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"The Monte Carlo Methods Recent Advances, New Perspectives and Applications" ed. by Abdo Abou Jaoudé

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"The Monte Carlo Methods Recent Advances, New Perspectives and Applications" ed. by Abdo Abou Jaoudé

"The Monte Carlo Methods Recent Advances, New Perspectives and Applications" ed. by Abdo Abou Jaoudé
ITexLi | 2022 | ISBN: 1839687606 9781839687600 1839687592 9781839687594 1839687614 9781839687617 | 218 pages | PDF | 26 MB

This book is an illustration of the use of Monte Carlo methods applied to solve specific problems in mathematics, engineering, physics, statistics, and science in general.

In applied mathematics, the name Monte Carlo is given to the method of solving problems by means of experiments with random numbers. This name, after the casino at Monaco, was first applied around 1944 to the method of solving deterministic problems by reformulating them in terms of a problem with random elements, which could then be solved by large-scale sampling. But, by extension, the term has come to mean any simulation that uses random numbers. Monte Carlo methods have become among the most fundamental techniques of simulation in modern science.

Contents
1. The Paradigm of Complex Probability and Thomas Bayes’ Theorem
2. The Paradigm of Complex Probability and Isaac Newton’s Classical Mechanics: On the Foundation of Statistical Physics
3. Flooding Fragility Model Development Using Bayesian Regression
4. Markov Chain Monte Carlo in a Dynamical System of Information Theoretic Particles
5. Monte Carlo and Medical Physics
6. Reliability and Comparison of Some GEANT4-DNA Processes and Models for Proton Transportation: An Ultra-Thin Layer Study
7. Applications of Simulation Codes Based on Monte Carlo Method for Radiotherapy
8. Physical Only Modes Identification Using the Stochastic Modal Appropriation Algorithm
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