Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold
particular importance in recent advances in subjects such as orthogonal polynomials …

The following sections are included: Advances in Mathematical Modelling Dynamics of
Dilute Polymer Solutions The Rouse model Dumbbell models Closure Approximations …

In this paper we apply the recently developed mimetic discretization method to the mixed
formulation of the Stokes problem in terms of vorticity, velocity and pressure. The mimetic …

Least-squares spectral element methods seem very promising since they combine the
generality of finite element methods with the accuracy of the spectral methods and also the …

Least-squares spectral element methods are based on two important and successful
numerical methods: spectral/hp element methods and least-squares finite element methods …

This paper presents the development of spectral element methods to simulate unsteady
flows of viscoelastic fluids using a closed-form differential constitutive equation. The …

A least-squares spectral collocation formulation for the Navier–Stokes problem is presented.
By this new approach the well known Babušska–Brezzi condition can be avoided. Here we …

A new stabilised spectral element method has been developed by the authors for the
accurate integration of the mixed elliptic–hyperbolic system of partial differential equations …

Spectral element methods are developed for simulating viscoelastic flows based on a micro–
macro modelling approach in which the polymer dynamics is described by the evolution of …

A least-squares spectral collocation method for the one-dimensional inviscid Burgers
equation is proposed. This model problem shows the stability and high accuracy of these …