Das Differenzenverfahren für singuläre Rand-Eigenwertaufgaben gewöhnlicher Differentialgleichungen.
De l'avantage des méthodes aux différences modifiées de Stiefel-Bettis pour la resolution d'équations différentielles du second ordre perturbées.
Decentralized control and synchronization of time-varying complex dynamical network
A new class of controlled time-varying complex dynamical networks with similarity is investigated and a decentralized holographic-structure controller is designed to stabilize the network asymptotically at its equilibrium states. The control design is based on the similarity assumption for isolated node dynamics and the topological structure of the overall network. Network synchronization problems, both locally and globally, are considered on the ground of decentralized control approach. Each sub-controller...
Decomposition conditions for two-point boundary value problems.
Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations
We present two defect correction schemes to accelerate the Petrov-Galerkin finite element methods [19] for nonlinear Volterra integro-differential equations. Using asymptotic expansions of the errors, we show that the defect correction schemes can yield higher order approximations to either the exact solution or its derivative. One of these schemes even does not impose any extra regularity requirement on the exact solution. As by-products, all of these higher order numerical methods can also be...
Defect Correction from a Galerkin Viewpoint.
Deferred Corrections Using Uncentered End Formulas.
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.
Deployment/retrieval modeling of cable-driven parallel robot.
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
Die Determinantenmethode zur Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung.
Die diskrete Greensche Funktion und Fehlerabschätzungen zum Galerkin-Verfahren.
Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme (The Uniform Stability of Singularly Perturbed Discrete and Continuous Boundary Value Problems)
Difference Approximations for Singular Perturbations of Systems of Ordinary Differential Equations.
Difference inequalities and error estimates for the Runge-Kutta method
Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers.
Differential equations associated with generalized Bell polynomials and their zeros
In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.