Abstract semilinear equations with small parameter
Active scalars and the Euler equations
Adaptive frame methods with cubic spline-wavelet bases
Algebraic methods in the theory of global properties of the oscillatory equations
Algorithm for construction of explicit -order Runge-Kutta formulas for the systems of differential equations of the 1st order
An application of the averaged gradient technique
An electromagnetic free-boundary problem
An international symposium honouring professor Karel Rektorys' eightieth. Foreword
An optimal control problem for Ito stochastic equations
Analysis of the discontinuous Galerkin finite element method applied to a scalar nonlinear convection-diffusion equation
We deal with a scalar nonstationary convection-diffusion equation with nonlinear convective as well as diffusive terms which represents a model problem for the solution of the system of the compressible Navier-Stokes equations describing a motion of viscous compressible fluids. We present a discretization of this model equation by the discontinuous Galerkin finite element method. Moreover, under some assumptions on the nonlinear terms, domain partitions and the regularity of the exact solution,...
Analytical solution of rotationally symmetric Stokes flow near corners
We present analytical solution of the Stokes problem in rotationally symmetric domains. This is then used to find the asymptotic behaviour of the solution in the vicinity of corners, also for Navier-Stokes equations. We apply this to construct very precise numerical finite element solution.
Application de la théorie des fonctions convexes d'ordre supérieur à l'étude de certains procédés d'intégration numérique des équations différentielles
Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter
Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection
Multi-dimensional advection terms are an important part of many large-scale mathematical models which arise in different fields of science and engineering. After applying some kind of splitting, these terms can be handled separately from the remaining part of the mathematical model under consideration. It is important to treat the multi-dimensional advection in a sufficiently accurate manner. It is shown in this paper that high order of accuracy can be achieved when the well-known Crank-Nicolson...
Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations
Application of the Ritz method to the solution of parabolic boundary value problems of arbitrary order in the space variables
Approximate trajectories and Lyapunov exponents for dynamical systems
Approximation of contact problems with friction
Asymptotic behaviour for semilinear damped wave equations on
Asymptotic invariant sets of autonomous differential equations