Building military simulations requires bridging the gap between the knowledge of commanders and computer representations of that knowledge. A significant part of this knowledge concerns military tasks, their interactions, and an understanding of how to grade their achievement. Action Models describe the complex spatial and temporal dynamics of goal directed tasks with a graphical notation. Comm...

In the present paper, a numerical investigation of transport phenomena is considered in electrically-conducting nanofluid flow within a porous bed utilizing Buongiorno’s transport model and Runge-Kutta-Fehlberg fourth-fifth order method. Induced flow by non-isothermal stretching/shrinking sheet along with magnetic field impact, dissipation effect, and slip conditions at the surface are...

Building military simulations requires bridging the gap between the knowledge of commanders and computer representations of that knowledge. A significant part of this knowledge concerns military tasks, their interactions, and an understanding of how to grade their achievement. Action Models describe the complex spacial and temporal dynamics of goal directed tasks with a graphical notation. Comm...

This paper presents an experiment of parallel knowledge base development by subject matter experts, performed as part of the DARPA’s Rapid Knowledge Formation Program. It introduces the Disciple-RKF development environment used in this experiment and proposes design guidelines for systems that support authoring of problem solving knowledge by subject matter experts. Finally, it compares Discipl...

In this paper, we study the preservation of quadratic conservation laws of Runge-Kutta methods and partitioned Runge-Kutta methods for Hamiltonian PDEs and establish the relation between multi-symplecticity of Runge-Kutta method and its quadratic conservation laws. For Schrödinger equations and Dirac equations, the relation implies that multi-sympletic RungeKutta methods applied to equations wi...

Over the years we have developed the Disciple theory, methodology, and family of tools for building knowledge-based agents. This approach consists of developing an agent shell that can be taught directly by a subject matter expert in a way that resembles how the expert would teach a human apprentice when solving problems in cooperation. This paper presents the most recent version of the Discipl...

‎in the present analysis‎, ‎we study the boundary layer flow of an incompressible viscous fluid near the two-dimensional stagnation-point flow over a stretching surface‎. ‎the effects of variable thickness and radiation are also taken into account and assumed that the sheet is non-flat‎. ‎using suitable transformations‎, ‎the governing partial differential equations are first converted to ordin...

in this paper, we examine the effects of thermal radiation on co2 emission and o2 depletion in an exothermic reactive slab of combustible materials with uniform surface temperature. the governing equations for the nonlinear heat and mass transfer problem are derived and solved numerically using runge-kutta-fehlberg method with shooting technique. numerical expressions for temperature field, co2...

System theory for numerical analysis has recently become a focus of research. In this paper we regard dynamics of Newton’s method as a nonlinear feedback system and derive convergence conditions, based on the internal model principle and systems of Lur’e type. We then focus our attention on the analysis of the region of absolute stability of Runge-Kutta type methods. We derive a linear matrix i...