scholarly journals A comparative study between kriging and adaptive sparse tensor-product methods for multi-dimensional approximation problems in aerodynamics design

2015 ◽  
Vol 48 ◽  
pp. 248-261 ◽  
Author(s):  
Abdellah Chkifa ◽  
Albert Cohen ◽  
Pierre-Yves Passaggia ◽  
Jacques Peter
Keyword(s):  
Comparative Study ◽  
Tensor Product ◽  
Dimensional Approximation ◽  
Approximation Problems

scholarly journals On Non-Tensor Product Bivariate Fractal Interpolation Surfaces on Rectangular Grids

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 525 ◽  
Author(s):  
Vasileios Drakopoulos ◽  
Polychronis Manousopoulos
Keyword(s):  
Comparative Study ◽  
Tensor Product ◽  
Necessary Conditions ◽  
Iterated Function System ◽  
Fractal Interpolation ◽  
Fractal Surfaces ◽  
Iterated Function ◽  
Data Points ◽  
Rectangular Grids ◽  
Pass Through

Some years ago, several authors tried to construct fractal surfaces which pass through a given set of data points. They used bivariable functions on rectangular grids, but the resulting surfaces failed to be continuous. A method based on their work for generating fractal interpolation surfaces is presented. Necessary conditions for the attractor of an iterated function system to be the graph of a continuous bivariable function which interpolates a given set of data are also presented here. Moreover, a comparative study for four of the most important constructions and attempts on rectangular grids is considered which points out some of their limitations and restrictions.

scholarly journals $K$-Continuity Is Equivalent To $K$-Exactness

2016 ◽  
Vol 118 (1) ◽  
pp. 95
Author(s):  
Otgonbayar Uuye
Keyword(s):  
Tensor Product ◽  
Approximation Theory ◽  
Inductive Limits ◽  
C Algebra ◽  
C Algebras ◽  
Finite Dimensional Approximation ◽  
Finite Dimensional ◽  
Dimensional Approximation

Let $A$ be a $C^{*}$-algebra. It is well known that the functor $B \mapsto A \otimes B$ of taking the minimal tensor product with $A$ preserves inductive limits if and only if it is exact. $C^{*}$-algebras with this property play an important role in the structure and finite-dimensional approximation theory of $C^{*}$-algebras. We consider a $K$-theoretic analogue of this result and show that the functor $B \mapsto K_{0}(A \otimes B)$ preserves inductive limits if and only if it is half-exact.

scholarly journals Best approximation problems in tensor-product spaces

1982 ◽  
Vol 102 (2) ◽  
pp. 437-446 ◽  
Author(s):  
J. R. Respess ◽  
Elliott Cheney
Keyword(s):  
Tensor Product ◽  
Best Approximation ◽  
Product Spaces ◽  
Approximation Problems

Flow Loads on the Shroud in a Boiling Water Reactor due to a Recirculation Outlet Line Break: A Comparative Study Between Potential Flow and Computational Fluid Dynamics Methodologies

2012 ◽  
Author(s):  
Raju Ananth ◽  
Sandra Sowah ◽  
Jay Gillis
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Flow Field ◽  
Comparative Study ◽  
Potential Flow ◽  
Three Dimensional ◽  
Dimensional Approximation ◽  
Jet Pumps ◽  
Computational Fluid Dynamics Cfd ◽  
The Comparative Study

This paper compares two methodologies for estimating the flow loads on the shroud of a typical BWR caused by a Recirculation Outlet Line Break. First, assuming an ideal and irrotational flow field, the complex potential methodology is used to calculate a two dimensional approximation of the flow field by ignoring variations along the radial direction. As a simplification for the comparative study the annulus will be assumed to be devoid of any structural components such as the jet pumps. The flow field derived from the potential flow approach will be used to compute the total lateral and moment loads acting on the shroud. These load values will be compared against similar values derived from a three dimensional and more realistic flow field computed by Computational Fluid Dynamics (CFD). The potential flow based method is computationally simpler as compared to the more time consuming CFD approach.

Author response for "Laminar distribution of cortical projection neurons to the pulvinar: A comparative study in cats and mice"

2020 ◽  
Author(s):  
Bruno Oliveira Ferreira de Souza ◽  
Éve‐Marie Frigon ◽  
Robert Tremblay‐Laliberté ◽  
Christian Casanova ◽  
Denis Boire
Keyword(s):  
Comparative Study ◽  
Author Response ◽  
Projection Neurons ◽  
Cortical Projection ◽  
Laminar Distribution

Structural and functional properties of Escherichia coli-derived nucleoplasmin A comparative study of recombinant and natural proteins

2001 ◽  
Vol 268 (6) ◽  
pp. 1739-1748
Author(s):  
Aitor Hierro ◽  
Jesus M. Arizmendi ◽  
Javier De Las Rivas ◽  
M. Angeles Urbaneja ◽  
Adelina Prado ◽  
...  
Keyword(s):  
Escherichia Coli ◽  
Comparative Study ◽  
Functional Properties ◽  
Structural And Functional Properties
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