Computational Methods for Transition States and Pathways in Rare Events

Shuting Gu

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English

CRC Press
21 May 2025

Probability & statistics; Stochastics; Mathematical physics; Computing: general; Computer science

Based on the calculation of transition states and the identification of transition paths, this book aims to provide a comprehensive guide to understanding and simulating rare events.

The author introduces both fundamental concepts of transition states and pathways and advanced computational techniques, focusing on Gentlest Ascent Dynamics (GAD) and its variants. In particular, she explores enhanced numerical methods such as the convex splitting method and the Scalar Auxiliary Variable (SAV) approach within the Iterative Minimization Formulation (IMF). In addition, the book applies these methods to real-world problems, highlighting the string method and the geometric Minimum Action Method (gMAM) for computing transition paths.

The book is written for researchers and practitioners in fields such as applied mathematics, physics, chemistry, and computational science who are interested in the underlying mechanisms of rare events and their transition processes.

Chapters 3 and 4 of this book are each freely available as a downloadable Open Access PDF at http://www.taylorfrancis.com under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license.

By: Shuting Gu
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9781032996479
ISBN 10: 1032996471
Pages: 130
Publication Date: 21 May 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Forthcoming

Shuting Gu is a mathematician specializing in efficient computational algorithms for partial differential equations and rare event studies. Her research focuses on calculating transition states and identifying pathways, with a strong emphasis on advancing computational methods in these areas.