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.
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 computation of operational matrices for polynomial bases.
Direct solution of th-order IVPs by homotopy analysis method.
Direct solution of nonlinear constrained quadratic optimal control problems using B-spline functions
In this paper, a new numerical method for solving the nonlinear constrained optimal control with quadratic performance index is presented. The method is based upon B-spline functions. The properties of B-spline functions are presented. The operational matrix of derivative () and integration matrix () are introduced. These matrices are utilized to reduce the solution of nonlinear constrained quadratic optimal control to the solution of nonlinear programming one to which existing well-developed...
Discrete evolutions: Convergence and applications
We prove a convergence result for a time discrete process of the form under weak conditions on the function . This result is a slight generalization of the convergence result given in [5].Furthermore, we discuss applications to minimizing problems, boundary value problems and systems of nonlinear equations.
Discrete Inverse Sturm-Liouville Problems. I. Uniqueness for Symmetric Potentials.