A posteriori error analysis and adaptivity for nite element approximations of hyperbolic problems a Endre S uli The aim of this article is to present an overview of recent developments in the area of a posteriori error estimation for nite element approximations of hyperbolic problems. The approach pursued here rests on the systematic use of hyperbolic duality arguments. We also discuss the ques...

The infeasibility problem in traditional super efficiency models has been well established. A generalization of traditional inputor output-oriented super efficiency models, the directional distance function also suffers from infeasibility and related problems. The hyperbolic-oriented efficiency measure provides an alternative to the input-oriented, output-oriented, and directional efficiency me...

In this paper, we study the Hausdorff dimension of generalized intrinsic level set with respect to given ergodic meausre in a class non-uniformly hyperbolic interval maps finitely many branches.

In this paper, we propose a novel schedulability analysis for verifying the feasibility of large periodic task sets under the rate monotonic algorithm when the exact test cannot be applied on line due to prohibitively long execution times. The proposed test has the same complexity as the original Liu and Layland bound, but it is less pessimistic, thus allowing it to accept task sets that would ...

We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville–Pomeau map.