Some Common Themes in Visual Mathematical Art
Some practical aspects of parallel adaptive BDDC method
We describe a parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method enhanced by an adaptive construction of coarse problem. The method is designed for numerically difficult problems, where standard choice of continuity of arithmetic averages across faces and edges of subdomains fails to maintain the low condition number of the preconditioned system. Problems of elasticity analysis of bodies consisting of different materials with rapidly changing stiffness may...
Some problems in modelling of real systems by formalized ones
Some problems in number theory, combinatorics and combinatorial geometry.
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 solved and unsolved problems in combinatorial number theory
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...
Současná aplikovaná matematika a počítačové modelování
Souhrnný rejstřík PMFA za léta 1956-1985
Special issue: intersections of art and science
Spherically symmetric solutions to a model for interface motion by interface diffusion
The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.
Spojité, diskrétní a ... všechno ostatní
Společný spůsob dokazování různých pouček a vzorců. [I.]
Společný spůsob dokazování různých pouček a vzorců. [II.]
Steady and unsteady 2D numerical solution of generalized Newtonian fluids flow
This article presents the numerical solution of laminar incompressible viscous flow in a branching channel for generalized Newtonian fluids. The governing system of equations is based on the system of balance laws for mass and momentum. The generalized Newtonian fluids differ through choice of a viscosity function. A power-law model with different values of power-law index is used. Numerical solution of the described models is based on cell-centered finite volume method using explicit Runge–Kutta...
Strategické hry. I
Strategické hry. II
Strategie v heuristice
Strutture numeriche, autoorganizzazione e senso del bello
Subnormality from bounded vectors