Spline collocation methods for solving second order neutral delay differential equations.
The virtual element method for eigenvalue problems with potential terms on polytopic meshes
We extend the conforming virtual element method (VEM) to the numerical resolution of eigenvalue problems with potential terms on a polytopic mesh. An important application is that of the Schrödinger equation with a pseudopotential term. This model is a fundamental element in the numerical resolution of more complex problems from the Density Functional Theory. The VEM is based on the construction of the discrete bilinear forms of the variational formulation through certain polynomial projection operators...
Uniform methods for semilinear problems with an attractive boundary turning point.
Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods.
Метод Галёркина для сингулярно возмущенных краевых задач на адаптивных сетках.
Оценка погрешности аналога метода прямых для уравнения первого порядка в банаховом пространстве