Open Access
Foundations and Applications of Possibility Theory
Reads0
Chats0
About:
The article was published on 1995-01-01 and is currently open access. It has received 48 citations till now. The article focuses on the topics: Possibility theory.read more
Citations
More filters
Book
Verification and Validation in Scientific Computing
TL;DR: A comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations that are described by partial differential and integral equations and the simulations that result from their numerical solution.
Journal ArticleDOI
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
TL;DR: This review describes the use of PC expansions for the representation of random variables/fields and discusses their utility for the propagation of uncertainty in computational models, focusing on CFD models.
Journal ArticleDOI
Error and uncertainty in modeling and simulation
William L. Oberkampf,Sharon M. Deland,Brian Milne Rutherford,Kathleen V. Diegert,K. F. Alvin +4 more
TL;DR: A general framework for identifying error and uncertainty in computational simulations that deal with the numerical solution of a set of partial differential equations (PDEs) is developed, applicable to any numerical discretization procedure for solving ODEs or PDEs.
An exploration of alternative approaches to the representation of uncertainty in model predictions.
TL;DR: Several simple test problems are used to explore the following approaches to the representation of the uncertainty in model predictions that derives from uncertainty inmodel inputs: probability theory, evidence theory, possibility theory, and interval analysis.
ReportDOI
Representation of analysis results involving aleatory and epistemic uncertainty
TL;DR: Procedures are described for the representation of results in analyses that involve both Aleatory uncertainty and epistemic uncertainty, with aleatory uncertainty deriving from an inherent randomness in the behaviour of the system under study and epistemological uncertainty derived from a lack of knowledge about the appropriate values to use for quantities that are assumed to have fixed but poorly known values in the context of a specific study.