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Monte Carlo Methods

Author : Malvin H. Kalos
ISBN : 9783527407606
Genre : Science
File Size : 71. 52 MB
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This introduction to Monte Carlo methods seeks to identify and study the unifying elements that underlie their effective application. Initial chapters provide a short treatment of the probability and statistics needed as background, enabling those without experience in Monte Carlo techniques to apply these ideas to their research. The book focuses on two basic themes: The first is the importance of random walks as they occur both in natural stochastic systems and in their relationship to integral and differential equations. The second theme is that of variance reduction in general and importance sampling in particular as a technique for efficient use of the methods. Random walks are introduced with an elementary example in which the modeling of radiation transport arises directly from a schematic probabilistic description of the interaction of radiation with matter. Building on this example, the relationship between random walks and integral equations is outlined. The applicability of these ideas to other problems is shown by a clear and elementary introduction to the solution of the Schrodinger equation by random walks. The text includes sample problems that readers can solve by themselves to illustrate the content of each chapter. This is the second, completely revised and extended edition of the successful monograph, which brings the treatment up to date and incorporates the many advances in Monte Carlo techniques and their applications, while retaining the original elementary but general approach.

Markov Chain Monte Carlo Simulations And Their Statistical Analysis

Author : Bernd A. Berg
ISBN : 9789812389350
Genre : Science
File Size : 67. 40 MB
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This book teaches modern Markov chain Monte Carlo (MC) simulation techniques step by step. The material should be accessible to advanced undergraduate students and is suitable for a course. It ranges from elementary statistics concepts (the theory behind MC simulations), through conventional Metropolis and heat bath algorithms, autocorrelations and the analysis of the performance of MC algorithms, to advanced topics including the multicanonical approach, cluster algorithms and parallel computing. Therefore, it is also of interest to researchers in the field. The book relates the theory directly to Web-based computer code. This allows readers to get quickly started with their own simulations and to verify many numerical examples easily. The present code is in Fortran 77, for which compilers are freely available. The principles taught are important for users of other programming languages, like C or C++.

The Monte Carlo Method For Semiconductor Device Simulation

Author : Carlo Jacoboni
ISBN : 3211821104
Genre : Technology & Engineering
File Size : 49. 29 MB
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This volume presents the application of the Monte Carlo method to the simulation of semiconductor devices, reviewing the physics of transport in semiconductors, followed by an introduction to the physics of semiconductor devices.

Monte Carlo Methods In Mechanics Of Fluid And Gas

Author : Oleg Mikhaĭlovich Belot︠s︡erkovskiĭ
ISBN : 9789814282369
Genre : Mathematics
File Size : 61. 74 MB
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This book is devoted to analysis of Monte Carlo methods developed in rarefied gas dynamics. Presented is the short history of the development of such methods, described are their main properties, their advantages and deficiencies. It is shown that the contemporary stage in the progress of computational methods cannot be regarded without a complex approach to the preparation of algorithms taking into account all the peculiarities of the problem under consideration, that is, of the physical nature of a process, the mathematical model and the theoretical aspects of computational mathematics and stochastic processes. Thoroughly investigated is the possibility of application of Monte Carlo methods in some kindred areas of science which are non-traditional for the use of statistical modeling (continuous media, turbulence). Considered are the possible directions of development of statistical modeling.

Handbook Of Markov Chain Monte Carlo

Author : Steve Brooks
ISBN : 9781420079425
Genre : Mathematics
File Size : 26. 57 MB
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Since their popularization in the 1990s, Markov chain Monte Carlo (MCMC) methods have revolutionized statistical computing and have had an especially profound impact on the practice of Bayesian statistics. Furthermore, MCMC methods have enabled the development and use of intricate models in an astonishing array of disciplines as diverse as fisherie

Introduction To Monte Carlo Methods For Transport And Diffusion Equations

Author : Bernard Lapeyre
ISBN : 0198525931
Genre : Mathematics
File Size : 52. 59 MB
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This text is used by for the resolution of partial differential equations, trasnport equations, the Boltzmann equation and the parabolic equations of diffusion.

Quantum Monte Carlo Methods In Physics And Chemistry

Author : M.P. Nightingale
ISBN : 0792355520
Genre : Science
File Size : 75. 38 MB
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This book contains lectures on the basic theory and applications of quantum Monte Carlo methods, with contributions written by authorities in the field. Although tutorial in nature, it includes current developments. Both continuum systems and lattice models are covered. The applications include atomic, molecular, and solid state physics, statistical and low-temperature physics, and nuclear structure. Suitable for Ph.D. students and beyond.

The Monte Carlo Approach To Biopolymers And Protein Folding

Author : Peter Grassberger
ISBN : 9789814544276
Genre : Science
File Size : 27. 93 MB
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Information on our detailed genetic code is increasing at a dramatic pace. We need to understand how that is translated into the three-dimensional structure of proteins in order to make use of the information. Progress in this field is hampered by the lack of precise force fields and of efficient codes for finding equilibrium configurations of heteropolymers. However, there has been rapid advance in recent years, and this volume discusses that.

Monte Carlo And Molecular Dynamics Simulations In Polymer Science

Author : Kurt Binder
ISBN : 9780195094381
Genre : Language Arts & Disciplines
File Size : 67. 81 MB
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Talks about various computer simulation techniques used for macromolecular materials. This book describes how to use simulation to explain experimental data and gain insight into structure and dynamic properties of polymeric structures. Explanations are given on how to overcome challenges posed by large size and slow relaxation polymer coils.

Star

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ISBN : UFL:31262082068916
Genre : Aeronautics
File Size : 81. 2 MB
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Continuum Scale Simulation Of Engineering Materials

Author : Dierk Raabe
ISBN : 3527307605
Genre : Technology & Engineering
File Size : 86. 90 MB
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This book fills a gap by presenting our current knowledge and understanding of continuum-based concepts behind computational methods used for microstructure and process simulation of engineering materials above the atomic scale. The volume provides an excellent overview on the different methods, comparing the different methods in terms of their respective particular weaknesses and advantages. This trains readers to identify appropriate approaches to the new challenges that emerge every day in this exciting domain. Divided into three main parts, the first is a basic overview covering fundamental key methods in the field of continuum scale materials simulation. The second one then goes on to look at applications of these methods to the prediction of microstructures, dealing with explicit simulation examples, while the third part discusses example applications in the field of process simulation. By presenting a spectrum of different computational approaches to materials, the book aims to initiate the development of corresponding virtual laboratories in the industry in which these methods are exploited. As such, it addresses graduates and undergraduates, lecturers, materials scientists and engineers, physicists, biologists, chemists, mathematicians, and mechanical engineers.

Monte Carlo Methods And Applications In Neutronics Photonics And Statistical Physics

Author : Raymond E. Alcouffe
ISBN : UOM:39015051241480
Genre : Science
File Size : 69. 75 MB
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Variance Reduction Techniques For The Monte Carlo Calculations Of Electron Dose Distributions

Author : Mark Albert Holmes
ISBN : WISC:89052196037
Genre :
File Size : 41. 11 MB
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Life

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File Size : 58. 62 MB
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LIFE Magazine is the treasured photographic magazine that chronicled the 20th Century. It now lives on at LIFE.com, the largest, most amazing collection of professional photography on the internet. Users can browse, search and view photos of today’s people and events. They have free access to share, print and post images for personal use.

Popular Mechanics

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File Size : 28. 63 MB
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Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.

Ski

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File Size : 48. 87 MB
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Principles Of Econometrics

Author : R. Carter Hill
ISBN : 9781118452271
Genre : Business & Economics
File Size : 24. 47 MB
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Principles of Econometrics, Fifth Edition, is an introductory book for undergraduate students in economics and finance, as well as first-year graduate students in a variety of fields that include economics, finance, accounting, marketing, public policy, sociology, law, and political science. Students will gain a working knowledge of basic econometrics so they can apply modeling, estimation, inference, and forecasting techniques when working with real-world economic problems. Readers will also gain an understanding of econometrics that allows them to critically evaluate the results of others’ economic research and modeling, and that will serve as a foundation for further study of the field. This new edition of the highly-regarded econometrics text includes major revisions that both reorganize the content and present students with plentiful opportunities to practice what they have read in the form of chapter-end exercises.

Big Data Mining For Climate Change

Author : Zhihua Zhang
ISBN : 9780128187036
Genre :
File Size : 28. 13 MB
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Big Data Mining for Climate Change addresses how to manage the vast amount of information available for analysis. Climate change and its environmental, economic and social consequences are widely recognized as the biggest, most interconnected problem facing humanity. There is a huge amount of potential information currently available...and it is growing exponentially. This book walks through the latest research and how to navigate the resources available using big data applications. It is appropriate for scientists and advanced students studying climate change from a number of disciplines, including the atmospheric sciences, oceanic sciences, geography, environment sciences, ecology, energy, economics, engineering and public policy. Provides a step-by-step guide for applying big data mining tools to climate and environmental research Presents a comprehensive review of theory and algorithms of big data mining for climate change Includes current research in climate and environmental science as it relates to using big data algorithms

Atl A

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ISBN : UIUC:30112063888470
Genre : Nuclear energy
File Size : 68. 29 MB
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Computational Methods In Reactor Shielding

Author : James Wood
ISBN : 9781483148137
Genre : Technology & Engineering
File Size : 46. 96 MB
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Computational Methods in Reactor Shielding deals with the mathematical processes involved in how to effectively control the dangerous effect of nuclear radiation. Reactor shielding is considered an important aspect in the operation of reactor systems to ensure the safety of personnel and others that can be directly or indirectly affected. Composed of seven chapters, the book discusses ionizing radiation and how it aids in the control and containment of radioactive substances that are considered harmful to all living things. The text also outlines the necessary radiation quantities and units that are needed for a systemic control of shielding and presents an examination of the main sources of nuclear radiation. A discussion of the gamma photon cross sections and an introduction to BMIX, a computer program used in illustrating a technique in identifying the gamma ray build-up factor for a reactor shield, are added. The selection also discusses various mathematical representations and areas of shielding theory that are being used in radiation shielding. The book is of great value to those involved in the development and implementation of systems to minimize and control the dangerous and lethal effect of radiation.

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