Showing papers in "Mathematics and Computers in Simulation in 1977"

TL;DR: The mathematical models as they arise in various application disciplines are arranged along a spectrum according to the relative amount of deduction and induction involved in their construction, providing an insight into the ultimate validity of simulations and to what use they can properly be put.

TL;DR: This paper is a survey of direct parallel algorithms for solving systems of linear equations, and states their resulting speedup over the corresponding sequential algorithms, and evaluates their numerical stability, whenever possible.

TL;DR: It is shown that the use of correlated sequences reduces the adverse effects of pure randomness whilst retaining the property of zero correlation between sequences fundamental to the theory of stochastic computation.

TL;DR: In this paper, the performance of a Kalman-type filter in estimating the initial conditions and/or the parameters of a linear deterministic system from a single continuous measurement record is examined.

TL;DR: In this paper, the authors present an implicit method of high order accuracy which is unconditionally stable, thus allowing to progress much faster in time, while the presence of additional artificial boundary conditions does not have an influence on the accuracy of the solution but not on the stability of the method.

TL;DR: This part I of 2 parts paper investigates carefully a new programmable generator of general ordinary renewal processes in discrete time based on the concept of failure rate and its implementation is completely digital.

TL;DR: Kalman filtering is applied to the problem of System Identification by interchanging the roles of the state variables and the unknown parameters and the advantages and limitations of analogue computational methods are discussed.

TL;DR: Generation of random test signals and some other applications in the fields of reliability and queueing theory as well as in those of biomedical and nuclear engineering are briefly discussed.

TL;DR: The results confirm the feasibility of using the algorithms to identify the parameters of a class of industrial processes on-line using a minicomputer, based on rapid identification of slowly-varying parameters.

TL;DR: In this article, a Fourier approximation method was developed for the simple layer potential reformulation of Laplace's equation, and the efficacy of the method was demonstrated in computational examples, and also analyzed theoretically.

TL;DR: The model has given new insight into the physiological consequences of the Mustard operation and has yielded a reasonable hypothesis for explaining the clinical observations.

TL;DR: In this paper, the authors describe how to generate uniformly continuous functions of two variables without making any vertex, where all functions are obtained as an algebraic sum of linearly independent two-variable polynomials with each weight.

TL;DR: Parts of this simulator, which produces simulated telemetry data for the high speed image (radiometer) channel and the attitude part of the housekeeping channel, are described.

TL;DR: Two new techniques for improving accuracy in digital stochastic computing systems are presented and simple circuits based on a theory of negative correlation are shown to provide significant error reduction.

TL;DR: In this paper, the boundary layer flow of an atmospheric vortex was analyzed by utilizing a two-equation model of turbulence together with the conventional boundary layer equations, and steady-state solutions were obtained from the time-dependent solutions by using a predictor-corrector, multiple iteration method.

TL;DR: In this article, a method developed for the analog computer using minimization to find a quadratic factor of a polynomial is extended to include a deflation process, so that all the quad ratic factors can be determined simultaneously.

TL;DR: A lumped-mass model with complete soil-structure interaction (Model D) is recommended for best overall results provided a high speed digital computer and software is available.

TL;DR: The explicit finite difference algorithm is adapted for an 8-bit architecture most commonly available today and the algorithm is emulated on a minicomputer and the results presented.

TL;DR: A method for the on line design of a control system for multi input-multi output process, with requirements of optimality and classical figures of merit, results that the dynamical behaviour of the outputs can be easily modified even during the online control of the process.