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Uniform atoms on ω

Simon, P. (1977)

General topology and its relations to modern analysis and algebra IV

Uniform L 1 error bounds for semi-discrete finite element solutions of evolutionary integral equations

Lin, Qun, Xu, Da, Zhang, Shuhua (2012)

Applications of Mathematics 2012

In this paper, we consider the second-order continuous time Galerkin approximation of the solution to the initial problem u t + 0 t β ( t - s ) A u ( s ) d s = 0 , u ( 0 ) = v , t > 0 , where A is an elliptic partial-differential operator and β ( t ) is positive, nonincreasing and log-convex on ( 0 , ) with 0 β ( ) < β ( 0 + ) . Error estimates are derived in the norm of L t 1 ( 0 , ; L x 2 ) , and some estimates for the first order time derivatives of the errors are also given.

Universal enveloping algebras and quantization

Grabowski, Janusz (1993)

Proceedings of the Winter School "Geometry and Physics"

It is shown how the universal enveloping algebra of a Lie algebra L can be obtained as a formal deformation of the Kirillov-Souriau Poisson algebra C ( L * ) of smooth functions on the dual of L . This deformation process may be viewed as a “quantization” in the sense of F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer [Ann. Phys. 111, 61-110 (1978; Zbl 0377.53024) and ibid., 111-151 (1978; Zbl 0377.53025)]. The result presented is a somewhat more elaborate version of earlier findings...

Universal spaces

Schori, R. M. (1967)

General Topology and its Relations to Modern Analysis and Algebra

Use of a differential evolution algorithm for the optimization of the heat radiation intensity

Mlýnek, Jaroslav, Knobloch, Roman, Srb, Radek (2015)

Application of Mathematics 2015

This article focuses on the heat radiation intensity optimization on the surface of an aluminium shell mould. The outer mould surface is heated by infrared heaters located above the mould and the inner mould surface is sprinkled with a special PVC powder. This is an economic way of producing artificial leathers in the automotive industry (e.g. the artificial leather on car dashboards). The article includes a description of a mathematical model that allows us to calculate the heat radiation intensity...

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