Lectures on the theory of group properties of differential equations /:
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains mat...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Beijing :
Higher Education Press : World Scientific,
©2013.
|
| Schriftenreihe: | Nonlinear physical science.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models. Readers. |
| Beschreibung: | 1 online resource (xi, 141 pages) |
| ISBN: | 9787894236319 7894236314 |
Internformat
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| contents | One-parameter continuous transformation groups admitted by differential equations -- Lie algebras and local Lie groups -- Group invariant solutions of differential equations. |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:29Z |
| institution | BVB |
| isbn | 9787894236319 7894236314 |
| language | English |
| oclc_num | 903685700 |
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| spelling | Ovsyannikov, L. V. Lectures on the theory of group properties of differential equations / L V Ovsyannikov ; edited by Nail H Ibragimov ; translated by E D Avdonina, N H Ibragimov. Beijing : Higher Education Press : World Scientific, ©2013. 1 online resource (xi, 141 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Nonlinear Physical Science. One-parameter continuous transformation groups admitted by differential equations -- Lie algebras and local Lie groups -- Group invariant solutions of differential equations. Translated from the Russian. Print version record. These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models. Readers. Differential algebraic groups. http://id.loc.gov/authorities/subjects/sh85037886 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Groupes algébriques différentiels. Groupes de Lie. Équations différentielles. Équations différentielles non linéaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential algebraic groups fast Differential equations fast Differential equations, Nonlinear fast Lie groups fast Differentialgleichung gnd Gruppe Mathematik gnd http://d-nb.info/gnd/4022379-6 Ibragimov, N. Kh. (Nailʹ Khaĭrullovich) https://id.oclc.org/worldcat/entity/E39PBJpJgyF6QJ4TcddGmRHgrq http://id.loc.gov/authorities/names/n82263312 Avdonina, E. D. has work: Lectures on the theory of group properties of differential equations (Text) https://id.oclc.org/worldcat/entity/E39PCFYwh3cDJGff7bKmqQRtKd https://id.oclc.org/worldcat/ontology/hasWork Print version: Ovsyannikov, L.V. Lectures on the theory of group properties of differential equations 9814460818 (OCoLC)826855761 Nonlinear physical science. http://id.loc.gov/authorities/names/no2009172302 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=933695 Volltext |
| spellingShingle | Ovsyannikov, L. V. Lectures on the theory of group properties of differential equations / Nonlinear physical science. One-parameter continuous transformation groups admitted by differential equations -- Lie algebras and local Lie groups -- Group invariant solutions of differential equations. Differential algebraic groups. http://id.loc.gov/authorities/subjects/sh85037886 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Groupes algébriques différentiels. Groupes de Lie. Équations différentielles. Équations différentielles non linéaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential algebraic groups fast Differential equations fast Differential equations, Nonlinear fast Lie groups fast Differentialgleichung gnd Gruppe Mathematik gnd http://d-nb.info/gnd/4022379-6 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037886 http://id.loc.gov/authorities/subjects/sh85076786 http://id.loc.gov/authorities/subjects/sh85037890 http://id.loc.gov/authorities/subjects/sh85037906 http://d-nb.info/gnd/4022379-6 |
| title | Lectures on the theory of group properties of differential equations / |
| title_alt | One-parameter continuous transformation groups admitted by differential equations -- Lie algebras and local Lie groups -- Group invariant solutions of differential equations. |
| title_auth | Lectures on the theory of group properties of differential equations / |
| title_exact_search | Lectures on the theory of group properties of differential equations / |
| title_full | Lectures on the theory of group properties of differential equations / L V Ovsyannikov ; edited by Nail H Ibragimov ; translated by E D Avdonina, N H Ibragimov. |
| title_fullStr | Lectures on the theory of group properties of differential equations / L V Ovsyannikov ; edited by Nail H Ibragimov ; translated by E D Avdonina, N H Ibragimov. |
| title_full_unstemmed | Lectures on the theory of group properties of differential equations / L V Ovsyannikov ; edited by Nail H Ibragimov ; translated by E D Avdonina, N H Ibragimov. |
| title_short | Lectures on the theory of group properties of differential equations / |
| title_sort | lectures on the theory of group properties of differential equations |
| topic | Differential algebraic groups. http://id.loc.gov/authorities/subjects/sh85037886 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Groupes algébriques différentiels. Groupes de Lie. Équations différentielles. Équations différentielles non linéaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential algebraic groups fast Differential equations fast Differential equations, Nonlinear fast Lie groups fast Differentialgleichung gnd Gruppe Mathematik gnd http://d-nb.info/gnd/4022379-6 |
| topic_facet | Differential algebraic groups. Lie groups. Differential equations. Differential equations, Nonlinear. Groupes algébriques différentiels. Groupes de Lie. Équations différentielles. Équations différentielles non linéaires. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Differential algebraic groups Differential equations Differential equations, Nonlinear Lie groups Differentialgleichung Gruppe Mathematik |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=933695 |
| work_keys_str_mv | AT ovsyannikovlv lecturesonthetheoryofgrouppropertiesofdifferentialequations AT ibragimovnkh lecturesonthetheoryofgrouppropertiesofdifferentialequations AT avdoninaed lecturesonthetheoryofgrouppropertiesofdifferentialequations |