Abstract This paper reviews strong stability preserving discrete variable methods for differential systems. The Runge–Kutta have been usually investigated in the literature on subject, using so-called Shu–Osher representation of these methods, as a convex combination first-order steps by forward Euler method. In this paper, we revisit analysis reformulating subclass general linear ordinary equa...

Let H be an infinite-dimensional separable complex Hilbert space and B(H) the algebra of all bounded linear operators on H. In this paper, we characterized maps ϕ:B(H)→B(H), which are surjective up to compact preserving set left semi-Weyl in both directions. As application, proved that ϕ preserves essential approximate point spectrum if only ideal is invariant under induced map φ Calkin automor...