We consider the matrix-valued radiative transfer equations for the Stokes parameters for the propagation of light through turbulent atmospheres. A Monte Carlo method is introduced to solve the time dependent matrix-valued radiative transfer equations in 3D geometry. TheMonte Carlo method is based on a probabilistic representation of the radiative transfer equations involving an augmented scalar...

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An improved transfer matrix method for multi-rigid-body systems is presented based on the structural characteristics of the manipulator and the relations between motion transfer and force transfer. Thus, a new model applicable to serial robots is obtained by using of discrete time transfer matrix method. Based on the improved method, a unified model for a manipulator with n DOF is derived. This...

A new boundary-integral formulation is proposed to analyze the heat transfer in zoned three-dimensional geometries. The proposed formulation couples the boundary formula, the gradient of the boundary formula, and the exterior formula. An advantage of this formulation over the traditional methods is that any linear condition at the interface between subdomains may be incorporated into the formul...

In this paper, exact solution for two-plane transverse vibration analysis of axial-loaded multi-step Timoshenko rotor carrying concentrated masses is presented. Each attached element is considered to have both translational and rotational inertia. Forward and backward frequencies and corresponding modes are obtained using transfer matrix method (TMM). The effect of the angular velocity of spin,...

Bu çalışmada tek boyutlu zemin büyütme analizlerinde kullanılan Transfer fonksiyonlarının elde edilmesi için bir yöntem önerilmiştir. Çalışma kapsamında daha önce literatürde hâkim periyodunun bulunması Değiştirilmiş Sonlu Elemanlar Taşıma Matrisi (DSETM) yöntemi transfer problemine uyarlanmıştır. Klasik sonlu elamanlar yönteminde eleman sayısına bağlı olarak artan sistem matrisi DSETM sayısınd...

This paper proposes a new method for computing stable rational doubly coprime factorizations from a given transfer matrix. In contrast to the well-known method which requires a state space representation, the proposed method makes full use of polynomial matrices, and the whole operation is carried out directly in the frequency domain. Furthermore, the paper clarifies the meaning of the obtained...

The chromatic polynomials of certain families of graphs can be calculai ed by a transfer matrix method. The transfer matrix commutes with an action of the symmetric group on the colours. Using représentation theory, it is shown that the matrix is équivalent to a block-diagonal matrix. The multiplicities and the sizes of the blocks are obtained. Using a repeated inclusion-exclusion argument the ...