Direct Asymptotic Methods

From Finite Sample to Asymptotic Methods in Statistics

10.1017/cbo9780511806957 ◽

2009 ◽

Cited By ~ 10

Author(s):

Pranab K. Sen ◽

Julio M. Singer ◽

Antonio C. Pedroso de Lima

Keyword(s):

Asymptotic Methods ◽

Finite Sample

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Use of Asymptotic Methods in Studying the Temperature Field in the Operating Well

Heat Transfer Research ◽

10.1615/heattransres.v37.i5.40 ◽

2006 ◽

Vol 37 (5) ◽

pp. 407-419

Author(s):

A. I. Filippov ◽

P. N. Mikhailov ◽

K. A. Filippov

Keyword(s):

Temperature Field ◽

Asymptotic Methods

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Solution of the Euler equations for two-element airfoils using asymptotic methods

10.2514/6.1994-82 ◽

1994 ◽

Author(s):

A. Verhoff ◽

T. Michal ◽

D. Stookesberry

Keyword(s):

Euler Equations ◽

Asymptotic Methods

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Asymptotic Methods in Electromagnetics

10.1007/978-3-642-60517-8 ◽

1997 ◽

Cited By ~ 47

Author(s):

Daniel Bouche ◽

Frédéric Molinet ◽

Raj Mittra

Keyword(s):

Asymptotic Methods

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Application of Asymptotic Methods to Calculating Electroweak Corrections in Polarized Bhabha Scattering

Physics of Atomic Nuclei ◽

10.1134/s1063778820020027 ◽

2020 ◽

Vol 83 (2) ◽

pp. 307-333

Author(s):

A. G. Aleksejevs ◽

S. G. Barkanova ◽

Yu. M. Bystritskiy ◽

V. A. Zykunov

Keyword(s):

Asymptotic Methods ◽

Bhabha Scattering ◽

Electroweak Corrections

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On the formation of fold-type oscillation marks in the continuous casting of steel

Royal Society Open Science ◽

10.1098/rsos.170062 ◽

2017 ◽

Vol 4 (6) ◽

pp. 170062 ◽

Cited By ~ 4

Author(s):

M. Vynnycky ◽

S. Saleem ◽

K. M. Devine ◽

B. J. Florio ◽

S. L. Mitchell ◽

...

Keyword(s):

Continuous Casting ◽

Asymptotic Methods ◽

Continuous Casting Of Steel ◽

Oscillation Mark ◽

Governing Equations ◽

Fold Type ◽

Parameters Analysis ◽

Oscillation Marks ◽

Recent Experimental Work ◽

Type Oscillation

Asymptotic methods are employed to revisit an earlier model for oscillation-mark formation in the continuous casting of steel. A systematic non-dimensionalization of the governing equations, which was not carried out previously, leads to a model with 12 dimensionless parameters. Analysis is provided in the same parameter regime as for the earlier model, and surprisingly simple analytical solutions are found for the oscillation-mark profiles; these are found to agree reasonably well with the numerical solution in the earlier model and very well with fold-type oscillation marks that have been obtained in more recent experimental work. The benefits of this approach, when compared with time-consuming numerical simulations, are discussed in the context of auxiliary models for macrosegregation and thermomechanical stresses and strains.

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