Simulating Hamiltonian dynamics /:
Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods an...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2005.
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics ;
14. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises. |
| Beschreibung: | 1 online resource (xvi, 379 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 357-373) and index. |
| ISBN: | 0511080808 9780511080807 9780511614118 051161411X |
Internformat
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| 520 | |a Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises. | ||
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| author | Leimkuhler, B. |
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| contents | Introduction -- Numerical methods -- Hamiltonian mechanics -- Geometric integrators -- The modified equations -- Higher-order methods -- Constrained mechanical systems -- Rigid body dynamics -- Adaptive geometric integrators -- Highly oscillatory problems -- Molecular dynamics -- Hamiltonian PDEs. |
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| indexdate | 2024-11-27T13:15:43Z |
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| isbn | 0511080808 9780511080807 9780511614118 051161411X |
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| spelling | Leimkuhler, B. Simulating Hamiltonian dynamics / Benedict Leimkuhler, Sebastian Reich. Cambridge, UK ; New York : Cambridge University Press, 2005. 1 online resource (xvi, 379 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge monographs on applied and computational mathematics ; 14 Includes bibliographical references (pages 357-373) and index. Print version record. 1. Introduction -- 2. Numerical methods -- 3. Hamiltonian mechanics -- 4. Geometric integrators -- 5. The modified equations -- 6. Higher-order methods -- 7. Constrained mechanical systems -- 8. Rigid body dynamics -- 9. Adaptive geometric integrators -- 10. Highly oscillatory problems -- 11. Molecular dynamics -- 12. Hamiltonian PDEs. Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises. Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Systèmes hamiltoniens. MATHEMATICS Differential Equations General. bisacsh Hamiltonian systems fast Hamiltonsches System gnd http://d-nb.info/gnd/4139943-2 Konservatives System gnd Numerisches Verfahren gnd http://d-nb.info/gnd/4128130-5 Simulation gnd Numerische Integration gnd http://d-nb.info/gnd/4172168-8 Electronic books. Reich, Sebastian. has work: Simulating Hamiltonian dynamics (Text) https://id.oclc.org/worldcat/entity/E39PCYVXv9BtdFjYpQGJTpFc8C https://id.oclc.org/worldcat/ontology/hasWork Print version: Leimkuhler, B. Simulating Hamiltonian dynamics. Cambridge, UK ; New York : Cambridge University Press, 2005 0521772907 (DLC) 2004045685 (OCoLC)54677786 Cambridge monographs on applied and computational mathematics ; 14. http://id.loc.gov/authorities/names/n95073089 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=129306 Volltext |
| spellingShingle | Leimkuhler, B. Simulating Hamiltonian dynamics / Cambridge monographs on applied and computational mathematics ; Introduction -- Numerical methods -- Hamiltonian mechanics -- Geometric integrators -- The modified equations -- Higher-order methods -- Constrained mechanical systems -- Rigid body dynamics -- Adaptive geometric integrators -- Highly oscillatory problems -- Molecular dynamics -- Hamiltonian PDEs. Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Systèmes hamiltoniens. MATHEMATICS Differential Equations General. bisacsh Hamiltonian systems fast Hamiltonsches System gnd http://d-nb.info/gnd/4139943-2 Konservatives System gnd Numerisches Verfahren gnd http://d-nb.info/gnd/4128130-5 Simulation gnd Numerische Integration gnd http://d-nb.info/gnd/4172168-8 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85058563 http://d-nb.info/gnd/4139943-2 http://d-nb.info/gnd/4128130-5 http://d-nb.info/gnd/4172168-8 |
| title | Simulating Hamiltonian dynamics / |
| title_alt | Introduction -- Numerical methods -- Hamiltonian mechanics -- Geometric integrators -- The modified equations -- Higher-order methods -- Constrained mechanical systems -- Rigid body dynamics -- Adaptive geometric integrators -- Highly oscillatory problems -- Molecular dynamics -- Hamiltonian PDEs. |
| title_auth | Simulating Hamiltonian dynamics / |
| title_exact_search | Simulating Hamiltonian dynamics / |
| title_full | Simulating Hamiltonian dynamics / Benedict Leimkuhler, Sebastian Reich. |
| title_fullStr | Simulating Hamiltonian dynamics / Benedict Leimkuhler, Sebastian Reich. |
| title_full_unstemmed | Simulating Hamiltonian dynamics / Benedict Leimkuhler, Sebastian Reich. |
| title_short | Simulating Hamiltonian dynamics / |
| title_sort | simulating hamiltonian dynamics |
| topic | Hamiltonian systems. http://id.loc.gov/authorities/subjects/sh85058563 Systèmes hamiltoniens. MATHEMATICS Differential Equations General. bisacsh Hamiltonian systems fast Hamiltonsches System gnd http://d-nb.info/gnd/4139943-2 Konservatives System gnd Numerisches Verfahren gnd http://d-nb.info/gnd/4128130-5 Simulation gnd Numerische Integration gnd http://d-nb.info/gnd/4172168-8 |
| topic_facet | Hamiltonian systems. Systèmes hamiltoniens. MATHEMATICS Differential Equations General. Hamiltonian systems Hamiltonsches System Konservatives System Numerisches Verfahren Simulation Numerische Integration Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=129306 |
| work_keys_str_mv | AT leimkuhlerb simulatinghamiltoniandynamics AT reichsebastian simulatinghamiltoniandynamics |