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On numerical solver selection and related uncertainty terminology

(2010) JOURNAL OF HYDROINFORMATICS. 12(3). p.241-250
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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.
Keywords
numerical solver, mathematical models, terminology, uncertainty, TOOLS, uncertainty matrix, SYSTEMS

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Please use this url to cite or link to this publication:

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.
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.
Chicago author-date
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.
Chicago author-date (all authors)
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.
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.
IEEE
[1]
P. Claeys, A. van Griensven, L. Benedetti, B. De Baets, and P. A. Vanrolleghem, “On numerical solver selection and related uncertainty terminology,” JOURNAL OF HYDROINFORMATICS, vol. 12, no. 3, pp. 241–250, 2010.
@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},
  keywords     = {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},
}

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