Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels

The methods under consideration are modifications of the standard cubic and quintic spline collocation techniques, and are derived by making use of recent results con- cerning the

[7] , New fewnomial upper bounds from Gale dual polynomial systems, Moscow Mathematical Journal 7 (2007), no. Khovanskii, A class of systems of transcendental

The aim of this paper is to construct and study evolution operators (or fundamental solutions) for quite general linear Volterra integrodif-.. ferential problems which

The present paper focuses on a new formulation of the region of attraction estimation for large piecewise systems of local polynomial dynamics and polynomial domains, such as

In the present study, a multiplex PCR protocol originally developed for frag- ment analysis was evaluated for sequencing based mutation screening of the ornithine transcarbamylase

and [19], we obtain combinatorial lower and upper bounds on the dimension of these spline spaces for general T-subdivisions. We relate the upper bound to the maximal interior

Figure 14: Generation of a hierarchical T–mesh of class T 2,2 starts with a tensor–product mesh over a rectangular domain (left); 3 cells at level 0 are subdivided by the red

Yong, Backward stochastic Volterra integral equations and some related problems, Stochastic Processes and their Application 116 (2006) 779 − 795.