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    ABSTRACT: The purpose of this paper is to design and describe the valuation of Asian option by radial basis function approximation. A one state variable partial differential equation which characterizes the price of European type Asian option is discussed. The governing equation is discretized by the θ-method and the option price is approximated by radial basis function based finite difference method. Numerical experiments are performed with European option and Asian option and results are compared with theoretical and numerical results available in the literature. We show numerically that the scheme is second order accurate. Stability of the scheme is also discussed.
    Engineering Analysis with Boundary Elements 01/2015; 50:1–7. DOI:10.1016/j.enganabound.2014.07.003
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    ABSTRACT: A novel method of joint source separation and dereverberation that minimizes the divergence between the observed and true spectral subband envelopes is discussed in this paper. This divergence minimization is carried out within the non-negative matrix factorization (NMF) framework by imposing certain non-negative constraints on the subband envelopes. Additionally, the joint source separation and dereverberation framework described herein utilizes the spectral subband envelope obtained from group delay spectral magnitude (GDSM). In order to obtain the spectral subband envelope from the GDSM, the equivalence of the magnitude and the group delay spectrum via the weighted cepstrum is used. Since the subband envelope of the group delay spectral magnitude is robust and has a high spectral resolution, less error is noted in the NMF decomposition. Late reverberation components present in the separated signals are then removed using a modified spectral subtraction technique. The quality of separated and dereverberated speech signal is evaluated using several objective and subjective criteria. Experiments on distant speech recognition are then conducted at various direct-to-reverberant ratios (DRR) on the GRID corpus. Experimental results indicate significant improvements over existing methods in the literature.
    Signal Processing 01/2015; 106:266–281. DOI:10.1016/j.sigpro.2014.08.009
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    ABSTRACT: Fracture toughness of brittle amorphous polymers (e.g. PMMA) has been reported to decrease with loading rate at low rates and increase abruptly to close to 5 times its static value at very high loading rates. Dynamic fracture toughness that is much higher than the static values has attractive technological possibilities. However, the reasons for the sharp increase remain unclear. Motivated by these observations, the present work focuses on the dynamic fracture behavior of Polycarbonate (PC), which is also an amorphous polymer but unlike PMMA, is ductile at room temperature. The objective of this paper is to investigate if PC also shows a behavior similar to PMMA, with a view to understanding the mechanics of the increase. Towards this end, a combined experimental and numerical technique is adopted. Dynamic fracture experiments at varying loading rates are conducted on single edge notched (SEN) specimens using Hopkinson bar with ultra high speed imaging (> 105 fps) to observe dynamic processes during fracture. Concurrently, 3D dynamic finite element simulations are performed using a well calibrated material model for amorphous polymers. Based on the experimental observation and numerical studies, mechanics behind dynamic fracture in PC is explained in detail. It has been concluded that the final fracture toughness remain invariant with loading rate. However, the void initiation toughness is higher in dynamic loading compared to that in static, due to rapid expansion of void leading to radial crazes emanating from it. With further studies on void dynamics, a mean stress based criterion for void initiation and then plastic strain based criterion for final fracture of PC is also established.
    Journal of the Mechanics and Physics of Solids 01/2015; 77. DOI:10.1016/j.jmps.2015.01.003


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    Kalyanpur, Grand Trunk Road, 208016, Kanpur, Uttar Pradesh, India
  • Head of Institution
    Prof. Indranil Manna
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Top publications last week by reads

Chemical Reviews 09/2012; 112(11). DOI:10.1021/cr3000412
444 Reads
Progress in Energy and Combustion Science 06/2007; 33(3):233-271. DOI:10.1016/j.pecs.2006.08.003
100 Reads

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