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:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2022
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
36 |
| Schlagworte: | |
| 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: | xi, 308 Seiten Diagramme |
| ISBN: | 9781316519103 |
Internformat
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| 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 | ||
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| 650 | 4 | |a Functions of bounded variation | |
| 650 | 4 | |a Lipschitz spaces | |
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Datensatz im Suchindex
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| 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 | BV047575547 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)1263741297 (DE-599)BVBBV047575547 |
| 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 |
| discipline_str_mv | Soziologie Mathematik |
| format | Book |
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| id | DE-604.BV047575547 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T18:31:52Z |
| indexdate | 2024-10-08T10:00:48Z |
| institution | BVB |
| isbn | 9781316519103 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032961050 |
| oclc_num | 1263741297 |
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| owner_facet | DE-384 |
| physical | xi, 308 Seiten Diagramme |
| publishDate | 2022 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge monographs on applied and computational mathematics |
| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Düll, Christian 1994- Verfasser (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 xi, 308 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on applied and computational mathematics 36 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 Biomathematik (DE-588)4139408-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 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 Verfasser (DE-588)1053844778 aut Marciniak-Czochra, Anna 1974- Verfasser (DE-588)1044379626 aut Skrzeczkowski, Jakub ca. 20./21. Jh. Verfasser (DE-588)1244870765 aut Erscheint auch als Online-Ausgabe, ebook 978-1-00-900477-0 Cambridge monographs on applied and computational mathematics 36 (DE-604)BV011073737 36 |
| 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 Cambridge monographs on applied and computational mathematics Population / Mathematical models Functions of bounded variation Lipschitz spaces Metric spaces Radon measures Biology / Mathematical models Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Populationsbiologie (DE-588)4046800-8 gnd |
| subject_GND | (DE-588)4139408-2 (DE-588)4114528-8 (DE-588)4046800-8 |
| 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_exact_search_txtP | 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 Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Populationsbiologie (DE-588)4046800-8 gnd |
| topic_facet | Population / Mathematical models Functions of bounded variation Lipschitz spaces Metric spaces Radon measures Biology / Mathematical models Biomathematik Mathematisches Modell Populationsbiologie |
| volume_link | (DE-604)BV011073737 |
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