| 000 | 02357nam a22003498i 4500 | ||
|---|---|---|---|
| 001 | CR9780511614118 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160220.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090914s2004||||enk o ||1 0|eng|d | ||
| 020 | _a9780511614118 (ebook) | ||
| 020 | _z9780521772907 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA614.83 _b.L45 2004 |
| 082 | 0 | 0 |
_a515/.39 _222 |
| 100 | 1 |
_aLeimkuhler, B., _eauthor. |
|
| 245 | 1 | 0 |
_aSimulating Hamiltonian dynamics / _cBenedict Leimkuhler, Sebastian Reich. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2004. |
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| 300 |
_a1 online resource (xvi, 379 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge monographs on applied and computational mathematics ; _v14 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aGeometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N-body problem, systems with holonomic constraints, and rigid bodies. More advanced topics treated include high-order and variable stepsize methods, schemes for treating problems involving multiple time-scales, and applications to molecular dynamics and partial differential equations. The emphasis is on providing a unified theoretical framework as well as a practical guide for users. The inclusion of examples, background material and exercises enhance the usefulness of the book for self-instruction or as a text for a graduate course on the subject. | ||
| 650 | 0 | _aHamiltonian systems. | |
| 700 | 1 |
_aReich, Sebastian, _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9780521772907 |
| 830 | 0 |
_aCambridge monographs on applied and computational mathematics ; _v14. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511614118 |
| 999 |
_c516614 _d516612 |
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