國立高雄大學圖資館 |

Language: English

Back

Molecular dynamicswith deterministic...

Leimkuhler, Ben.

Molecular dynamicswith deterministic and stochastic numerical methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Molecular dynamicsby Ben Leimkuhler, Charles Matthews.
Reminder of title:	with deterministic and stochastic numerical methods /
Author:	Leimkuhler, Ben.
other author:	Matthews, Charles.
Published:	Cham :Springer International Publishing :2015.
Description:	xxii, 443 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Molecular dynamics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-16375-8
ISBN:	9783319163758 (electronic bk.)

Molecular dynamicswith deterministic and stochastic numerical methods /
Leimkuhler, Ben.

Molecular dynamicswith deterministic and stochastic numerical methods /[electronic resource] :by Ben Leimkuhler, Charles Matthews. - Cham :Springer International Publishing :2015. - xxii, 443 p. :ill. (some col.), digital ;24 cm. - Interdisciplinary applied mathematics,390939-6047 ;. - Interdisciplinary applied mathematics ;v. 21..

1.Introduction -- 2.Numerical Integrators -- 3.Analyzing Geometric Integrators -- 4.The Stability Threshold -- 5.Phase Space Distributions and Microcanonical Averages -- 6. The Canonical Distribution and Stochastic Differential Equations -- 7. Numerical Methods for Stochastic Molecular Dynamics -- 8. Extended Variable Methods -- References -- Index.

This book describes the mathematical underpinnings of algorithms used for molecular dynamics simulation, including both deterministic and stochastic numerical methods. Molecular dynamics is one of the most versatile and powerful methods of modern computational science and engineering and is used widely in chemistry, physics, materials science and biology. Understanding the foundations of numerical methods means knowing how to select the best one for a given problem (from the wide range of techniques on offer) and how to create new, efficient methods to address particular challenges as they arise in complex applications. Aimed at a broad audience, this book presents the basic theory of Hamiltonian mechanics and stochastic differential equations, as well as topics including symplectic numerical methods, the handling of constraints and rigid bodies, the efficient treatment of Langevin dynamics, thermostats to control the molecular ensemble, multiple time-stepping, and the dissipative particle dynamics method.

ISBN: 9783319163758 (electronic bk.)

Standard No.: 10.1007/978-3-319-16375-8doiSubjects--Topical Terms:

194321
Molecular dynamics.

LC Class. No.: QP517.M65

Dewey Class. No.: 541.394

Molecular dynamicswith deterministic and stochastic numerical methods /
LDR:02433nmm a2200325 a 4500 001 469187
003 DE-He213
005 20160105140219.0
006 m d
007 cr nn 008maaau
008 160118s2015 gw s 0 eng d
020 $a 9783319163758 (electronic bk.)
020 $a 9783319163741 (paper)
024 7 $a 10.1007/978-3-319-16375-8 $2 doi
035 $a 978-3-319-16375-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QP517.M65
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 541.394 $2 23
090 $a QP517.M65 $b L529 2015
100 1 $a Leimkuhler, Ben. $3 725092
245 1 0 $a Molecular dynamics $h [electronic resource] : $b with deterministic and stochastic numerical methods / $c by Ben Leimkuhler, Charles Matthews.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xxii, 443 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Interdisciplinary applied mathematics, $x 0939-6047 ; $v 39
505 0 $a 1.Introduction -- 2.Numerical Integrators -- 3.Analyzing Geometric Integrators -- 4.The Stability Threshold -- 5.Phase Space Distributions and Microcanonical Averages -- 6. The Canonical Distribution and Stochastic Differential Equations -- 7. Numerical Methods for Stochastic Molecular Dynamics -- 8. Extended Variable Methods -- References -- Index.
520 $a This book describes the mathematical underpinnings of algorithms used for molecular dynamics simulation, including both deterministic and stochastic numerical methods. Molecular dynamics is one of the most versatile and powerful methods of modern computational science and engineering and is used widely in chemistry, physics, materials science and biology. Understanding the foundations of numerical methods means knowing how to select the best one for a given problem (from the wide range of techniques on offer) and how to create new, efficient methods to address particular challenges as they arise in complex applications. Aimed at a broad audience, this book presents the basic theory of Hamiltonian mechanics and stochastic differential equations, as well as topics including symplectic numerical methods, the handling of constraints and rigid bodies, the efficient treatment of Langevin dynamics, thermostats to control the molecular ensemble, multiple time-stepping, and the dissipative particle dynamics method.
650 0 $a Molecular dynamics. $3 194321
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Applications of Mathematics. $3 273744
650 2 4 $a Mathematical and Computational Biology. $3 514442
700 1 $a Matthews, Charles. $3 725093
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Interdisciplinary applied mathematics ; $v v. 21. $3 440074
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-16375-8
950 $a Mathematics and Statistics (Springer-11649)