In this paper, we propose new variants of the two-step Adams-Bashforth and the one-step Adams-Moulton methods for the numerical integration of ordinary differential equations (ODEs). The methods are constructed geometrically from an exponentially fitted osculating parabola. The accuracy and stability of the proposed variants is discussed and their applicability to some initial value problems is...

The symplectic group Sp(4, F ) has a particular interesting unitary representation for F a finite or local field. When F is finite this representation was denoted Θ10 [30], and somehow the name has stuck. We discuss this representation in some detail in the case of R. This material is mostly well known, at least to the experts, and this paper is intended as a reference for non–specialists. It a...

The plausibility and desirability of such a functor E were shown by Adams [2]. To obtain an existence proof (§3), I will construct an appropriate localization functor on the category of simplicial sets and will show that it induces the desired h,-localization functor on Ho. The backbone of this proof is in an appendix ($10~$12), where I introduce a version of simplicial homotopy theory in which...

ADAMS is a modular open-source Java framework for developing workflows available for academic research as well as commercial applications. It integrates data mining applications, like MOA, WEKA, MEKA and R, image and video processing and feature generation capabilities, spreadsheet and database access, visualizations, GIS, webservices and fast protoyping of new functionality using scripting lan...