@article{SchuchartGerndtKjeldsbergetal., author = {Schuchart, Joseph and Gerndt, Michael and Kjeldsberg, Per Gunnar and Diethelm, Kai and Lysaght, Michael and Hor{\´a}k, David and Ř{\´i}ha, Lubom{\´i}r and Gocht, Andreas and Sourouri, Mohammed and Kumaraswamy, Madhura and Chowdhury, Anamika and Jahre, Magnus and Bouizi, Othman and Sabir Mian, Umbreen and Kruž{\´i}k, Jakub and Sojka, Radim and Beseda, Martin and Kannan, Venkatesh and Bendifallah, Zakaria and Hackenberg, Daniel and Nagel, Wolfgang E.}, title = {The READEX formalism for automatic tuning for energy efficiency}, series = {Computing}, volume = {99}, journal = {Computing}, doi = {10.1007/s00607-016-0532-7}, pages = {727 -- 745}, abstract = {Energy efficiency is an important aspect of future exascale systems, mainly due to rising energy cost. Although High performance computing (HPC) applications are compute centric, they still exhibit varying computational characteristics in different regions of the program, such as compute-, memory-, and I/O-bound code regions. Some of today's clusters already offer mechanisms to adjust the system to the resource requirements of an application, e.g., by controlling the CPU frequency. However, manually tuning for improved energy efficiency is a tedious and painstaking task that is often neglected by application developers. The European Union's Horizon 2020 project READEX (Runtime Exploitation of Application Dynamism for Energy-efficient eXascale computing) aims at developing a tools-aided approach for improved energy efficiency of current and future HPC applications. To reach this goal, the READEX project combines technologies from two ends of the compute spectrum, embedded systems and HPC, constituting a split design-time/runtime methodology. From the HPC domain, the Periscope Tuning Framework (PTF) is extended to perform dynamic auto-tuning of fine-grained application regions using the systems scenario methodology, which was originally developed for improving the energy efficiency in embedded systems. This paper introduces the concepts of the READEX project, its envisioned implementation, and preliminary results that demonstrate the feasibility of this approach.}, language = {en} } @article{DiethelmSiegmundTuan, author = {Diethelm, Kai and Siegmund, Stefan and Tuan, Hoang The}, title = {Asymptotic behavior of solutions of linear multi-order fractional differential systems}, series = {Fractional Calculus and Applied Analysis}, volume = {20}, journal = {Fractional Calculus and Applied Analysis}, doi = {10.1515/fca-2017-0062}, pages = {1165 -- 1195}, abstract = {In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems. Next, a representation of solutions of homogeneous linear multi-order fractional differential equation systems in series form is provided. Finally, we give characteristics regarding the asymptotic behavior of solutions to some classes of linear multi-order fractional differential equation systems.}, language = {en} } @article{Diethelm, author = {Diethelm, Kai}, title = {Erratum: The mean value theorems and a Nagumo-type uniqueness theorem for Caputo's fractional calculus}, series = {Fractional Calculus and Applied Analysis}, volume = {20}, journal = {Fractional Calculus and Applied Analysis}, doi = {10.1515/fca-2017-0082}, pages = {1567 -- 1570}, abstract = {In some of the statements of the author's paper "The mean value theorems and a Nagumo-type uniqueness theorem for Caputo's fractional calculus" (Fract. Calc. Appl. Anal. 15, No 2 (2012), pp. 304-313), a factor α was missing. This note provides the correct formulations.}, language = {en} }