We consider the finite element discretization of the system of partial differential equations describing the stress field and the displacements in a (visco)elastic inhomogeneous layered media in response to a surface load. The underlying physical phenomenon, which is modelled, is glacial advance and recession, and the resulting crustal stress state. We analyse the elastic case in more detail an...

The aim of this bibliography is to provide an introduction to papers and technical reports in the eld of delay diierential equations and related diierential equations. In addition to the title, authors and reference of an article, we provide the abstract which, if the article has previously appeared as a technical report, comes from the published paper unless indicated by a z. The main interest...

We consider an inverse heat conduction problem, the sideways heat equation, which is the model of a problem where one wants to determine the temperature on the surface of a body, using internal measurements. Mathematically it can be formulated as a Cauchy problem for the heat equation, where the data is given along the line x = 1, and a solution is sought in the interval 0 x < 1. The problem is...

Knowledge of cardiac electrophysiology is efficiently formulated in terms of mathematical models. However, most of these models are very complex and thus defeat direct mathematical reasoning founded on classical and analytical considerations. This is particularly so for the celebrated bidomain model that was developed almost 40 years ago for the concurrent analysis of extra- and intracellular e...

In this paper, a numerical procedure for solving fuzzy Fredholm integral equations of the second kind (FIEs) with arbitrary kernels have been investigated and residual minimization method is given and then the proposed algorithm is illustrated with solving some numerical examples.

We consider the quadratic eigenvalue problem (QEP) (λ2M + λG + K)x = 0, where M = MT is positive definite, K = KT is negative definite, and G = −GT . The eigenvalues of the QEP occur in quadruplets (λ, λ,−λ,−λ) or in real or purely imaginary pairs (λ,−λ). We show that all eigenvalues of the QEP can be found efficiently and with the correct symmetry, by finding a proper solvent X of the matrix e...

Numerical solution of PDEs is rich and active field of modern applied mathematics. The steady growth of the subject is stimulated by everincreasing demands from the natural sciences, engineering and economics to provide accurate and reliable approximations to mathematical models involving partial differential equations (PDEs) whose exact solutions are either too complicated to determine in clos...

This paper deals with the study of the transcendental equations: sin(j + v)/(s + v) = ±sin(i v)/(s v), where v = (s2 y2)'/2. These equations are obtained in the study of some boundary value problems for a modified biharmonic equation using the PapkovichFadle series. Some numerical solutions obtained with an iterative procedure are given. Introduction. It is well known that the governing equatio...

A fractional step method for the solution of steady and unsteady incompressible Navier-Stokes equations is outlined. The method is based on a finitevolume formulation and uses the pressure in the cell center and the mass fluxes across the faces of each cell as dependent variables. Implicit treatment of convective and viscous terms in the momentum equations enables the numerical stability restri...