In this work we present explicit Adams-type multi-step methods with extended stability intervals, which are analogous to the stabilised Chebyshev Runge – Kutta methods. It is proved that for any k ≥ 1 there exists an k-step method of order one interval length 2k. The first have remarkably simple expressions their coefficients and error constant. A damped modification these derived. general case...

Abstract. This document contains large-format Adams charts that compute 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. The charts are essentially complete through the 59-stem and contain partial results to the 70-stem. In the classical context, we believe that these are the most accurate charts of their kind. We also include Adams charts for ...

The new genus Sclerocoelus is described for a large group of New World species including Sclerocoelus sordipes (Adams) new combination, Sclerocoelus regularis (Malloch) new combination, Sclerocoelusplumiseta (Duda) new combination, and about 40 undescribed species. The widespread Nearctic species Limosina sordipes Adams is redescribed and designated as the type species of Sclerocoelus. Lectotyp...