A solution technique for unsteady transonic small perturbations is presented which is based on semi-discrete finite element concepts constructed in time with linear interpolation. A shock searching finite-difference scheme is used in the assembled element equations. The mixed method (finite...

With the evolution of computers toward ever increasing computing speed, the numerical algorithms implemented on such computers are more and more complex, and require a very great number of computations. The numerical errors inherent in floating-point arithmetic of the computer generate errors in...

A high precision generator of Gaussian distributed pseudorandom numbers has been developed and tested. The generator is designed so that to be suitable for use with computers in simulation applications. Experimental results are given which verify the theoretically predicted performance. The...

In the hybrid computer solution of a parabolic differential equation the equation may be approximated by a set of coupled ordinary differential equations, one equation for each spatial station. The set is integrated by the analog computer one equation (or one group of equations) at a time in a...

First-order hyperbolic partial differential equations are difficult to solve numerically because of their ability to transmit steep waves. It is well known that the method of characteristics is the natural method for such equations, as it precisely follows wave interactions. However, a...

The focus of this paper is the development of a probabilistic steady-state (long-term) characterization of the market allocation process under stochastic variation in prices of delivered products. The generic method has been developed with a view toward incorporation of the methodology within...

This paper introduces the Preconditioned Simultaneous Displacement iterative method (PSD method) in a new “computable” form for the numerical solution of linear systems of the form Au=b, where the matrix A is large and sparse. The convergence properties of the method are analysed under...

La mise en oeuvre sur ordinateur d'une méthode d'intégration numérique conduit nécessairement à un résultat entaché d'une erreur dépendant à la fois de la formule d'approximation choisie et de l'arithmétique à précision limitée de la machine [2,3,5,6,7].

The present paper tries to determine the spatial structure and the time behaviour of cell renewal systems. For this purpose a computer model for the two-dimensional cell space was developed, which is described by a set of specifications and growth statements. Regarding the development of this...