Showing papers in "Applied Mathematics and Computation in 1980"

TL;DR: In this paper, a new random-search global optimization method is described in which the variance of the step-size distribution is periodically optimized, by searching over a variance range of 8 to 10 decades, the algorithm finds the step size distribution that yields the best local improvement in the criterion function.

TL;DR: In this article, it is shown that modern quantum gravitation theory requires minimally the 16-dimensional space of the author's M-arithmetic (announced in Appl Math and Comput, 1976, p 211 f and 1978, p 45 f), which has 4320 units (including positive and negative) rather than the mere 2 units of ordinary or ''real'' arithmetic, the 4 units of complex arithmetic, and the 24 units of quaternion arithmetic, or the 240 units of octonion or octave arithmetic.

TL;DR: In this article, the applicability of moment methods to a class of nonlinear problems is discussed. But the authors focus on the estimation of the number of parameters and the elimination of the cutoff error in the analysis of fluorescence decay data.

TL;DR: In this article, Bayes estimates of failure intensity, MTBF, and reliability are compared for five classes of loss functions and numerical comparisons are made to show the widely different decisions that may be reached if different loss functions are used and to aid researchers in selecting a loss function to meet experimental objectives.

TL;DR: In this paper, some new discrete inequalities involving higher order differences have been obtained, and these inequalities can be used in the analysis of a class of summary difference equations as handy tools.

TL;DR: In this article, an extension of the Brown-Robinson equivalence theorem on the core and competitive allocations of a nonstandard exchange economy is presented, based on a result which shows that the core allocations of such an economy with "integrable" endowments are ''integrably" competitive.

TL;DR: In this article, a finite difference scheme for estimating parameters in linear differential-delay equations is investigated, and convergence results and rates of convergence are obtained for a simple explicit (Euler's) method.

TL;DR: A hybrid version of Haar transforms (HT) and Walsh-Hadamard transforms (WHT), called the Hadamard-Haar transform (HHT), has been developed, which effectively combines the advantages of both the transforms.

TL;DR: An attempt to develop a string searching algorithm that begins the search for a match in the middle of the strings being compared, using information gained from mismatches and the location of the search area in the large string to make decisions and direct the search.

TL;DR: In this article, the ridge estimator of the usual linear model is generalized by the introduction of an a priori vector r and an associated positive semidefinite matrix S, which is then justified by the minimization of the residual sum of squares subject to a constraint on the length, in the metric S, of the vector of differences between r and the estimated linear model coefficients.

TL;DR: In this article, the sensitivity of parameter estimates to observation noise or disturbances affects the accuracy of the parameter estimates in system identification, and it is shown that the (parameter estimate)/observation sensitivity tends to be lowered for optimal inputs.

TL;DR: In this paper, a new differential equation method for finding the Perron root of a positive matrix is given, which utilizes the initial value differential system developed in a companion paper for individually tracking the eigenvalue and corresponding right eigenvector of a parametrized matrix.

TL;DR: In this article, two n-dimensional non-uniform sampling theorems are proved, which possess additional freedom for constructing recovery functions for functions with band-limited Fourier transforms.

TL;DR: An algorithm for numerically solving the classic dual cosine equation is obtained from an emended version of a singular integral solution due to Noble and Whiteman, whose implementation in ANSI FORTRAN is appended.

TL;DR: The relation between the eigenvalue consistency index and cycles of length k in a complete directed graph is shown and a new index to measure this concept is derived.

TL;DR: In this paper, an existence theorem of Peano type for Sobolev differential equations is proved for the continuation of solutions, differential inequalities, and comparison of solutions of Soboleve differential equations.

TL;DR: In this paper, the Gaussian quadrature error in the numerical integration of an analytic [email protected]?(x) over the interval-1 is estimated, and the error is shown to be linear in the length of the interval.

TL;DR: This report presents two PEC methods: a fourth-order algorithm for which stability characteristics and numerical examples are presented, and a second- order algorithm which is just mentioned.

TL;DR: In this paper, a nonlinear ecological system model is formulated as a stochastic process, and simulation techniques are used to study both single realizations and the statistical parameters which govern the system.

TL;DR: In this article, the numerical solution of a mixed problem associated with a nonlinear partial differential equation describing the asymptotic behavior of nonlinear dispersive or dissipative one-dimensional waves is studied.

TL;DR: In this article, a method for incorporating symmetrical rationality without resorting to the general multistage game framework has been proposed, which appears to be especially well suited for C^3 problems with finite admissible control sets.

TL;DR: In this paper, the invariant embedding equations for nonlinear Fredholm integral equations are shown to provide solutions of the original integral equation under conditions that assure unique solutions of embeddings.

TL;DR: In this paper, the same authors gave some relationships between stability properties of general processes and the same properties of their limiting processes, and obtained results concern asymptotic stability and total stability.

TL;DR: In this paper, it is shown that a class of such integral equations has solutions that are identical to the solutions of a system of initial-valued integrodifferential equations, and the Cauchy system describes the sensitivity of the solutions to underlying parameters and provides an efficient technique for solving difficult team decision problems.

TL;DR: A new generation of C^3 (command, control, and communication) models for military cybernetics is developed for an amphibious campaign with linear time-varying dynamics.

TL;DR: In this paper, the decay parameter at which the similarity solution ceases to exist is computed by a more direct method, and the reason for the breakdown becomes apparent, which confirms and slightly improves the known value of the parameter.

TL;DR: In this article, a numerical scheme using the finite-difference approach to solve the modified Helmholtz partial differential equation derived from the solar radiative transfer equation is developed and tested along with the method of evaluating the slant-path optical depth.

TL;DR: In this paper, a numerical solution of the nonlinear integrodifferential difference equation which describes the complex nature of these oscillations is presented. But the present paper is devoted to the numerical solution only.

TL;DR: In this paper, asymptotic stability and instability of the stationary solution of the Lienard equation with unbounded dampings were established for non-autonomous differential systems.