Simulating Hamiltonian Dynamics
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Simulating Hamiltonian Dynamics
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Author : Benedict Leimkuhler
language : en
Publisher: Cambridge University Press
Release Date : 2004
Simulating Hamiltonian Dynamics written by Benedict Leimkuhler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
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.
Simulating Hamiltonian Dynamics
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Author : B. Leimkuhler
language : en
Publisher:
Release Date : 2004
Simulating Hamiltonian Dynamics written by B. Leimkuhler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Hamiltonian systems categories.
Molecular Dynamics Simulation
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Author : Giovanni Ciccotti
language : en
Publisher: MDPI
Release Date : 2018-10-08
Molecular Dynamics Simulation written by Giovanni Ciccotti and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.
Printed Edition of the Special Issue Published in Entropy
Explorations In Computational Physics
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Author : Devang Patil
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Explorations In Computational Physics written by Devang Patil and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Explorations in Computational Physics" delves into the intricate world of computational physics, offering a comprehensive guide from fundamental theories to cutting-edge applications. This book serves as an indispensable companion for both novice learners and seasoned researchers. We cover a diverse array of topics, meticulously unfolding layers of computational techniques and their applications in various branches of physics. From classical mechanics simulations elucidating celestial mechanics to quantum mechanics computations unraveling atomic and subatomic realms, the book navigates through the vast landscape of computational methodologies with clarity and precision. Furthermore, we delve into electromagnetic field simulations, statistical mechanics, and thermodynamics, equipping readers with tools to model complex physical phenomena with accuracy and efficiency. High-performance computing techniques, data analysis, and visualization methodologies are elucidated, empowering readers to harness modern computational resources in their research. With lucid explanations, illustrative examples, and insightful discussions on emerging technologies like quantum computing and artificial intelligence, "Explorations in Computational Physics" fosters a deeper understanding of computational methodologies and their transformative impact on physics research.
Analytical System Dynamics
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Author : Brian Fabien
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-09
Analytical System Dynamics written by Brian Fabien and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-09 with Technology & Engineering categories.
"Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.
Molecular Modeling And Simulation An Interdisciplinary Guide
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Author : Tamar Schlick
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-03
Molecular Modeling And Simulation An Interdisciplinary Guide written by Tamar Schlick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-03 with Mathematics categories.
Very broad overview of the field intended for an interdisciplinary audience; Lively discussion of current challenges written in a colloquial style; Author is a rising star in this discipline; Suitably accessible for beginners and suitably rigorous for experts; Features extensive four-color illustrations; Appendices featuring homework assignments and reading lists complement the material in the main text
An Introduction To The Numerical Simulation Of Stochastic Di Erential Equations
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Author : Desmond J. Higham
language : en
Publisher: SIAM
Release Date : 2021-01-28
An Introduction To The Numerical Simulation Of Stochastic Di Erential Equations written by Desmond J. Higham and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-28 with Mathematics categories.
This book provides a lively and accessible introduction to the numerical solution of stochastic differential equations with the aim of making this subject available to the widest possible readership. It presents an outline of the underlying convergence and stability theory while avoiding technical details. Key ideas are illustrated with numerous computational examples and computer code is listed at the end of each chapter. The authors include 150 exercises, with solutions available online, and 40 programming tasks. Although introductory, the book covers a range of modern research topics, including Itô versus Stratonovich calculus, implicit methods, stability theory, nonconvergence on nonlinear problems, multilevel Monte Carlo, approximation of double stochastic integrals, and tau leaping for chemical and biochemical reaction networks. An Introduction to the Numerical Simulation of Stochastic Differential Equations is appropriate for undergraduates and postgraduates in mathematics, engineering, physics, chemistry, finance, and related disciplines, as well as researchers in these areas. The material assumes only a competence in algebra and calculus at the level reached by a typical first-year undergraduate mathematics class, and prerequisites are kept to a minimum. Some familiarity with basic concepts from numerical analysis and probability is also desirable but not necessary.
Free Energy Computations
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Author : Tony Lelivre
language : en
Publisher: World Scientific
Release Date : 2010
Free Energy Computations written by Tony Lelivre and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
This monograph provides a general introduction to advanced computational methods for free energy calculations, from the systematic and rigorous point of view of applied mathematics. Free energy calculations in molecular dynamics have become an outstanding and increasingly broad computational field in physics, chemistry and molecular biology within the past few years, by making possible the analysis of complex molecular systems. This work proposes a new, general and rigorous presentation, intended both for practitioners interested in a mathematical treatment, and for applied mathematicians interested in molecular dynamics.
Fast Methods For Long Range Interactions In Complex Systems
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Author : Godehard Sutmann
language : en
Publisher: Forschungszentrum Jülich
Release Date : 2011
Fast Methods For Long Range Interactions In Complex Systems written by Godehard Sutmann and has been published by Forschungszentrum Jülich this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Current Challenges In Stability Issues For Numerical Differential Equations
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Author : Wolf-Jürgen Beyn
language : en
Publisher: Springer
Release Date : 2013-12-12
Current Challenges In Stability Issues For Numerical Differential Equations written by Wolf-Jürgen Beyn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-12 with Mathematics categories.
This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies. Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, (iii) computation of dynamic patterns in evolutionary partial DEs, (iv) decomposition of matrices depending on parameters and localization of singularities, and (v) uniform stability analysis for time dependent linear initial value problems of ODEs. The problems considered in this volume are of interest to people working on numerical as well as qualitative aspects of differential equations, and it will serve both as a reference and as an entry point into further research.