 (DE-588)4139408-2 (DE-588)4114528-8 |
| title | Spaces of measures and their applications to structured population models |
| title_auth | Spaces of measures and their applications to structured population models |
| title_exact_search | Spaces of measures and their applications to structured population models |
| title_full | Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
| title_fullStr | Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
| title_full_unstemmed | Spaces of measures and their applications to structured population models Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski |
| title_short | Spaces of measures and their applications to structured population models |
| title_sort | spaces of measures and their applications to structured population models |
| topic | Population / Mathematical models Functions of bounded variation Lipschitz spaces Metric spaces Radon measures Biology / Mathematical models Populationsbiologie (DE-588)4046800-8 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Population / Mathematical models Functions of bounded variation Lipschitz spaces Metric spaces Radon measures Biology / Mathematical models Populationsbiologie Biomathematik Mathematisches Modell |
| url | https://doi.org/10.1017/9781009004770 |
| work_keys_str_mv | AT dullchristian spacesofmeasuresandtheirapplicationstostructuredpopulationmodels AT gwiazdapiotr spacesofmeasuresandtheirapplicationstostructuredpopulationmodels AT marciniakczochraanna spacesofmeasuresandtheirapplicationstostructuredpopulationmodels AT skrzeczkowskijakub spacesofmeasuresandtheirapplicationstostructuredpopulationmodels |