Contents
Control and the van der Pol equation
Controllability of linear autonomous processes
Convergence and stability constant of the theta-method
The Euler methods are the most popular, simplest and widely used methods for the solution of the Cauchy problem for the first order ODE. The simplest and usual generalization of these methods are the so called theta-methods (notated also as -methods), which are, in fact, the convex linear combination of the two basic variants of the Euler methods, namely of the explicit Euler method (EEM) and of the implicit Euler method (IEM). This family of the methods is well-known and it is introduced almost...
Convergence properties of the finite difference method for solving variational inequalities
Counting triangles that share their vertices with the unit -cube
This paper is about -triangles, which are the simplest nontrivial examples of -polytopes: convex hulls of a subset of vertices of the unit -cube . We consider the subclasses of right -triangles, and acute -triangles, which only have acute angles. They can be explicitly counted and enumerated, also modulo the symmetries of .
[Cover page]
Cover pages
Criteria for almost periodicity and some applications to differential equations
Curved elements in the finite element method
Czech-Japanese Seminar in Applied Mathematics 2008
The Special Issue of Kybernetika is devoted to the publication of selected peer-reviewed articles submitted by the participants of the Czech-Japanese Seminar in Applied Mathematics 2008 which took place on September 1-7, 2008 in Takachi-ho and Miyazaki, Japan. The Czech-Japanese Seminar in Applied Mathematics 2008 was organized by the Department of Applied Physics, Faculty of Engineering, University of Miyazaki. It was the fourth meeting in the series of the Czech-Japanese Seminars in Applied Mathematics....
Detection codes in railway interlocking systems
This paper describes a model of influence of random errors on the safety of the communication. The role of the communication in railway safety is specified. To ensure a safe communication, using of safety code is important. The most important parameter of the safety code is the maximal value of the probability of undetected error. Problems related with computing of this value are outlined in the article. As a model for the information transmission the binary symmetrical channel is introduced. ...
Deterministic and stochastic models of dynamics of chemical systems
Differential equations, higher monotonicity and principal pair of solutions
Differential subspaces associated with pairs of ordinary differential operators
Directory of the invited mathematicians
Dirichlet's problem on a snowflake
Discontinuous Galerkin method for the simulation of 3D viscous compressible flows
Dissipation and asymptotic behaviour of some reaction-diffusion systems
Domain optimization in axisymmetric elliptic problems