Numerical methods for evolutionary differential equations:
Methods for the numerical simulation of dynamic mathematical models have been the focus of intensive research for well over 60 years, and the demand for better and more efficient methods has grown as the range of applications has increased. Mathematical models involving evolutionary partial differen...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
2008
|
| Schriftenreihe: | Computational science and engineering
5 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1137/1.9780898718911 https://doi.org/10.1137/1.9780898718911 https://doi.org/10.1137/1.9780898718911 https://doi.org/10.1137/1.9780898718911 https://doi.org/10.1137/1.9780898718911 |
| Zusammenfassung: | Methods for the numerical simulation of dynamic mathematical models have been the focus of intensive research for well over 60 years, and the demand for better and more efficient methods has grown as the range of applications has increased. Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinary differential equations (ODEs) arise in diverse applications such as fluid flow, image processing and computer vision, physics-based animation, mechanical systems, relativity, earth sciences, and mathematical finance. This textbook develops, analyzes, and applies numerical methods for evolutionary, or time-dependent, differential problems. Both PDEs and ODEs are discussed from a unified viewpoint. The author emphasizes finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering. Smooth and nonsmooth solutions for hyperbolic PDEs, parabolic-type PDEs, and initial value ODEs are treated, and a practical introduction to geometric integration methods is included as well. Audience: suitable for researchers and graduate students from a variety of fields including computer science, applied mathematics, physics, earth and ocean sciences, and various engineering disciplines. Researchers who simulate processes that are modeled by evolutionary differential equations will find material on the principles underlying the appropriate method to use and the pitfalls that accompany each method |
| Umfang: | 1 Online-Ressource (xiii, 395 Seiten) digital file |
| ISBN: | 9780898718911 |
| DOI: | 10.1137/1.9780898718911 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV040287521 | ||
| 003 | DE-604 | ||
| 005 | 20210519 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 120702s2008 xx |||| o|||| 00||| eng d | ||
| 020 | |a 9780898718911 |9 978-0-89871-891-1 | ||
| 024 | 7 | |a 10.1137/1.9780898718911 |2 doi | |
| 035 | |a (OCoLC)816193646 | ||
| 035 | |a (DE-599)BVBBV040287521 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29 |a DE-91 |a DE-706 |a DE-83 |a DE-20 | ||
| 100 | 1 | |a Ascher, Uri M. |d 1946- |0 (DE-588)136140823 |4 aut | |
| 245 | 1 | 0 | |a Numerical methods for evolutionary differential equations |c Uri M. Ascher |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 2008 | |
| 300 | |a 1 Online-Ressource (xiii, 395 Seiten) |b digital file | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Computational science and engineering |v 5 | |
| 520 | |a Methods for the numerical simulation of dynamic mathematical models have been the focus of intensive research for well over 60 years, and the demand for better and more efficient methods has grown as the range of applications has increased. Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinary differential equations (ODEs) arise in diverse applications such as fluid flow, image processing and computer vision, physics-based animation, mechanical systems, relativity, earth sciences, and mathematical finance. This textbook develops, analyzes, and applies numerical methods for evolutionary, or time-dependent, differential problems. Both PDEs and ODEs are discussed from a unified viewpoint. The author emphasizes finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering. Smooth and nonsmooth solutions for hyperbolic PDEs, parabolic-type PDEs, and initial value ODEs are treated, and a practical introduction to geometric integration methods is included as well. Audience: suitable for researchers and graduate students from a variety of fields including computer science, applied mathematics, physics, earth and ocean sciences, and various engineering disciplines. Researchers who simulate processes that are modeled by evolutionary differential equations will find material on the principles underlying the appropriate method to use and the pitfalls that accompany each method | ||
| 650 | 4 | |a Evolution equations / Numerical solutions | |
| 650 | 0 | 7 | |a Zeitabhängigkeit |0 (DE-588)4320088-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | 1 | |a Zeitabhängigkeit |0 (DE-588)4320088-6 |D s |
| 689 | 0 | 2 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 710 | 2 | |a Society for Industrial and Applied Mathematics |e Sonstige |4 oth | |
| 830 | 0 | |a Computational science and engineering |v 5 |w (DE-604)BV040633113 |9 5 | |
| 856 | 4 | 0 | |u https://doi.org/10.1137/1.9780898718911 |x Verlag |3 Volltext |
| 912 | |a ZDB-72-SIA | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-025142775 | |
| 966 | e | |u https://doi.org/10.1137/1.9780898718911 |l DE-91 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9780898718911 |l DE-20 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9780898718911 |l DE-706 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9780898718911 |l DE-29 |p ZDB-72-SIA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 1866910 |
|---|---|
| _version_ | 1821935031348625408 |
| any_adam_object | |
| author | Ascher, Uri M. 1946- |
| author_GND | (DE-588)136140823 |
| author_facet | Ascher, Uri M. 1946- |
| author_role | aut |
| author_sort | Ascher, Uri M. 1946- |
| author_variant | u m a um uma |
| building | Verbundindex |
| bvnumber | BV040287521 |
| collection | ZDB-72-SIA |
| ctrlnum | (OCoLC)816193646 (DE-599)BVBBV040287521 |
| doi_str_mv | 10.1137/1.9780898718911 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03803nam a2200493zcb4500</leader><controlfield tag="001">BV040287521</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210519 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">120702s2008 xx |||| o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780898718911</subfield><subfield code="9">978-0-89871-891-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1137/1.9780898718911</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)816193646</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV040287521</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-29</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ascher, Uri M.</subfield><subfield code="d">1946-</subfield><subfield code="0">(DE-588)136140823</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Numerical methods for evolutionary differential equations</subfield><subfield code="c">Uri M. Ascher</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia, Pa.</subfield><subfield code="b">Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiii, 395 Seiten)</subfield><subfield code="b">digital file</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="1" ind2=" "><subfield code="a">Computational science and engineering</subfield><subfield code="v">5</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Methods for the numerical simulation of dynamic mathematical models have been the focus of intensive research for well over 60 years, and the demand for better and more efficient methods has grown as the range of applications has increased. Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinary differential equations (ODEs) arise in diverse applications such as fluid flow, image processing and computer vision, physics-based animation, mechanical systems, relativity, earth sciences, and mathematical finance. This textbook develops, analyzes, and applies numerical methods for evolutionary, or time-dependent, differential problems. Both PDEs and ODEs are discussed from a unified viewpoint. The author emphasizes finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering. Smooth and nonsmooth solutions for hyperbolic PDEs, parabolic-type PDEs, and initial value ODEs are treated, and a practical introduction to geometric integration methods is included as well. Audience: suitable for researchers and graduate students from a variety of fields including computer science, applied mathematics, physics, earth and ocean sciences, and various engineering disciplines. Researchers who simulate processes that are modeled by evolutionary differential equations will find material on the principles underlying the appropriate method to use and the pitfalls that accompany each method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Evolution equations / Numerical solutions</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zeitabhängigkeit</subfield><subfield code="0">(DE-588)4320088-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Zeitabhängigkeit</subfield><subfield code="0">(DE-588)4320088-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Society for Industrial and Applied Mathematics</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Computational science and engineering</subfield><subfield code="v">5</subfield><subfield code="w">(DE-604)BV040633113</subfield><subfield code="9">5</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1137/1.9780898718911</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-72-SIA</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025142775</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9780898718911</subfield><subfield code="l">DE-91</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9780898718911</subfield><subfield code="l">DE-20</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9780898718911</subfield><subfield code="l">DE-706</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9780898718911</subfield><subfield code="l">DE-29</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV040287521 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T16:11:40Z |
| institution | BVB |
| isbn | 9780898718911 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025142775 |
| oclc_num | 816193646 |
| open_access_boolean | |
| owner | DE-29 DE-91 DE-BY-TUM DE-706 DE-83 DE-20 |
| owner_facet | DE-29 DE-91 DE-BY-TUM DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (xiii, 395 Seiten) digital file |
| psigel | ZDB-72-SIA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | Computational science and engineering |
| series2 | Computational science and engineering |
| spellingShingle | Ascher, Uri M. 1946- Numerical methods for evolutionary differential equations Computational science and engineering Evolution equations / Numerical solutions Zeitabhängigkeit (DE-588)4320088-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4320088-6 (DE-588)4128130-5 (DE-588)4012249-9 |
| title | Numerical methods for evolutionary differential equations |
| title_auth | Numerical methods for evolutionary differential equations |
| title_exact_search | Numerical methods for evolutionary differential equations |
| title_full | Numerical methods for evolutionary differential equations Uri M. Ascher |
| title_fullStr | Numerical methods for evolutionary differential equations Uri M. Ascher |
| title_full_unstemmed | Numerical methods for evolutionary differential equations Uri M. Ascher |
| title_short | Numerical methods for evolutionary differential equations |
| title_sort | numerical methods for evolutionary differential equations |
| topic | Evolution equations / Numerical solutions Zeitabhängigkeit (DE-588)4320088-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Evolution equations / Numerical solutions Zeitabhängigkeit Numerisches Verfahren Differentialgleichung |
| url | https://doi.org/10.1137/1.9780898718911 |
| volume_link | (DE-604)BV040633113 |
| work_keys_str_mv | AT ascherurim numericalmethodsforevolutionarydifferentialequations AT societyforindustrialandappliedmathematics numericalmethodsforevolutionarydifferentialequations |