On an estimation of the roots of algebraic equations
On an Euler-like method with exponential correction for initial-value problems
On an initial-boundary value problem for the nonlinear Schrödinger equation.
On an initial-value problem for a nonlinear transport equation in polymer chemistry
On an interaction of two elastic bodies: analysis and algorithms
The paper deals with existence and uniqueness results and with the numerical solution of the nonsmooth variational problem describing a deflection of a thin annular plate with Neumann boundary conditions. Various types of the subsoil and the obstacle which influence the plate deformation are considered. Numerical experiments compare two different algorithms.
On an internal approximation of a class of elliptic eigenvalue problems
On an iterative method for unconstrained optimization
We present a local and a semi-local convergence analysis of an iterative method for approximating zeros of derivatives for solving univariate and unconstrained optimization problems. In the local case, the radius of convergence is obtained, whereas in the semi-local case, sufficient convergence criteria are presented. Numerical examples are also provided.
On an iterative method for variational inequalities.
On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks
We develop and test a relatively simple enhancement of the classical model reduction method applied to a class of chemical networks with mass conservation properties. Both the methods, being (i) the standard quasi-steady-state approximation method, and (ii) the novel so-called delayed quasi-steady-state approximation method, firstly proposed by Vejchodský (2014), are extensively presented. Both theoretical and numerical issues related to the setting of delays are discussed. Namely, for one slightly...
On analysis of quasihyperbolic equations of linear viscoelasticity
On Appel-type quadrature rules.
On approximate large deviations for 1D diffusion.
On approximate solution of systems of linear ordinary differential equations
On approximate solutions of initial value problems for integro-differential equation with quasilinear differential operator and generalized Volterra operator
On Approximation by Sums of Chebyshev Norms.
On approximation of the Neumann problem by the penalty method
We prove that penalization of constraints occuring in the linear elliptic Neumann problem yields directly the exact solution for an arbitrary set of penalty parameters. In this case there is a continuum of Lagrange's multipliers. The proposed penalty method is applied to calculate the magnetic field in the window of a transformer.
On approximations of transformed chi-squared distributions in statistical applications.
On asymptotic behaviour of solutions of functional differential equations
On Asymptotically Best Norms for Powers of Operators.
On Averaging Sets.