This paper is concerned with finding numerical solutions of a flow of ODE solutions. It describes a new method, based on Euler Backward method and interpolation, for finding solutions of autonomous problems. The special aspect is that this method is explicit, and resolves the flow with similar accuracy as Euler Backward method, even when the problem is stiff. An analysis is given of both stabil...

An exponentially fitted second derivative extended backward differentiation formula (SDEBDF) is derived from the class of composite, multiderivative linear multistep method with a free parameter to allow for the exponential fitting. Some numerical properties such as stability of the methods are investigated as a pair of predictor-corrector (P-C) technique based on a proposed algorithm, to which...

In this paper, the meshless integral method based on the regularized boundary integral equation [1] has been extended to analyze the large deformation of elastoplastic materials. The updated Lagrangian governing integral equation is obtained from the weak form of elastoplasticity based on Green-Naghdi’s theory over a local sub-domain, and the moving least-squares approximation is used for meshl...

Instanton and anti-instanton configurations used in evaluating the baryon and lepton number violation process in the standard model are investigated. Although not solutions of the field equations, such configurations play a crucial role in evaluating the relevant amplitudes. The streamline method, which has been employed for this purpose, is examined. A new method that has better features than ...

A popular version of the finite strain Maxwell fluid is considered, which is based on the multiplicative decomposition of the deformation gradient tensor. The model combines Newtonian viscosity with hyperelasticity of Mooney-Rivlin type; it is a special case of the viscoplasticty model proposed by Simo and Miehe (1992). A simple, efficient and robust implicit time stepping procedure is suggeste...

This paper proposes a fast method of calculating high-order backward Linear Prediction (LP) coefficients for wideband Code Excited LP (CELP) coders operating at around 16 kbit/s. The fast calculation is achieved by a recursive calculation for the high-order autocorrelation of the decoded signal. The recursive calculation can be employed thanks to a novel method of converting the autocorrelation...

Given the set of square matrices M ⊂ Mn+m(C) that keep the subspace W = Cnx{0} ⊂ C invariant, we obtain the implicit form of a miniversal deformation of a matrix a ∈ M, and we compute it explicitely when this matrix is marked (this is, if there is a permutation matrix p ∈ Mn+m(C) such that p−1ap is a Jordan matrix). We derive some applications to tackle the classical Carlson problem.