Designing models and schemes for compressible multi-fluid flow is often considered as challenging when dealing with contrasted equations of state, low volume fractions, or high compression expansion ratios. This due to the potentially severe stiffness pressure couplings, aggravated by (i) their quadratic multiplicity they connect all energy reservoirs (ii) entropy conditions be preserved on eac...

We generalize the notion of an Euler tour in a graph in the following way. An Euler family in a hypergraph is a family of closed walks that jointly traverse each edge of the hypergraph exactly once. An Euler tour thus corresponds to an Euler family with a single component. We provide necessary and sufficient conditions for the existence of an Euler family in an arbitrary hypergraph, and in part...

The Euler math fonts are suitable for math typesetting in conjunction with a variety of popular text fonts which do not provide math character sets of their own. Euler-VM is a set of virtual fonts based on Euler and Computer Modern, accompanied by a macro package for easy use with LATEX. 302 TUGboat, Volume 23 (2002), No. 3/4 The Euler math fonts “With Donald Knuth’s assistance and encouragemen...

we present here the numerical solution of damped forced oscillator problem using haar wavelet and compare the numerical results obtained with some well-known numerical methods such as runge-kutta fourth order classical and taylor series methods. numerical results show that the present haar wavelet method gives more accurate approximations than above said numerical methods.

A sliding mode control method is presented for Euler parameter command tracking of spacecraft maneuvers. Although only three Euler parameters are independent, desired closed-loop performance is specified on all four Euler parameters by way of four sliding surfaces in the Euler parameter error-error rate phase planes. The Euler parameters were chosen as the generalized coordinates for tracking t...

This paper presents a new signal-processing technique motivated by the physiology of human auditory system. In this approach, auditory hair cells are modeled as damped oscillators that are stimulated by bandlimited time domain speech signals acting as forcing functions. Oscillation synchrony is induced by time aligning and three-way coupling of the forcing functions across the individual bands ...

We consider well-posed linear infinite-dimensional systems, the outputs of which are sampled in a generalized sense using a suitable weighting function. Under certain natural assumptions on the system, the weighting function, and the sampling period, we show that there exists a generalized hold function such that unity sampled-data feedback renders the closed-loop system exponentially stable (i...

The main purpose of this paper is to present new q-extensions of Apostol’s type Euler polynomials using the fermionic p-adic integral on Zp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We define qextensions of Apostol type’s Euler polynomials of higher order using the multivariate fermionic p-adic integral ...