Showing papers in "Applied Mathematics and Computation in 1994"

TL;DR: The problem of arbitrary trial-and-error selection of the learning and momentum ratios encountered in the momentum backpropagation algorithm is circumvented and the step length in the inexact line search is adapted during the learning process through a mathematical approach.

TL;DR: In this article, a uniqueness result for the boundary blow-up problem with nonlinearities was proved. But the uniqueness result is not applicable to the boundary Blow-Up problem with open balls.

TL;DR: In this article, the existence of a solution is established by using Weyl technique, which is a Weyl-based method for solving the differential equation of mixing layer, and a solution of the mixing layer is presented.

TL;DR: In this paper, the authors investigate a situation where qualification values are to be attributed to n persons, based on a matrix A of cross-ratings and a so-called calibration function describing the dependence between qualification and competence of judging.

TL;DR: In this paper, a system in which a paradox is deduced by taking the finite velocity of observation propagation is defined, and the whole formal description, which consists of the system and a proof sequence, toward the paradox, is regarded as an evolutionary system.

TL;DR: In this article, the leading models of single-phase fluid flow through porous media are reviewed and boundary conditions associated with these models are discussed and entry conditions to a porous channel that are compatible with the different flow models when the flow is fully developed are derived.

TL;DR: In this article, the authors considered the difference equation x n = a + ∑ k = 1 m b k x n −k, n = 0, 1, 2, m, where a and bk are nonnegative numbers with B ≡ ∑mk = 1bk > 0, and were interested in whether all positive solutions are attracted by the positive equilibrium.

TL;DR: In this paper, conservative schemes in finite differences applied to nonlinear ODEs and nonlinear Klein-Gordon, Schrodinger, and Dirac Field equations are presented, and an explicit derivation of the corresponding conservation laws is given.

TL;DR: In this paper, it was shown that the existence of a proper Liapunov function implies the boundedness and ultimate boundedness of solutions of the problem in the Banach space.

TL;DR: In this paper, the oscillation criteria for the second order difference equations of the form Δ2xn + qnf(xn-r) = 0 and the neutral difference equation Δ2(x n + pxn − δk) + Qnf (xn - r)= 0 are established.

TL;DR: In this article, a monotone method for the first-order Caratheodory problem with nonlinear boundary conditions was proposed. But the authors only considered the case where the boundary conditions were linear and the lower and upper solutions were nonlinear.

TL;DR: A visual “free search” type of interactive procedure for multiple objective linear programming, which accounts for imprecision in the model by use of fuzziness, appears to lead to compromise policies acceptable to the decision-maker.

TL;DR: In this paper, it was shown that incompleteness is a rather common phenomenon: with respect to any reasonable topology the set of true and unprovable statements of such a theory is dense and in many cases even corare.

TL;DR: In this paper, a time accurate, three-dimensional, finite volume, implicit scheme has been proposed for the calculations of flows with a free surface on unsteady Eulerian grids, which uses a modified form of the artificial compressibility formulation.

TL;DR: In this paper, the existence of a global minimum point of a convex function under some smoothness conditions is proved under the assumption that the convex functions follow a solution curve with a computer.

TL;DR: In this article, a velocity-current formulation for the equations of stationary, incompressible magnetohydrodynamics under natural interface conditions for the magnetic field was derived and proved well-posed for small data by means of a variational principle.

TL;DR: In this article, the authors show how to couple a numerical method due to Atkinson for computing particular solutions to a class of elliptic differential equations with a variety of boundary element methods, which alleviates the problem of domain discretization for solving inhomogeneous equations.

TL;DR: In this paper, the authors provide sufficient conditions for the convergence of a Newton-like method to a locally unique solution of a nonlinear equation with a nondifferentiable term in a Banach space setting.

TL;DR: In this article, the numerical solution of two-dimensional linear Volterra integral equation by collocation and iterated collocation is considered and the asymptotic error expansion is obtained.

TL;DR: The paper surveys special cases of the traveling salesman problem and contains a table of subclasses of the most general special cases, which include polynomial time recognition algorithms and relationships among special cases.

TL;DR: In this paper, some three-element closed classes of limit reliability functions for series-parallel and parallel-series systems with identical components are fixed, and an example of the considered systems and its limit reliability function is given.

TL;DR: In this paper, an alternative limit expression of the Drazin inverse of a square matrix is presented, and a new proof for a finite algorithm for determining the inverse is given using the new limit expression.

TL;DR: In this paper, the authors consider the question of existence and uniqueness of solutions to the equations of stationary, incompressible magnetohydrodynamics (MHD) when bouyancy effects due to temperature differences in the flow cannot be neglected.

TL;DR: In this paper, the Gauss hypergeometric function in K 4 of the Epstein-Hubbell generalized elliptic type integral was used to obtain the power expansion and a simple representation by means of Gaussian hypergeometry.

TL;DR: In this paper, the authors present a systematic account of the orthogonality of generalized Bessel polynomials that arise naturally in a number of seemingly diverse contexts and discuss the related expansion problem and various recent results involving generating functions.

TL;DR: In this article, the Laplace transform is applied to the non-dimensional equations of unsteady free convection boundary layer flow through a porous medium bounded by an infinite vertical plate, which is valid for one-dimensional problems with or without heat sources.

TL;DR: In this paper, an extension of a method for computing connecting orbits that locates such orbits in a systematic manner is presented, as an application they compute homoclinic orbits in the singular perturbation problem.

TL;DR: In this paper, the authors investigate the complex three-dimensional flowfield of an oxygen safety pressure relieve valve during an incident, with a computational fluid dynamic (CFD) analysis.

TL;DR: In this paper, the effect of half-wave rectification on amplitude-modulated sinusoids was investigated and a family of curves were derived to represent the change in the amplitude of each frequency in the output of the rectifier.