Showing papers in "Applied Mathematics and Computation in 1992"

TL;DR: In this article, a hyperbolic grid generation scheme formulated from grid orthogonality and cell volume specification has been significantly enhanced so that high quality three-dimensional grids can be obtained for a wide variety of geometries.

TL;DR: In this article, the solvability and the approximation of the solutions by monotone iteration of the second-and third-order periodic boundary value problems (BVPs) were studied.

TL;DR: It is shown both analytically and by simulations that this network is guaranteed to be stable and to provide results arbitrarily close to the accurate inversion of a matrix within an elapsed time of only a few characteristic time constants of the network.

TL;DR: In this article, a class of boundary value problems for linear and nonlinear ordinary differential equations of higher order was studied and the solution set and maximum principle of the monotone method were obtained.

TL;DR: The Bezout number of a system of multi-homogeneous polynomial equations is the largest number of nonsingular solutions such a system can have, and it is also the number of solution paths used to compute all geometrically isolated solutions of the system using multihop continuation as discussed by the authors.

TL;DR: In this paper, the authors studied the continuation of the solution of the semilinear differential equation to the corresponding initial value problem when [@a]=k, k=1,2,3,... applications of singular integro-differential equations are considered.

TL;DR: A review of the literature of the study of structural vibration problems with random parameters is provided in this paper, where the algebraic theory of random variables is delineated with the application in mind being the determination or estimation of the statistics of the eigenvalues of linear dynamical systems.

TL;DR: In this article, an explicit, almost P-stable, two-step method with phase-lag of order infinity was developed for the numerical integration of second-order periodic initial value problems.

TL;DR: In this article, a nonlinear generalization of the nonlinear conjugate gradient method for nonlinear operator equations with symmetric Jacobians is presented. But it is not shown that these methods converge to a unique solution.

TL;DR: In this paper, the general explicit equations of motion for constrained discrete dynamical systems are obtained, leading to a simple and new fundamental view of constrained motion where the forces of constraint may be ideal and/or non-ideal.

TL;DR: Differential equations with singular coefficients such as Bessel's equation, Legendre's equation and Chebychev's equation are solved by the decomposition method as mentioned in this paper, and Laguerre's solution is solved by decomposition.

TL;DR: An automatic method of subdividing the flow domain into blocks has been developed and the suitability of such grids for flow calculations is demonstrated by presenting results from an algorithm used to solve the Euler equations.

TL;DR: In this paper, a finite-element method for the solution of a one-dimensional Stefan problem is developed and illustrated using the heat transfer in an ice-water medium, which is in very good agreement with the results produced earlier by several authors.

TL;DR: In this paper, the problem of self-reference in formal descriptions of biological systems is discussed in the context of time-space complementarity, and it is strongly related to the origin of irreversible time.

TL;DR: In this article, the Arrow-Debreu model with linear utility functions is considered and its complexity is shown to be less than the complexity of the circumscribed ellipsoid method.

TL;DR: In this article, the existence theorems of coupled quasi-fixed points for mixed monotone operators under more general conditions were obtained and applied to the Hammerstein integral equations.

TL;DR: This paper shows that a slight variant of the Jacobi method, namely theJacobi overrelaxation (JOR) method, can be made to ensure convergence of the iterative scheme for such matrices, and shows that this variant scheme can be explicitly determined without the need for any eigenvalue computations.

TL;DR: In this paper, new oscillation criteria are given for second order neutral functional differential equations of the form d^2dt^2( x(t) + @lx [ t - @t] + @mx [ t + @s]) + qx [t - @a] + px [T + @b] = 0, where @l, @t, @m, @s, p and q, are real numbers and @a and @b are real positive constants.

TL;DR: In this paper, a unified approximation scheme for computing the convolution of independent binomial variables is presented. But the scheme is based on two approximation methods: Speevak's and ours.

TL;DR: In this paper, a new concept, practical stability in the pth mean, is proposed for nonlinear stochastic systems, based on the Lyapunov-like functions and the basic comparison principle.

TL;DR: In this article, a class of linear difference equations is considered, and a necessary and sufficient condition for the oscillation of solutions is established, referred to the roots of the associated characteristic equation.

TL;DR: New interpolation formulas for using geometric assumptions in the algebraic multigrid (AMG) method are reported to extend the range of applications of the AMG method developed by Ruge and Stuben.

TL;DR: In this article, two LCTVs were selected for test measurements, the SEIKO lvd202 pocket color LCTV and the Epson Crystal Image video projector, and two phase-mostly joint transform optical correlators were constructed with two Seiko LCTV pairs.

TL;DR: A new method of control of the system using noncollocated sensors and actuators is presented which is capable of stabilizing the system and dampening the vibrations in all its modes, while using dislocated sensor and actuator locations.

TL;DR: In this article, a semidiscrete approximation of the FitzHugh-Nagumo equations with nonsmooth initial data was obtained, where the equations consist of a nonlinear parabolic equation coupled with an ordinary differential equation.

TL;DR: In this article, existence conditions and a closed-form expression for solutions of coupled singular systems of higher-order difference equations are given, which avoids the computational drawbacks derived from the standard approach based on the consideration of an equivalent first-order system.

TL;DR: In this paper, the authors present some simple alternative techniques for establishing the orthogonality property of the classical Laguerre polynomials and prove that they are orthogonal.

TL;DR: In this paper, the authors presented a quantitative a posteriori error estimate when the linear laminar stationary flow of a Bingham fluid in a cylindrical pipe is modeled as a Newtonian fluid.

TL;DR: A theory of program-size complexity for parenthesis-free LISP is developed by showing (a) that the maximum possible parentheses-free complexity of an n-bit string is ~ @bn, and (b) how to construct threeparenthesis- free LISp halting probabilities.