On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.
On simulations of the classical harmonic oscillator equation by difference equations.
On solving systems of differential algebraic equations
In the paper the comparison method is used to prove the convergence of the Picard iterations, the Seidel iterations, as well as some modifications of these methods applied to approximate solution of systems of differential algebraic equations. The both linear and nonlinear comparison equations are emloyed.
On Some Difference Schemes for Singular Singularly-Perturbed Boundary Value Problems.
On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D⋆⋆
We study the spectral stability of solitary wave solutions to the nonlinear Dirac equation in one dimension. We focus on the Dirac equation with cubic nonlinearity, known as the Soler model in (1+1) dimensions and also as the massive Gross-Neveu model. Presented numerical computations of the spectrum of linearization at a solitary wave show that the solitary waves are spectrally stable. We corroborate our results by finding explicit expressions for...
On symmetrizers for Gauss methods.
On the application of mixed finite element methods to the wave equations
On the Approximation of Periodic Solutions of Equations with Bounded Nonlinearities.
On the approximation of the limit cycles function.
On the Asymptotic Stability of ...-Methods for Delay Differential Equations.
On the Behaviour of Global Errors at Infinity in the Numerical Integration of Stable Initial Value Problems.
On the comparison of error bounds for finite difference schemes.
On the computational solution of two-point boundary-value problems.
On the Concepts of Convergence, Consistency, and Stability in Connection with some Numerical Methods.
On the convergence of multistep methods for nonlinear stiff differential equations.
On the convergence of multistep methods for nonlinear two-point boundary value problems
On the creation of a stable drop-like static meniscus, appropriate for the growth of a single crystal tube with prior specified inner and outer radii.
On the Design of High Order Exponentially Fitted Formulae for the Numerical Integration of Stiff Systems.
On the discretization of a partial differential equation in the neighborhood of a periodic orbit.
On the distribution of zeros of solutions of some types of differential equation