Experience with the Parallel Solution of Partial Differential Equations on a Distributed Computing System

Festschrift for Erol Gelenbe's 70th Birthday

“…This work has included the performance of parallel numerical algorithms [39], the intrinsic mathematical properties of secondary memory systems and their latency [36], the uncertainty related to information itself [33], the end-to-end delay of important protocols such as Voice-over-IP that is now many years later used in Skype [3], the performance of search algorithms in unknown and dangerous environments [29], the behavior of interacting real and virtual agents within a simulation [35], the performance of gene regulatory networks [22], adaptive schemes in packet routing [21], the energy consumed in packet networks [43], or in communicating with spins [27,28].…”

Design of Distributed Parallel Computing Using by MapReduce/MPI Technology

“…The basic principles of organizing parallel and distributed computing are known for a long time [1,2]. The majority of modern researches is focused on researching new methods of developing the effective parallel computing for large-scale problems [3,4].…”

Geometric Performance Analysis of Periodic Behavior

“…Uses of logic include Henzinger et al 's [14] proof system for real time systems using bounds on transition times, Shaw's [27] extension of Hoare logic to reason about time, and Ramshaw's [23] generation of recurrence equations about timings using Hoare style axioms. Analytic methods include complexity analysis (e.g., [4]), microanalysis using difference equations (e.g., [15]), Petri nets (e.g., [20], stochastic processes (e.g., [10]), stochastic automata [22], queueing networks (e.g., [13]), and analysis of graphs whose nodes represent code segments (e.g., [11,25]). …”