Showing papers in "Mathematics and Computers in Simulation in 1989"

TL;DR: In this paper, a new open ocean hybrid coordinate primitive equation model based on the standard model of Bryan and Cox has been developed for regional applications, including model initialization, open boundary conditions, and horizontal filtering on sloping coordinate surfaces.

TL;DR: In this article, the authors deal with the mathematical analysis of mathematical models in continuum physics which are described by partial differential equations, in one space dimension, with additional random noise, and an analysis of the error estimates is developed in order to provide a bound estimate of the distance between the solution of the true original problem and the one obtained by solving the system of ordinary differential equations.

TL;DR: An expert system environment for solving elliptic partial differential equations defined on two and three dimensional domains on MIMD type parallel machines will provide a uniform programming environment for implementing parallel MIMM PDE solution solvers.

TL;DR: In this article, the potential flow over symmetric airfoils has been formulated in terms of von Mises coordinates, and a rectangular computational domain with Dirichlet boundary conditions for the single unknown y (x, ψ) is provided.

TL;DR: The factors limiting the effective use of numerical simulation codes in real-world design environments are described and the results of a multi-year research effort addressing this issue are presented.

TL;DR: In this paper, the authors consider algorithms for generating random variates having a density, when only its Fourier coefficients or moments are known, and study the expected time per random variate.

TL;DR: In this article, a model for simulation of electromagnetic systems is proposed, where the magnetic equations solved with the help of the finite element method are coupled with the electric equations of the external circuit.

TL;DR: An intelligent interface where partial differential equations and their data may be entered in a relatively natural mathematical language is described and Fortran subroutines for functions and Jacobians that are required by the numerical software are generated automatically with symbolic differentiation used to evaluate Jacobians.

TL;DR: The current status of the GAMS project is described and some of the weaknesses of the system are enumerated and knowledge engineering techniques which may alleviate them are suggested.

TL;DR: The need for rapid prototyping of numerical simulations is considered, and an object-oriented, graphical based system (Smalltalk) is proposed as a basis for a new approach to user interfaces for scientific computing.

TL;DR: In this paper, the authors determined the solution of the Sylvester matric algebraic equation via the Kronecker algebra via the inversion of a ( min (p, q ) × min ( p, q )) matrix.

TL;DR: In this paper, a numerical method was developed for computing certain constants in the asymptotic solution of the singularly perturbed Fokker-Planck equation for higher-dimensional systems.

TL;DR: XELLPACK, an environment for solving elliptic partial differential equations (PDEs), is based on ELLPACK and the X Window System, making full use of interactive color graphics output and input.

TL;DR: An expert system has been designed and constructed which can accept a symbolic description of a mathematical model in terms of partial or ordinary differential equations along with boundary, initial, and subsidiary conditions and automatically generate and execute programs for their numerical solution.

TL;DR: A knowledge-based tool being developed to study the selection of a sequence of transformations that if applied to a sequential program will result in an efficient parallel schedule and is expected to provide valuable insight into the interactions among the transformations.

TL;DR: From the evaluation, the new DEQSOL will be able to shorten the above-mentioned simulation procedure time by one more order of magnitude, and make the system will become a more user-oriented PSE as well.

TL;DR: A knowledge-based approach to capturing the expertise required for FFT and convolution algorithm design and efficient implementation and a knowledge base and associated grammars and rules are implemented.

TL;DR: In this article, a generalized distribution called the bivariate H-function distribution was presented, and further properties of this distribution were explored, including normalizing constant, ordered noncentral moments, and marginal distribution functions.

TL;DR: An expert system is described that was designed as an assistant to an expert, to help with the problem of too much data and too little time, by automating many of the processing procedures and managing the information and data that is involved in the analysis tasks.

TL;DR: A methodology for the selection of activity indicators is presented and how to automate the process using a knowledge-based system that adjusts its parameters based on its previous experiences with similar problems is shown.

TL;DR: An automatic programming system which generates numerical discretization schemes for partial differential equation (PDE) problems by structured to include the differential geometry formalisms which make high dimensional surface integration simple.

TL;DR: By employing the diagonalization process, a generalized variation of the constants formula and the theory of differential inequalities, the mean square convergence of the solution process of a large-scale singularly perturbed linear stochastic systems is investigated in this article.

TL;DR: In this article, the stability analysis is based on Lyapunov exponents and rotation numbers which substitute the eigenvalues of time-invariant linear systems for a stochastic modeling of parameter perturbations, and the deterministic solution, for example the equilibrium position of the dynamic system, becomes unstable and bifurcates into turbulent motions.

TL;DR: In this paper, the uniform limit of finite-dimensional discrete-time bilinear models driven by Hilbert-space-valued random sequences is defined and the existence and uniqueness of solutions for such infinite-dimensional models can be established by assuming only independence and structural similarity for the stochastic environment under consideration.

TL;DR: The solution method of FIDISOL by a variable order/variable step size finite difference method is presented, an experimental expert system shell KESS is presented and the ideas for an expert system “F IDISOL user” are outlined.

TL;DR: In this paper, the tools for sensitivity analysis of stochastic systems whose behavior is described by ergodic stationary processes are presented and three kinds of generalized estimates for performance sensitivities of these systems are introduced.

TL;DR: The major features of PLOD, a package for solving systems of ordinary differential equations satisfies the second form of the definition but not the first, and how it has been forced to “reinvent the wheel” in order to provide needed capabilities.

TL;DR: Certains problemes lies au traitement parallele sont traites en utilisant les reseaux neuronaux: la decomposition de domaines; l'acheminement de messages and the generation of codes paralleles.

TL;DR: In this article, a method for using a single (0, 1) uniform random number to yield stochastically independent random numbers having a given finite distribution is presented, and the adaptation of the alias method to the given procedure is outlined.