Molecular dynamics [electronic resource] : with deterministic and stochastic numerical methods / Ben Leimkuhler, Charles Matthews.

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Molecular dynamics [electronic resource] : with deterministic and stochastic numerical methods / Ben Leimkuhler, Charles Matthews.

9783319163758 electronic book
3319163752 electronic book
9783319163741

Cham : Springer, 2015.

English

1 online resource (xxii, 443 pages) : illustrations.

10.1007/978-3-319-16375-8 doi

QP517.M65

541/.394

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. .

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed May 29, 2015).

Interdisciplinary applied mathematics ; 39.

Print version: 9783319163741

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