Interval process is a preferable model for time-varying uncertainty propagation of dynamic systems when only the range uncertainties can be obtained. However, nonlinear systems, except Monte Carlo (MC) simulation, there are still few efficient methods under interval model. This paper develops non-intrusive and semi-analytical method, named “convex linearization method (CMLM),” by constructing f...

Two novel mathematical models based on polynomial function (PF) and boundary condition method (BCM) are presented for determination of shear stress in interface in steady state creep in short fiber composites under axial loading. Important novelty of this research is determination of shear stress in interface without using of shear lag and imaginary fiber technique (IFT) theories. In these appr...

In this paper we improve the quasilinearization method by barycentric Lagrange interpolation because of its numerical stability and computation speed to achieve a stable semi analytical solution. Then we applied the improved method for solving the Fin problem which is a nonlinear equation that occurs in the heat transferring. In the quasilinearization approach the nonlinear differential equatio...

Strong convergence results on tamed Euler schemes, which approximate stochastic differential equations with superlinearly growing drift coefficients that are locally one-sided Lipschitz continuous, are presented in this article. The diffusion coefficients are assumed to be locally Lipschitz continuous and have at most linear growth. Furthermore, the classical rate of convergence, i.e. one–half,...

In typical Lamb wave simulation practices, effects of plate edge reflections are often not considered in order to simplify the wave signal interpretations. Methods that are based on infinite plates such as the semi-analytical finite element method is effective in simulating Lamb waves as it excludes the effect of plate edges. However, the inclusion of plate edges in a finite plate could render ...

In this paper, a reproducing kernel with polynomial form is used for finding analytical and approximate solutions of a second-order hyperbolic equation with linear initial-boundary conditions. The analytical solution is represented as a series in the reproducing kernel space, and the approximate solution is obtained as an n-term summation. Error estimates are proved to converge to zero in the s...

This paper is the second in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. The method is set within a normed algebra N of functionals of the fields. In this paper, we develop a general method—localisation—to approximate an element of N by a local polynomial in the fields. From the point o...