IPSAL: Implementation of the module to generate the Sobol sequence and indices

Sensitivity and uncertainty analysis hold significant importance across a range of applications, spanning from industrial problems to climate change, financial risk assessment, as well as mathematical and computational models. These analyses involve identifying influential input parameters in models...

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Bibliographic Details
Authors: Alves Borges, Luiz Felipe, Freitas Ferreira, Fabio, Gonçalves, Fábio, Espósito Junior, Antônio, da Silva Oliveira, Aline Fernanda, Rambaldi Telles, Wagner
Format: article
Status:Published version
Publication Date:2023
Country:Brasil
Institution:Universidade Federal do Rio Grande (FURG)
Repository:Vetor (Online)
Language:English
OAI Identifier:oai:ojs.periodicos.furg.br:article/16439
Online Access:https://periodicos.furg.br/vetor/article/view/16439
Access Level:Open access
Keyword:sensitivity analysis
sobol method
unusual operation
parameter correlation
computational modeling
applied mathematics
inverse problem
análise de sensibilidade
Método de Sobol
operação não usual
correlação de parâmetros
Description
Summary:Sensitivity and uncertainty analysis hold significant importance across a range of applications, spanning from industrial problems to climate change, financial risk assessment, as well as mathematical and computational models. These analyses involve identifying influential input parameters in models to comprehend their impact on the output. Sensitivity analysis can be performed locally, examining parameter effects at a fixed value, or globally, evaluating the model across a range of parameter values. The Sobol method stands as a robust approach for global sensitivity analysis, employing a Sobol sequence to create samples more uniformly within the input parameter space, thus enabling efficient exploration of model inputs. This paper aims to introduce a computational implementation in Scilab to generate the Sobol sequence for utilization in sensitivity analysis through the Sobol method. A test case was applied to generate Sobol sequences and discuss the obtained results.