Tag: Carlo

Monte Carlo Methods Utilizing Mathematica® Applications in Inverse Transform and Acceptance-Rejection Sampling


Sujaul Chowdhury, "Monte Carlo Methods Utilizing Mathematica®: Applications in Inverse Transform and Acceptance-Rejection Sampling "
English | ISBN: 3031232933 | 2023 | 157 pages | PDF | 1193 KB
This book provides practical demonstrations of how to carry out definite integrals with Monte Carlo methods using Mathematica. Random variates are sampled by the inverse transform method and the acceptance-rejection method using uniform, linear, Gaussian, and exponential probability distribution functions. A chapter on the application of the Variational Quantum Monte Carlo method to a simple harmonic oscillator is included. These topics are all essential for students of mathematics and physics. The author includes thorough background on each topic covered within the book in order to help readers understand the subject. The book also contains many examples to show how the methods can be applied.

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Monte Carlo Techniques in Radiation Therapy Introduction, Source Modelling and Patient Dose Calculations


Monte Carlo Techniques in Radiation Therapy: Introduction, Source Modelling and Patient Dose Calculations By Frank Verhaegen (editor), Joao Seco (editor)
2021 | 240 Pages | ISBN: 1032078529 | PDF | 24 MB
About ten years after the first edition comes this second edition of Monte Carlo Techniques in Radiation Therapy: Introduction, Source Modelling and Patient Dose Calculations, thoroughly updated and extended with the latest topics, edited by Frank Verhaegen and Joao Seco. The book aims to provide a brief introduction to the history and basics of Monte Carlo simulation, but again has a strong focus on applications in radiotherapy. Since the first edition, Monte Carlo simulation has found many new applications, which were included in detail. The applications sections in this book cover: Modelling transport of photons, electrons, protons and ions Modelling radiation sources for external beam radiotherapy Modelling radiation sources for brachytherapy Design of radiation sources Modelling dynamic beam delivery Patient dose calculations in external beam radiotherapy Patient dose calculations in brachytherapy Use of Artificial Intelligence in Monte Carlo simulations This book is intended for both students or professionals, both novice and experienced, in medical radiotherapy physics. The book combines overviews of development, methods and references to facilitate Monte Carlo studies.

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Monte Carlo Strategies in Scientific Computing


Monte Carlo Strategies in Scientific Computing by Jun S. Liu
English | PDF | 2004 | 350 Pages | ISBN : 0387763694 | 29.1 MB
This book provides a self-contained and up-to-date treatment of the Monte Carlo method and develops a common framework under which various Monte Carlo techniques can be "standardized" and compared. Given the interdisciplinary nature of the topics and a moderate prerequisite for the reader, this book should be of interest to a broad audience of quantitative researchers such as computational biologists, computer scientists, econometricians, engineers, probabilists, and statisticians. It can also be used as the textbook for a graduate-level course on Monte Carlo methods. Many problems discussed in the alter chapters can be potential thesis topics for masters’ or Ph.D. students in statistics or computer science departments.

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