Some relations between topological and algebraic properties of topological groups
Some remarks on mixed approximation problem
Several years ago, we discussed the problem of approximation polynomials with Milan Práger. This paper is a natural continuation of the work we collaborated on. An important part of numerical analysis is the problem of finding an approximation of a given function. This problem can be solved in many ways. The aim of this paper is to show how interpolation can be combined with the Chebyshev approximation.
Some remarks to numerical solution of the Euler and Navier-Stokes equation
Some results in the theory of Orlicz spaces and applications to variational problems
Some results on locally compact groups
Some special geometry in dimension six
Motivated by the study of CR-submanifolds of codimension in , the authors consider here a -dimensional oriented manifold equipped with a -dimensional distribution. Under some non-degeneracy condition, two different geometric situations can occur. In the elliptic case, one constructs a canonical almost complex structure on ; the hyperbolic case leads to a canonical almost product structure. In both cases the only local invariants are given by the obstructions to integrability for these structures....
Some special methods of homeomorphism theory in infinite-dimensional topology
Some theorems for holomorphic functions with proximate order
Some Thoughts on the Near-Future Digital Mathematics Library
The mathematicians’ Digital mathematics library (DML) summarises the generous project that all mathematics ever published should end up in digital form so that it would be more easily referenced, accessed, used. This concept was formulated at the very beginning of this century, and yielded a lot of international activity that culminated around years 2002–2005. While it is estimated that a substantial part of the existing math literature is already available in some digital format, nothing looking...
Some weaker forms of compactness
Space-time adaptive -FEM: Methodology overview
We present a new class of self-adaptive higher-order finite element methods (-FEM) which are free of analytical error estimates and thus work equally well for virtually all PDE problems ranging from simple linear elliptic equations to complex time-dependent nonlinear multiphysics coupled problems. The methods do not contain any tuning parameters and work reliably with both low- and high-order finite elements. The methodology was used to solve various types of problems including thermoelasticity,...
Space-time decompositions via differential forms
The author presents a simple method (by using the standard theory of connections on principle bundles) of -decomposition of the physical equations written in terms of differential forms on a 4-dimensional spacetime of general relativity, with respect to a general observer. Finally, the author suggests possible applications of such a decomposition to the Maxwell theory.
Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations
Special connections on smooth 3-web manifolds
For a three-web of codimension on a differentiable manifold of dimension , the author studies the Chern connection and a family of parallelizing connections. The latter ones have a common property with the former: the web-distributions are parallel with respect to them.
Special connections on symplectic manifolds
Special Issue: AAMP VIII AND ISCAMI 2011
Special issue: Asymptotic statistics
Special issue dedicated to the thirteenth “Journées Montoises d'Informatique Théorique”
Special issue dedicated to the thirteenth "Journées Montoises d'Informatique Théorique"
Special Issue: Editorial