A unified technique for generating linear operations on homogeneous/non-homogeneous, Gaussian/non-Gaussian random fields defined on any subset of the multidimensional Euclidean space is provided. This is based on an approximate series representation valid for spatial random fields with arbitrary covariance function which can be readily realized. Furthermore, its applicability as a simulation to...

A.Y. Bani Hashim1, N.A. Abu Osman2, W.A.B. Wan Abas2, and L. Abdul Latif3 1 Department of Robotics & Automation, Faculty of Manufacturing Engineering, Universiti Teknikal Malaysia Melaka, Durian Tunggal, 76100 Melaka, Malaysia 2 Department of Biomedical Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur, Malaysia 3 Department of Rehabilitation Medicine, Faculty of Medicine,...

A brief description of effective Navier-Stokes (NS) numerical technique for high temperature gas flows simulation (HIGHTEMP) is given. The NS codes have been developed for various gas-phase models from perfect gas to thermally and chemically nonequilibrium multicomponent and multitemperature gas medium. Slip effects, finite rate energy exchanges, surface catalysis and ablation can be taken into...

1 King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia 2 Beni-Suef University, Faculty of Science, Department of Mathematics, Beni-Suef, Egypt 3 Cairo University, Faculty of Science, Department of Mathematics, Giza, Egypt 4 King Abdulaziz University, Faculty of Engineering, Department of Chemical and Materials Engineering, Jeddah, Saudi Arabia 5 Cankaya...

In this paper, we propose a simple bound-preserving sweeping procedure for conservative numerical approximations. Conservative schemes are of importance in many applications, yet for high order methods, the numerical solutions do not necessarily satisfy maximum principle. This paper constructs a simple sweeping algorithm to enforce the bound of the solutions. It has a very general framework act...

We propose a new numerical technique for following the evolution of a self-gravitating collisionless system in general relativity. Matter is modeled as a scalar field obeying the coupled Klein-Gordon and Einstein equations. A phase space distribution function, constructed using covariant coherent states, obeys the relativistic Vlasov equation provided the de Broglie wavelength for the field is ...

This paper describes a new method of numerical integration and compares its efficiency in propagating orbits to existing techniques commonly used in astrodynamics. By using generalized Gaussian quadratures for bandlimited functions, the implicit Runge-Kutta scheme (a collocation method) allows us to use significantly fewer force function evaluations than other integrators. The new method comput...

In this report the ray-gridding approach, a new numerical technique for the stability analysis of linear switched systems is presented. It is based on uniform partitions of the state-space in terms of ray directions which allow refinable families of polytopes of adjustable complexity to be examined for invariance. In this framework the existence of a polyhedral Lyapunov function that is common ...