An algorithmic approach, based on the method of undetermined coefficients, for generating difference approximation to partial differential operators is presented here. The approach is based on inverting Vandermonde matrices of lower order. Consequently, the computational time required to obtain...

The stability of solutions of systems of algebraic equations on arithmetic machines by iterative or indirect methods and directly on analytic machines, is considered in this paper. The concept of an Explicit Operation Matrix is introduced which simplifies the analysis of stability of solutions....

Quasi-linear hyperbolic partial-differential equations of the second order are easily transformed into their characteristic form, and hybrid computer algorithms based on the Continuous Space Discrete Time method of lines, taking advantage of such transformations are conveniently implemented....

L'auteur étudie le comportement de noyaux magnétiques et différents modes de simulation de ceux-ci.

The paper describes a method which makes it possible to simulate a special partial differential equation of the first order on an analog computer without any approximations. The method usually requires little computer equipment, although a distance velocity lag simulator is necessary in most cases.

This paper describes an analog computer method for designing dead beat controllers for linear and nonlinear sampled data system.

In order of the Laboratory of Chemical Technology, a hybrid model of a fixed-bed heat-exchanger with axial conductivity has been constructed and implemented. Special care has been taken to avoid computational instability due to a parabolic part in the partial differential equatione. The time...

Monte Carlo methods utilizing a new network concept, Uniformly Directed Cutsets (UDCs), are presented for analyzing directed, acyclic networks with probabilistic arc durations. The procedures involve sampling arc values for arcs not on a UDC and utilizing known probability information for arcs...