Singular separatrix splitting and the Melnikov method: An experimental study.
Some comparisons of difference schemes on meshes of Shishkin and Bakhvalov type.
Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms.
The stability analysis of a discretized pantograph equation
The paper deals with a difference equation arising from the scalar pantograph equation via the backward Euler discretization. A case when the solution tends to zero but after reaching a certain index it loses this tendency is discussed. We analyse this problem and estimate the value of such an index. Furthermore, we show that the utilized proof technique enables us to investigate some other numerical formulae, too.
The structure of spline collocation matrix for singularly perturbation problems with two small parameters.
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.
Two-sided approximation to periodic solutions of ordinary differential equations.
Uniform methods for semilinear problems with an attractive boundary turning point.
Uniformly convergent difference scheme for singularly perturbed problem of mixed type.
Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions.
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations.
Метод поэтапного обращения для численного решения бигармонического уравнения.
Приближенное решение несимметрических задач на собственные значения. Применение к методу сеток