The paper explains the numerical parametrization method (PM), originally created for
optimal control problems, for classical calculus of variation problems that arise in connection …

The paper is devoted to the circumstantiation of the parameterization method for classical
calculus of variation problems corresponding to the non-linear ODEs. The method is based …

The paper is devoted to the explanation of the numerical parameterization method (PM) for
optimal control (OC) problems with intermediate phase constraint and to its circumstantiation …

The development and computational experience of the parameterization method for
nonlinear problems of optimal control and classical calculus of variations are presented. The …

The method of normal spline-collocation (NSC), applicable to a wide class of ordinary linear
singular differential and integral equations, is specified for the boundary value problems for …

Two spline methods for solution of the initial problem in differential algebraic equations are
considered. The first method is the method of variational splines applicable to non-linear …

A linear integro-differential equation with a singular differential operator in the principal part
is studied. For its approximate solution in the space of generalized functions, special …

In this article we consider boundary value problems for systems of ordinary differential
equations with singularities. We discuss the analytical properties of such systems and put …

The theory of p-regularity is applied to optimization problems and to singular ordinary
differential equations (ODE). The special variant of the method of the modified Lagrangian …

Our aim is to provide the open domain MATLAB code bvpsuite for the efficient numerical
solution of boundary value problems in ordinary differential equations. Motivated by …