In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...
A real is computably enumerable if it is the limit of a computable, increasing, converging sequence of rationals. A real is random if its binary expansion is a random sequence. Ou...
Abstract. We consider a simple model of higher order, functional computations over the booleans. Then, we enrich the model in order to encompass non-termination and unrecoverable e...
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...