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Abstract. We present a new approach to metric Diophantine approximation on manifolds based on the correspondence between approximation properties of numbers and orbit properties of certain flows on homogeneous spaces. This approach yields a new proof of a conjecture of Mahler, originally settled

Lightweight metallic sandwich plates comprising periodic truss cores and solid facesheets are optimally designed against minimum weights. Constitutive models of the truss core are developed using homogenization techniques which, together with effective single-layer sandwich approaches, form

applications of sandwich structures, and their effective transverse shear stiffness properties are important material properties in analysis and design. Based on a combined homogenization and multi-objective optimization technique, the effective transverse shear stiffness properties of sinusoidal cores

are not limited to the alternating and mean stresses, load frequency, environment conditions, and macroscopic form of the structure, cores. The effect of the alternating strain on the fatigue life of poly-meric cellular materials was shown to be more significant than that of the mean stress. It was also observed

specific optimization methodologies for important scientific computations. In this work, we examine sparse matrix-vector multiply (SpMV) – one of the most heavily used kernels in scientific computing – across a broad spectrum of multicore designs. Our experimental platform includes the homogeneous AMD

and an 8-core 32-thread Intel Graphics and Media Accelerator X3000, and a homogeneous 32-way Unisys SMP system with Intel Xeon processors. We implemented a set of benchmarks using the Merge framework and enhanced the library with X3000 specific implementations, achieving speedups of 3.6x – 8.5x using the X

Control Units (ECUs). One can be number of nearby applications of homogeneous or heterogeneous nature can be controlled by one ECU. The use of multi-core technology gives facility to put multiple cores depends on the applications in to single die with their peripherals. The paper presents design of multi-core

A new paradigm is introduced which allows the performance of whole core transport calculations without lattice homogenization. Quasi-reflected interface conditions are formulated to partially decouple periodic lattice effects from the pin-cell to pin-cell flux variation in the finite subelement

Abstract-In this paper we address the impact of task allocation to the system power consumption of a homogenous multi-core processor with a main focus on its impact on the leakage power and fan power. Although the leakage power is determined by the average die temperature and the fan power