Showing papers in "Applied Mathematics and Computation in 1984"

TL;DR: In this paper, a sufficient condition for the existence of solutions to complementarity problems, which is applicable to all continuous functions, was developed and applied to an existence problem in spatial price equilibrium, where it was shown to yield not only a more general result but also a simpler method of proof.

TL;DR: In this paper, the authors demonstrate the practical merit of differential dynamic programming by reporting computational solutions to problems having as many as forty control variables and no particularly convenient structure, and give a more algorithmically oriented presentation of the method than hitherto available, extending the basic method to the nonconvex case, and giving a proof of global convergence.

TL;DR: In this article, the problem of selecting the appropriate multiobjective solution technique to solve an arbitrary multi-objective decision problem is considered, and a set of 28 model choice criteria and an algorithm for model choice are presented.

TL;DR: The matrix Laguerre transform (MLT) as mentioned in this paper is an extension of the scalar MLT for matrix convolutions and other algebraic operations in matrix form, and it is suitable for the study of semi-Markov processes and Markov renewal processes.

TL;DR: In this article, four iterative algorithms (two of them new) for the evaluation of complex (Hopf) bifurcation points in ordinary differential equations are compared and a comparison of effectiveness of the proposed algorithms is made for two examples taken from chemical reaction engineering.

TL;DR: In this paper, a set of necessary and sufficient conditions for the representability of choice probabilities by additive random utility models with generalized extreme value (GEV) distributions of utilities is established. But this characterization does not reveal the underlying behavioral features of GEV models.

TL;DR: In this article, a finite element scheme and a difference scheme for the radial solution of a nonlinear Klein-Gordon equation were studied for finite element and difference schemes for the nonlinear version of the problem.

TL;DR: In this paper, a simple and heuristic method strongly based on the experience of the manager is proposed and tested on the case of Lake Como (northern Italy) in order to evaluate the surplus of benefit due to the information available in real time in addition to reservoir storage.

TL;DR: In this paper, constructive existence and uniqueness theorems are established for nonlinear two-point boundary value problems governed by the equation y''=f(x, y)+p(x)y', 0=

TL;DR: The multigrid algorithm was applied to solve the coupled set of elliptic quasilinear partial differential equations associated with three-dimensional coordinate generation, and the results indicate that theMultigrid scheme is more than twice as fast as conventional relaxation schemes on moderate-size grids.

TL;DR: In this paper, a collocation finite element procedure using the Hermite basis functions is proposed, which gives a physical interpretation to all the nodal values, and three classical problems from boundary layer theory are solved numerically.

TL;DR: B as discussed by the authors is a portable bifurcation and stability analysis package written in FORTRAN V and can follow the connected set of equilibrium curves for a system of nonlinear ordinary differential equations in the state x parameter space.

TL;DR: In this article, the distribution of the storage and of the outflow of a reservoir with a piecewise linear constant operating rule and Gaussian white-noise input is derived by analytically solving the Fokker-Planck equation.

TL;DR: In this article, the authors studied the periodic boundary value problem for first order differential equations by combining techniques of the theory of differential inequalities, namely the method of upper and lower solutions, and the alternative method for nonlinear problems at resonance.

TL;DR: In this article, a method for the numerical solution of singular integrodifferential equations is presented where the integrals are discretized by using a convenient quadrature rule and then the problem is reduced to a system of linear algebraic equations by applying the discretised functional equation to appropriately selected collocation points.

TL;DR: In this article, a dynamic model framework is outlined in which demand and supply are not assumed to match instantaneously, allowing for a wide range of transaction processes and price mechanisms with accompanying externalities and spillovers.

TL;DR: In this paper, closed-form solutions to Riccati equations have been obtained for both second-order and third-order matrices, corresponding to the application to the target of a white noise or a Poisson-type stochastic force.

TL;DR: In the context of estimating a covariance matrix, the problem of undersized samples occurs when the number of sample observations is less than the total number of variables as discussed by the authors, i.e., when the maximum entropy distribution of the covariance matrices is not large enough to cover all the variables.

TL;DR: In this paper, the statistical descriptors and characteristics of the Type I asymptotic distribution of extreme values for different underlying, or initial, distributions and different values of sample size, or number of observations are described.

TL;DR: The purpose of this paper is to present a brief survey of fast direct methods for solving elliptic boundary-value problems based on Fourier analysis, block reduction techniques, and marching algorithms.

TL;DR: A Bayesian methodology is presented to aid geotechnical engineers and/or dam owners in developing such programs as to take account of uncertainty, risk preference, and economic losses.

TL;DR: A combined transportation-land-use model capable of exploring structural urban changes is presented, which will be used to explore the possible effects of changing circumstances and tastes on urban structure and organization.

TL;DR: In this paper, an automatic method for obtaining the numerical solution for the simplest problem in the calculus of variations is described, where the nonlinear two-point boundary-value Euler-Lagrange equation is solved using the Newton-Raphson method, and derivatives required for the solution of the problem are computed automatically using the table method.

TL;DR: In this paper, the first decimal digits of the powers of 2 are shown to appear in one of five strings, and the associated state transition graphs are also displayed, and it is found that the process of generating strings follows a non-Markovian process but is ergodic.

TL;DR: A review of the mathematical procedures available for nonlinear processes is given, and these system-theoretic results are applied in a variety of natural-resource management settings.

TL;DR: In this paper, a nonlinear dynamical model of urban and regional economic growth in labor and capital stock is presented which draws from the literature of mathematical ecology, and points of bifurcating behavior in urban structure are obtained.

TL;DR: In this article, a Galerkin type algorithm is given for the numerical solution of L(x)=(r(t)x'(t))'-p(t),x(t)=g(t); x(a))=x"a, x'(a)=x'"a, where r (t)>f0, and Spline hat functions form the approximating basis.

TL;DR: In this paper, a numerical method to solve boundary-value problems posed on infinite intervals is given by reducing the infinite interval to a finite interval which is large, and impossing appropriate asymptotic boundary conditions at the far end.