On the , and - version of the finite element method
On the Hahn-Mazurkiewicz problem in non-metric spaces
On the horizontal cohomology with general coefficients
[For the entire collection see Zbl 0699.00032.] A new cohomology theory suitable for understanding of nonlinear partial differential equations is presented. This paper is a continuation of the following paper of the author [Differ. geometry and its appl., Proc. Conf., Brno/Czech. 1986, Commun., 235-244 (1987; Zbl 0629.58033)].
On the imbedding of extremally disconnected spaces into bicompacta
On the interpolation constants over triangular elements
We propose a simple method to obtain sharp upper bounds for the interpolation error constants over the given triangular elements. These constants are important for analysis of interpolation error and especially for the error analysis in the Finite Element Method. In our method, interpolation constants are bounded by the product of the solution of corresponding finite dimensional eigenvalue problems and constant which is slightly larger than one. Guaranteed upper bounds for these constants are obtained...
On the invariant variational sequences in mechanics
Summary: The -th order variational sequence is the quotient sequence of the De Rham sequence on the th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite)...
On the iterative solution of finite element systems of equations
On the iterative solution of some nonlinear evolution equations
On the lattice of topologies
On the mathematical and numerical modelling of electron beams
On the mathematical and numerical study of non-viscous axially symmetric channel flows
On the meaning of Bell's inequalities violation
On the method of the solution of elasticity theory problem for the inhomogeneous and anisotropic body
On the motion of rigid bodies in a compressible viscous fluid under the action of gravitational forces
The global existence of weak solution is proved for the problem of the motion of several rigid bodies in a barotropic compressible fluid, under the influence of gravitational forces.
On the nodal set of eigenfunctions
On the number of stationary patterns in reaction-diffusion systems
We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically. As a typical example, we investigate the reaction-diffusion system designed to model...
On the numerical solution of nonlinear partial differential equations on divergence form
On the open mapping theorem
On the properties of linear differential equations of the second order in the complex domain
On the -deformed Heisenberg uncertainty relations and discrete time
The opportunity for verifying the basic principles of quantum theory and possible -deformation appears in quantum cryptography (QC) – a new discipline of physics and information theory.The author, member of the group of cryptology of Praha, presents in this paper the possibility to verify the -deformation of Heisenberg uncertainty relation -deformed QM and possible discretization on the base of a model presented in the fourth section.In the seven sections, the author discusses these problems....