Showing papers in "Applied Mathematics and Computation in 1985"

TL;DR: The relationship among different versions of DWT and their relation with the discrete Fourier transform (DFT) are given and Convolution theorems represented by different version of the DWT are derived.

TL;DR: The general class of linear, dynamic models, as applied to the characterisation of flow and dispersion behavior in rivers, are considered, and it is shown how these can be unified within the context of recursive time-series analysis and estimation.

TL;DR: This work examines the use of a regionalized sensitivity analysis procedure to select appropriate values for parameters in cases where only sparse, imprecise data are available, and demonstrates that models can be ''tentatively calibrated'' using this procedure.

TL;DR: In this article, a method for estimating the hydraulic parameters of groundwater flow models under steady and non-steady state conditions is presented, where the estimation problem is posed in the framework of maximum likelihood theory by means of a log-likelihood criterion that includes prior estimates of the parameters.

TL;DR: This paper offers an approach for dealing with prediction of the outcome of World Chess Championship matches based on players experience and attitude towards the game and a method for predicting the overall outcome is advanced and illustrated.

TL;DR: In this paper, an alternate approach to the method of asymptotic expansions for the study of a singularly perturbed, linear system with multiparameters and multi-time scales is developed.

TL;DR: In this article, a multicriterion decision-making (MCDM) technique with possibly non-numerical criteria, called Multicriteria Q-Analysis I (MCQA-I), developed earlier on the basis of only a concordance analysis, is extended to include a measure of discordance.

TL;DR: In this article, a method for discretizing Lagrange equations is proposed, and the solution of the system obtained this way can verify the energy integral exactly in the conservative case.

TL;DR: In this paper, a FORTRAN subroutine for computing derivatives of interpolating polynomials is presented, whose relative errors are theoretically bounded by machine precision, and whose computed values are remarkably free from roundoff amplification.

TL;DR: In this article, the authors examined how a number of sensitivity techniques may be adapted to deal with the analysis of real experiments and derived simple expressions (containing the experimental elementary sensitivities) for the degree of parameter deviation arising from uncertainties in and discrepancies between model and measured observables.

TL;DR: Maximum-likelihood procedures are used in a two-step algorithm to identify parameters of a large conceptual hydrologic model to identify the periods of dominating groundwater flow and the parameters corresponding to the model components responsible for that response.

TL;DR: In this article, the authors present results for the analysis of time-series observations of sediment resuspension characteristics in Lake Balaton, Hungary, and of nutrient loadings in the principal tributary of this lake, the River Zala.

TL;DR: An algorithm for the numerical approximation of the reversible Randles-Sevcik function has been developed that makes use of a piecewise nonlinear approximation that can be employed on a digital computer using FORTRAN.

TL;DR: In this paper, a decomposition of a large-scale stochastic functional differential system into a family of isolated subsystems is made, and a set of criteria are obtained under which the uniform asymptotic stability with probability one of the trivial solution process of the large scale system is preserved.

TL;DR: The partitioned state-parameter (PSP) algorithm is found to produce good forecasts and parameter estimates and is much faster than the extended Kalman filter.

TL;DR: In this paper, the first step in parameter estimation is to reduce the dimensionality of the problem by deriving estimates from independent experimentation and from the literature, and the remaining lower-dimensional problem, parameter-space delimitation is possible by analytical means.

TL;DR: In this article, the authors compare the performance of two types of probabilistes, namely, the probabiliste and the previsionniste, in terms of the degree d'incertitude of the variables.

TL;DR: In this article, the attitude stabilization problem for a spinning satellite controlled by two small jets is modelled as a four-dimensional, nonlinear control system, linear in the controls, and the recent feedback linearization theorem of Hunt and Su is applied to transform this system, via state feedback and a local coordinate change, to a pair of uncoupled, two-dimensional linear systems.

TL;DR: In this article, the method of chasing developed by Gel'fand and Lokutsiyevskii is completely formulated for nth order ordinary linear differential equations subject to separated multipoint boundary conditions.

TL;DR: Four algorithms for optimal observation network design are compared and it is shown that the suboptimal solutions are either optimal or very close to optimal; consequently on the basis of the simulated examples, the heuristic algorithms are highly recommended for practical applications.

TL;DR: In this article, a simple method for the construction of polynomial whose zeros coincide with the zeros of an analytic function inside and along a simple closed contour in the complex plane, based on an appropriate application of the Cauchy theorem in complex analysis, is proposed.

TL;DR: In this paper, a simple stochastic dynamic-programming model of grazing has been developed for the derivation of optimal stocking policies for arid areas, and the use of simulation experiments specifically designed for this purpose is seen as a solution.

TL;DR: On considere un systeme d'attente compose de N canaux paralleles a serveur unique pour affecter les consommateurs qui arrivent a des canaux selon une fonction des longueurs de files qui minimise le cout actualise anticipe total.

TL;DR: In this paper, the authors consider a standard finite-difference system associated with the two-point boundary-value problem and determine the exact rates of convergence for the ''two-grid'' scheme and upper bounds for the multigrid schemes.

TL;DR: In this paper, several statistical procedures for testing the suitability of models as a predictive device are discussed, and a new algorithm for calculating process variance is reported and compared with previously reported algorithms.

TL;DR: In this paper, the Laplace transforms of first passage densities to different situations of overflow or emptiness are obtained by applying imbedding methods for different types of densities conceptualized in novel ways.

TL;DR: Several recent papers have discussed the convergence of the multigrid V-cycle, and there are several results for the symmetric case: where the numbers of smoothings before the fine-to-coarse transfer and after the coarse- to-fine transfer are the same.

TL;DR: In this article, the authors studied the structure of the solution set for the periodic boundary value problem for first order differential equations and gave conditions under which a solution set is compact, connected, or acyclic.

TL;DR: An algorithm for solving optimal control problems that consists of an integrator and a minimizer; the latter is an exact penalty function used to solve constrained nonlinear programming problems.