Fourierova analýza dvojrozměrných terénních dat
Od naměřených dat k jejich matematickému popisu pomocí funkce - a zase zpátky
Universal approximation by hill functions
Honorary Editor of Applications of Mathematics Ivo Babuška is eighty-five
Professor Michal Křížek, Editor-in-Chief of Applications of Mathematics, is sixty
A remark on a class of universal hill functions
Professor Ivo Babuška
Petr Přikryl is seventy
A posteriori error estimates for parabolic differential systems solved by the finite element method of lines
Systems of parabolic differential equations are studied in the paper. Two a posteriori error estimates for the approximate solution obtained by the finite element method of lines are presented. A statement on the rate of convergence of the approximation of error by estimator to the error is proved.
Professor Ivo Babuška is eighty
Grid adjustment based on a posteriori error estimators
The adjustment of one-dimensional space grid for a parabolic partial differential equation solved by the finite element method of lines is considered in the paper. In particular, the approach based on a posteriori error indicators and error estimators is studied. A statement on the rate of convergence of the approximation of error by estimator to the error in the case of a system of parabolic equations is presented.
Roundoff errors in the fast computation of discrete convolutions
The efficient evaluation of a discrete convolution is usually carried out as a repated evaluation of a discrete convolution of a special type with the help of the fast Fourier transform. The paper is concerned with the analysis of the roundoff errors in the fast computation of this convolution. To obtain a comparison, the roundoff errors in the usual (direct) computation of this convolution are also considered. A stochastic model of the propagation of roundoff errors. is employed. The theoretical...
On the choice of iteration parameters in the Stone incomplete factorization
The paper is concerned with the iterative solution of sparse linear algebraic systems by the Stone incomplete factorization. For the sake of clarity, the algorithm of the Stone incomplete factorization is described and, moreover, some properties of the method are derived in the paper. The conclusion is devoted to a series of numerical experiments focused on the choice of iteration parameters in the Stone method. The model problem considered showe that we can, in general, choose appropriate values...
Professor Ivo Babuška is seventy
Universal approximation by systems of hill functions
Сравнение точности некоторых формулировок краевых условий при использовании метода сеток
Professor Michal Křížek, associate editor-in-chief of Applications of Mathematics, is seventy
On universally optimal quadrature formulae involving values of derivatives of integrand
Professor Ivo Babuška is seventy
The Mathematical Institute of the Academy of Sciences of the Czech Republic celebrates its 50th anniversary
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