Solitary waves in a one-dimensional chain of atoms {qj}j∈Z are investigated. The potential energy is required to be monotone and grow super-quadratically. The existence of solitary waves with a prescribed asymptotic strain is shown under certain assumptions on the asymptotic strain and the wave speed. It is demonstrated the invariance of the equations allows one to transform a system with non-c...

Using standard Floating-Point (FP) formats for computation leads to significant hardware overhead since these are over-designed error-resilient workloads such as iterative algorithms. Hence, FP Unit (FPU) architectures need run-time variable precision capabilities. In this work, we propose a new method and an FPU architecture that enable designers dynamically tune computations’ automatically at...

Abstract Surplus availability of rice straw (RS) presents it as a potential feedstock for ethanol production. Steam explosion (SE) is considered green approach to extract fermentable sugars at lower cost. The present study deals with the reaction condition optimization water and dilute acid assisted steam different temperatures explores effect structural properties solid residue on enzymatic hy...

For the spatially-distributed Fermi–Pasta–Ulam (FPU) equation, irregular solutions are studied that contain components rapidly oscillating in spatial variable, with different asymptotically large modes. The main result of this paper is construction families special nonlinear systems Schrödinger type—quasinormal forms—whose nonlocal dynamics determines local behavior to original problem, as t→∞....

By combining results of Mizumachi on the stability of solitons for the Toda lattice with a simple rescaling and a careful control of the KdV limit we give a simple proof that small amplitude, long-wavelength solitary waves in the Fermi-Pasta-Ulam (FPU) model are linearly stable and hence by the results of Friesecke and Pego that they are also nonlinearly, asymptotically stable.

Simultaneous saccharification and fermentation (SSF) of alkaline hydrogen peroxide pretreated Antigonum leptopus (Linn) leaves to ethanol was optimized using cellulase from Trichoderma reesei QM-9414 (Celluclast from Novo) and Saccharomyces cerevisiae NRRL-Y-132 cells. Response surface methodology (RSM) and a three-level four-variable design were employed to evaluate the effects of SSF process ...

A platform architecture for real time audio applications based on the open source LEON RISC processor and an audio development board based on an FPGA implementation of this platform are presented. Emphasis is on audiospecific extensions of the LEON architecture. In particular, a Floating Point Unit (FPU) for the LEON CPU and a multi-standard audio interface block were implemented. Innovative as...

We consider the mechanism of formation of isolated localized wave structures in the diatomic Fermi-Pasta-Ulam (FPU) model. Using a singular multiscale asymptotic analysis in the limit of high mass mismatch between the alternating elements, we obtain the typical slow-fast time scale separation and formulate the Fredholm orthogonality condition approximating a sequence of mass ratios supporting t...