De l'avantage des méthodes aux différences modifiées de Stiefel-Bettis pour la resolution d'équations différentielles du second ordre perturbées.
Delay-dependent stability of linear multi-step methods for linear neutral systems
In this paper, we are concerned with numerical methods for linear neutral systems with multiple delays. For delay-dependently stable neutral systems, we ask what conditions must be imposed on linear multi-step methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. Combining with Lagrange interpolation, linear multi-step methods can be applied to the neutral systems. Utilizing the argument principle, a sufficient condition is derived...
Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays
In this paper, we are concerned with stability of numerical methods for linear neutral systems with multiple delays. Delay-dependent stability of Runge-Kutta methods is investigated, i. e., for delay-dependently stable systems, we ask what conditions must be imposed on the Runge-Kutta methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. By means of Lagrange interpolation, Runge-Kutta methods can be applied to neutral differential...
Dense output for extrapolation methods.
Derivation of BDF coefficients for equidistant time step
We present the derivation of the explicit formulae of BDF coefficients for equidistant time step.
Deux résultats sur certaines formules particulières du type Runge-Kutta
Difference inequalities and error estimates for the Runge-Kutta method
Differenzverfahren für Schwingungen mit trockener und zäher Reibung und für Regelungssysteme. -A Finite Difference Method in Forced Vibrations with Combined Viscous and Coulomb Damping and in Feedback Control
Direct solution of th-order IVPs by homotopy analysis method.
Discrete Newton Methods and Iterated Defect Corrections.
Discrétisation d'une équation différentielle stochastique et calcul approché d'espérances de fonctionnelles de la solution
Discretization and Morse-Smale dynamical systems on planar discs.
Discretization and some qualitative properties of ordinary differential equations about equilibria.