B-Convergence Properties of Defect Correction Methods. II.
Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung durch Numerische Integration.
Beziehungen zwischen den Verfahren von Ritz und Bazley
Boundary controllability of the finite-difference space semi-discretizations of the beam equation
We propose a finite difference semi-discrete scheme for the approximation of the boundary exact controllability problem of the 1-D beam equation modelling the transversal vibrations of a beam with fixed ends. First of all we show that, due to the high frequency spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the natural functional setting. We then prove that there are two ways of restoring the uniform controllability...
Boundary controllability of the finite-difference space semi-discretizations of the beam equation
We propose a finite difference semi-discrete scheme for the approximation of the boundary exact controllability problem of the 1-D beam equation modelling the transversal vibrations of a beam with fixed ends. First of all we show that, due to the high frequency spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the natural functional setting. We then prove that there are two ways of restoring the uniform controllability...
Boundary value methods for the solution of differential-algebraic equations.
Boundary value problems for systems of functional differential equations
Algorithms for finding an approximate solution of boundary value problems for systems of functional ordinary differential equations are studied. Sufficient conditions for consistency and convergence of these methods are given. In the last section, a construction of methods of arbitrary order is presented.
Boundary value problems for the mildly non-linear ordinary differential equation of the fourth order
Bounds on Nonlinear Operators in Finite-dimensional Banach Spaces.
Branch Switching in Bifurcation Problems for Ordinary Differential Equations
Brève communication. Construction de filtres digitaux par la résolution d'équations différentielles
Brèves communications. Deux théorèmes sur la stabilité des schémas de Runge-Kutta simplement implicités
Calcul des couches limites dans une membrane porteuse de charges électriques fixes
Cauchy Problem for Differential Equation with Caputo Derivative
The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate solution...
Chebyshevian Multistep Methods for Ordinary Differential Equation.
Chord Techniques and Newton's Method for Discrete Bifurcation Problems.
Collocation and Residual Correction.
Collocation for Systems of Boundary Value Problems.
Collocation methods for differential-algebraic equations of index 3.
Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets.