Ghent University Academic Bibliography

Advanced

On numerical solver selection and related uncertainty terminology

Petra Claeys UGent, Ann van Griensven, Lorenzo Benedetti UGent, Bernard De Baets UGent and Peter A Vanrolleghem (2010) JOURNAL OF HYDROINFORMATICS. 12(3). p.241-250
abstract
Mathematical models provide insight into numerous biological, physical and chemical systems. They can be used in process design, optimisation, control and decision support, as acknowledged in many different fields of scientific research. Mathematical models do not always yield reliable results and uncertainty should be taken into account. At present, it is possible to identify some factors contributing to uncertainty, and the awareness of the necessity of uncertainty assessment is rising. In the fields of Environmental Modelling and Computational Fluid Dynamics, for instance, terminology related to uncertainty exists and is generally accepted. However, the uncertainty due to the choice of the numerical solver and its settings used to compute the solution of the models did not receive much attention in the past. A motivating example on the existence and effect of numerical uncertainty is provided and clearly shows that we can no longer ignore it. This paper introduces a new terminology to support communication about uncertainty caused by numerical solvers, so that scientists become perceptive to it.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
numerical solver, mathematical models, terminology, uncertainty, TOOLS, uncertainty matrix, SYSTEMS
journal title
JOURNAL OF HYDROINFORMATICS
J. Hydroinform.
volume
12
issue
3
pages
241 - 250
Web of Science type
Article
Web of Science id
000279499900001
JCR category
ENGINEERING, CIVIL
JCR impact factor
1.2 (2010)
JCR rank
28/114 (2010)
JCR quartile
1 (2010)
ISSN
1464-7141
DOI
10.2166/hydro.2009.072
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1085643
handle
http://hdl.handle.net/1854/LU-1085643
date created
2010-12-09 13:24:47
date last changed
2011-02-23 09:26:01
@article{1085643,
  abstract     = {Mathematical models provide insight into numerous biological, physical and chemical systems. They can be used in process design, optimisation, control and decision support, as acknowledged in many different fields of scientific research. Mathematical models do not always yield reliable results and uncertainty should be taken into account. At present, it is possible to identify some factors contributing to uncertainty, and the awareness of the necessity of uncertainty assessment is rising. In the fields of Environmental Modelling and Computational Fluid Dynamics, for instance, terminology related to uncertainty exists and is generally accepted. However, the uncertainty due to the choice of the numerical solver and its settings used to compute the solution of the models did not receive much attention in the past. A motivating example on the existence and effect of numerical uncertainty is provided and clearly shows that we can no longer ignore it. This paper introduces a new terminology to support communication about uncertainty caused by numerical solvers, so that scientists become perceptive to it.},
  author       = {Claeys, Petra and van Griensven, Ann and Benedetti, Lorenzo and De Baets, Bernard and Vanrolleghem, Peter A},
  issn         = {1464-7141},
  journal      = {JOURNAL OF HYDROINFORMATICS},
  keyword      = {numerical solver,mathematical models,terminology,uncertainty,TOOLS,uncertainty matrix,SYSTEMS},
  language     = {eng},
  number       = {3},
  pages        = {241--250},
  title        = {On numerical solver selection and related uncertainty terminology},
  url          = {http://dx.doi.org/10.2166/hydro.2009.072},
  volume       = {12},
  year         = {2010},
}

Chicago
Claeys, Petra, Ann van Griensven, Lorenzo Benedetti, Bernard De Baets, and Peter A Vanrolleghem. 2010. “On Numerical Solver Selection and Related Uncertainty Terminology.” Journal of Hydroinformatics 12 (3): 241–250.
APA
Claeys, Petra, van Griensven, A., Benedetti, L., De Baets, B., & Vanrolleghem, P. A. (2010). On numerical solver selection and related uncertainty terminology. JOURNAL OF HYDROINFORMATICS, 12(3), 241–250.
Vancouver
1.
Claeys P, van Griensven A, Benedetti L, De Baets B, Vanrolleghem PA. On numerical solver selection and related uncertainty terminology. JOURNAL OF HYDROINFORMATICS. 2010;12(3):241–50.
MLA
Claeys, Petra, Ann van Griensven, Lorenzo Benedetti, et al. “On Numerical Solver Selection and Related Uncertainty Terminology.” JOURNAL OF HYDROINFORMATICS 12.3 (2010): 241–250. Print.