Abstract— There are several works dedicated to the investigation of Volterra integro-differential equations. In addition, there are theoretical and practical representations of stable methods that have a high order of accuracy and extended stability regions; these representations were constructed using the minimum values of arithmetic operations. Here, hybrid methods are proposed for the constr...

In this study we examine how native language, sex, and college major interact to influence accuracy and preferred strategy when performing mental rotation (MR). Native monolingual Chinese and English speakers rotated 3-D shapes while maintaining a concurrent verbal or spatial memory load. For English speakers, male physical science majors were more accurate than social science majors and employ...

I investigated a method for facial expression recognition for a human speaker by using thermal image processing and a speech recognition system. In this study, we improved our speech recognition system to save thermal images at the three timing positions of just before speaking, and just when speaking the phonemes of the first and last vowels. With this method, intentional facial expressions of...

The triphone model is frequently used as an acoustic model. It is effective for modeling phonetic variations caused by coarticulation. However, it is known that acoustic features of phonemes are also affected by other factors such as speaking style and speaking speed. In this paper, a new acoustic model is proposed. All training data which have the same phoneme context are automatically cluster...

We prove that the ENO reconstruction and ENO interpolation procedures are stable in the sense that the jump of the reconstructed ENO point values at each cell interface has the same sign as the jump of the underlying cell averages across that interface. Moreover, we prove that the size of these jumps after reconstruction relative to the jump of the underlying cell averages is bounded. Similar s...

and Applied Analysis 3 exist and are bounded for a self-adjoint positive operator A. Here B 1 2 ( τA √ A 4 τ2A ) , K ( I 2τA 5 4 τA 2 )−1 . 2.2 Theorem 2.1. For any gk, 1 ≤ k ≤ N − 1, and fk,−N 1 ≤ k ≤ 0, the solution of problem 1.2 exists and the following formula holds: uk ( I − R2N )−1{[ R − R2N−k ] u0 [ RN−k − R k ][ Pu0 − τ 0 ∑ s −N 1 P N−1Gfs μ ] − [ RN−k − R k ] I τB 2I τB −1B−1 N−1 ∑ s ...

In this paper, we describe an approach for an animated speaking face synthesis and its application in modeling impostor/replay attack scenarios for face-voice based speaker verification systems. The speaking face reported here learns the spatiotemporal relationship between speech acoustics and MPEG4 compliant facial animation points. The influence of articulatory, perceptual, and prosodic acous...

The initial-value problem for hyperbolic equation d2u(t)/dt2 +A(t)u(t) = f (t) (0 ≤ t ≤ T), u(0) = φ,u(0) = ψ in a Hilbert space H with the self-adjoint positive definite operators A(t) is considered. The second order of accuracy difference scheme for the approximately solving this initial-value problem is presented. The stability estimates for the solution of this difference scheme are establi...