大葉大學圖書館 |

Simulating Hamiltonian dynamics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515/.39
書名/作者:	Simulating Hamiltonian dynamics // Benedict Leimkuhler, Sebastian Reich.
作者:	Leimkuhler, B.,
其他作者:	Reich, Sebastian,
面頁冊數:	1 online resource (xvi, 379 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Hamiltonian systems.
ISBN:	9780511614118 (ebook)
摘要、提要註:	Geometric 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.
電子資源:	http://dx.doi.org/10.1017/CBO9780511614118

Simulating Hamiltonian dynamics /
Leimkuhler, B.,

Simulating Hamiltonian dynamics /Benedict Leimkuhler, Sebastian Reich. - 1 online resource (xvi, 379 pages) :digital, PDF file(s). - Cambridge monographs on applied and computational mathematics ;14. - Cambridge monographs on applied and computational mathematics ;14..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Geometric 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.

ISBN: 9780511614118 (ebook)Subjects--Topical Terms:

383764
Hamiltonian systems.

LC Class. No.: QA614.83 / .L45 2004

Dewey Class. No.: 515/.39

Simulating Hamiltonian dynamics /
LDR:02126nam a22002898i 4500 001 448158
003 UkCbUP
005 20151005020622.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 161201s2004||||enk o ||1 0|eng|d
020 $a 9780511614118 (ebook)
020 $z 9780521772907 (hardback)
035 $a CR9780511614118
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA614.83 $b .L45 2004
082 0 0 $a 515/.39 $2 22
100 1 $a Leimkuhler, B., $e author. $3 642424
245 1 0 $a Simulating Hamiltonian dynamics / $c Benedict Leimkuhler, Sebastian Reich.
264 1 $a Cambridge : $b Cambridge University Press, $c 2004.
300 $a 1 online resource (xvi, 379 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge monographs on applied and computational mathematics ; $v 14
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a Geometric 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 $a Hamiltonian systems. $3 383764
700 1 $a Reich, Sebastian, $e author. $3 642425
776 0 8 $i Print version: $z 9780521772907
830 0 $a Cambridge monographs on applied and computational mathematics ; $v 14. $3 642426
856 4 0 $u http://dx.doi.org/10.1017/CBO9780511614118