The standard discrete-time Galerkin method for a linear second order hyperbolic problem is considered. Exploiting technique of [1], L∞(H0)-error estimates of optimal order are achieved with weaker assumptions on the smoothness of the solution.

The identification of spatially varying parameters for a partial differential equation describing the thermal behaviour of an experimental extruder will be presented. The state equation of the model is given in a discrete functional framework and the identification problem will be considered in...

Split-simulation is a technique to perform simulations of models with discrete choices. This technique is based on “intelligent” objects which penetrate and investigate the alternatives of the model. The advantages are better precision, reduced variance and much shorter execution times than...

Pulp and paper mill processes have certain typical features in common with other simulation objects. However, computer simulation can serve as a useful tool in the design and construction of process units and the entire mill, as well as comparison of various production and control strategies of...

An a priori L∞ error estimate is established for the control approximation generated by using the Ritz-Trefftz method on the state regulator problem. The approximations are taken from spaces of quasiuniform peicewise-polynomials. The estimates are the best possible in the sense that the order...

Until the recent advent of extended covariance analysis utilizing quasi-linearization techniques, the only approach for assessing the performance of a nonlinear system with random inputs and initial conditions has been the monte carlo method. This method involves direct simulation, i.e.,...

A method for the numerical solution of the Hilbert transform integral to obtain the phase corresponding to a given amplitude spectrum is presented. The method, which is based on the assumption that the amplitude spectrum at high and low frequencies can be approximated by constant slopes, can be...

In this paper, the authors extend the application of the extrapolated alternating direction implicit (E.A.D.I.) methods (Hadjidimos, 1970) to obtain the numerical solution of elliptic partial differential equations for regions involving circular symmetry.

The paper presents a method for calculating the three-dimensional flow-fields in reciprocating internal combustion engines, as a function of space and time, throughout the complete four-stroke cycle. The method is based on a computational procedure which solves the governing elliptic...