Bayesian Inverse Problems - Fundamentals and Engineering Applications
pdf | 11.53 MB | English | Isbn:‎ 1032112174 | Author: Juan Chiachío-Ruano | Year: 2021

English | 2021 | ISBN: 1032112174 | 249 pages | True PDF | 11.53 MB
This book is devoted to a special class of engineering problems calledBayesian inverse problems. These problems comprise not only the probabilistic Bayesian formulation of engineering problems, but also the associated stochastic simulation methods needed to solve them. Through this book, the reader will learn how this class of methods can be useful to rigorously address a range of engineering problems where empirical data and fundamental knowledge come into play. The book is written for a non-expert audience and it is contributed to by many of the most renowned academic experts in this field.

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Introduction to Inverse Problems for Differential Equations
English | 2021 | ISBN: 3030794261 | 532 Pages | PDF EPUB | 37 MB
This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering.

Understanding the Universe via the Inverse Square Law by Gerald W. Scanlon
English | January 8, 2019 | ISBN: 1793386854 | 63 pages | EPUB | 2.64 Mb
Light waves, sound waves, and gravity obey the inverse square law. The inverse square law states that a specified physical quantity or intensity is inversely proportional to the square of the distance from the source of that physical quantity. Any point source which spreads its influence equally in all directions without a limit to its range will obey the inverse square law. This comes from strictly geometrical considerations.In this book, the author presents an original geometrical framework derived from figures used to illustrate the inverse square law. Waves with different frequencies and amplitudes, the colors of the rainbow, and notes on the piano are all incorporated into the design of the geometrical framework. Furthermore, mathematical calculations and graphic designs also demonstrate the presence of gravity on the geometrical framework.