Modeling and Inverse Problems in the Presence of Uncertainty

ISBN-13: 9781482206425 / Angielski / Twarda / 2014 / 408 str.

H. Thomas Banks; Shuhua Hu; William Clayton Thompson

Opis

This text is written for applied mathematicians, physicists, biomathematics researchers, and engineers interested in deterministic models in relation to stochastic models and their interactions. It covers two major types of modelling and inverse problems: where one assumes that there is a precise mathematical model without a modelling error given by a dynamical system and where the mathematical model itself is a major source of uncertainty and this uncertainty is propagated in time.

Spis treści

Introduction. Probability and Statistics Overview. Mathematical and Statistical Aspects of Inverse Problems. Model Comparison Criteria. Estimation of Probability Measures Using Aggregate Population Data. Optimal Design. Propagation of Uncertainty in a Continuous Time Dynamical System. A Stochastic System and Its Corresponding Deterministic System. Frequently Used Notations and Abbreviations. Index.

O autorze

Banks, H. T.; Hu, Shuhua; Thompson, W. Clayton