This paper is concerned with the stability of multistep methods for ordinary initial-value
problems on grids with variable mesh-sizes. A necessary and sufficient condition for stability …

Hauptziel des vorliegenden zweiten Teils der Numerik von An fangswertaufgaben
gewöhnlicher Differentialgleichungen ist es, die heute zur Verfügung stehenden Verfahren …

In the first part of this paper, we summarize and complete earlier results of Delfour-Mitter [3]
on the optimal control problem for linear hereditary differential systems (HDS) with a linear …

Let α\leqqa<b be real numbers and let C(t_1,t_2→E^n) denote the space of continuous
functions on t_1,t_2 into E^n (n-dimensional Euclidean space). We consider the Cauchy …

In this paper we study in an abstract setting the structure of estimates for the global
(accumulated) error in semilinear finite-difference methods. We derive error estimates, which …

Brown introduced k-step methods using l derivatives. We investigate for which k and l the
methods are stable or unstable. It is seen that to any l the method becomes unstable for k …

Монография посвящена вопросам математического моделирования движения малых
тел Солнечной системы. Даны основные сведения о задаче эволюции небесных тел …

Two classes of one-step methods for the solution of the ordinary initial value problem are
treated. The schemes of order m give blocks of m approximate solutions at each step and …

Summary Brown [1] introduced k-step methods using l derivatives. Necessary and sufficient
conditions for A 0-stability and stiff stability of these methods are given. These conditions are …

Basic concepts of asymptotic theory for discretization methods have been difined so that
convergence is always equivalent to consistency and stanility. The theory is then applied to …