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This makes necessary the use of numerical regularization, consisting in replacing the term |∇u| by (|∇u|2 + β 1/2 for a "small enough" positive artificial parameter β.
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The investigation also points to the limitations of the Oldroyd B model, with a potential finite time blow-up, and to the role of numerical regularization.
An improved form of the Localized Artificial Diffusivity (LAD) method is used for numerical regularization of shocks and contact discontinuities.
The regularization is topological and is automatically accomplished through the use of numerical schemes whose viscosity shrinks to zero with grid size.
Use of numerical methods.
The chapter discusses the use of Tikhonov regularization and presents some numerical results.
It is shown how methods for parameter identifiability analysis and numerical regularization can be used for monitoring the progress of the experimental campaigns in terms of generated information regarding parameters and selection of the best fitting parameter subset.
Another factor that affects beamformers is the use of a regularization parameter.
The algorithm entails the use of the Tikhonov regularization method, along with the L-curve method to select an optimal regularization parameter.
As a result, the regression framework of optimal scoring facilitates the use of commonly used regularization techniques.
37 min: Ireland are not making use of their numerical advantage at present.
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