The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements
Complete extension of a convex function
The finite element solution of parabolic equations
In contradistinction to former results, the error bounds introduced in this paper are given for fully discretized approximate soltuions of parabolic equations and for arbitrary curved domains. Simplicial isoparametric elements in -dimensional space are applied. Degrees of accuracy of quadrature formulas are determined so that numerical integration does not worsen the optimal order of convergence in -norm of the method.
Mixed problems for hyperbolic equations with a small parameter
Počáteční Cauchyův problém u hyperbolických rovnic s malým parametrem
Support properties of a family of connected compact sets
A problem of finding a system of proportionally located parallel supporting hyperplanes of a family of connected compact sets is analyzed. A special attention is paid to finding a common supporting halfspace. An existence theorem is proved and a method of solution is proposed.
K šedesátinám člena korespondenta ČSAV prof. RNDr. Miloše Zlámala, DrSc., laureáta státní ceny K. Gottwalda
In memoriam Professor Miloš Zlámal
In memoriam Professor Miloš Zlámal
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