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Úlohy o kloboucích

Matúš Proner, Antonín Slavík (2022)

Pokroky matematiky, fyziky a astronomie

Článek přináší výběr některých úloh, ve kterých trpaslíci hádají barvy svých klobouků a snaží se za pomoci matematiky najít optimální strategii.

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.

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