Learning from previous solutions could be a key for improving both the solution process and the quality of the solution. Unfortunately knowledge (i.e. components) in technical configuration domains changes quickly and learning brings with it a certain amount of conservatism. For example a component that was learned to be good for a certain task should no longer be chosen, if a newer version app...

* 0-7803-7952-7/03/$17.00 © 2003 IEEE. Abstract This paper presents the Disciple-RKF methodology for rapid development of large knowledge bases which relies on importing ontological knowledge from existing knowledge repositories, on parallel development of separate knowledge bases by subject matter experts, and on the merging of these knowledge bases into a high performance integrated knowledge...

-A pair of explicit Runge-Kutta formulas of orders 4 and 5 is derived. It is significantly more efficient than the Fehlberg and Dormand-Prince pairs, and by standard measures it is of at least as high quality. There are two independent estimates of the local error. The local error of the interpolant is, to leading order, a problem-independent function of the local error at the end of the step. ...

The Kalman Filter (KF) is pervasively used to control a vast array of consumer, health and defense products. By grouping sets of symmetric state variables, the Relational Kalman Filter (RKF) enables to scale the exact KF for large-scale dynamic systems. In this paper, we provide a parameter learning algorithm for RKF, and a regrouping algorithm that prevents the degeneration of the relational s...

A space-time adaptive method is presented for the reactive Euler equations describing chemically reacting gas flow where a two species model is used for the chemistry. The governing equations are discretized with a finite volume method and dynamic space adaptivity is introduced using multiresolution analysis. A time splitting method of Strang is applied to be able to consider stiff problems whi...

in this paper, a class of semi-implicit two-stage stochastic runge-kutta methods (srks) of strong global order one, with minimum principal error constants are given. these methods are applied to solve itô stochastic differential equations (sdes) with a wiener process. the efficiency of this method with respect to explicit two-stage itô runge-kutta methods (irks), it method, milstien method, sem...

A numerical study has been carried out on the momentum and heat transfer characteristics of an incompressible magnetohydrodynamic boundary layer slip flow over a flat plate with both viscous and ohmic dissipations. Momentum boundary layer equation takes care of the magnetic field while the ohmic and viscous dissipations are accounted for by the thermal boundary layer equation. The governing equ...

The aim of this paper is to study the oblique stagnation point flow on vertical plate with uniform surface heat flux in presence of magnetic field. Using Stream function, partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. Numerical solutions of these equations are obtained using Runge-Kutta Fehlberg me...