We describe an algorithm for the construction of optimum experimental designs for the parameters in a regression model when the errors have a correlation structure. Our example is drawn from chemical kinetics, so that the model is nonlinear. Our algorithm has been implemented to be used when the...

We describe an algorithm for the construction of optimum experimental designs for the parameters in a regression model when the errors have a correlation structure. Our example is drawn from chemical kinetics, so that the model is nonlinear. Our algorithm has been implemented to be used when the...

We compute the characteristic functional of a nonlinear transformation of a set of random variables. The equation is applied to the study of fractal stochastic processes with multiplicative noise. For illustration we investigate two types of chemical systems subjected to environmental...

One of the major problems associated with HCCI combustion engine application is lack of direct control for combustion timing. A proposed solution for combustion timing control is using a binary fuel blend in which two fuels with different auto-ignition characteristics are blended at various...

In this paper we consider the simulation of probabilistic chemical reactions in isothermal and adiabatic conditions. Models for reactions under isothermal conditions result in advection equations, adiabatic conditions yield the reactive Euler equations. In order to treat with scattering data,...

We study the influence of multiplicative random external perturbation on the Selkov model exhibiting limit cycles. The dynamics are described by stochastic differential equations. The numerically computed ensemble averages of the concentrations exhibit temporal localization of the limit cycles...

The simulation of elementary gas-phase reactions in a concentrated bath may be accomplished by a Markoff-chain model. The concept of the state of secular equilibrium, a necessary condition for the existence of rate coefficients local in time, demands that the Markoffian process be modelled using...

This computational fluid dynamics (CFD) study is performed to investigate the combustion characteristics and emissions formation processes of biodiesel fuels in a light-duty diesel engine. A compact reaction mechanism with 80 species and 303 reactions is used to account for the effects of...

Past numerical studies on natural gas HCCI engines have provided few thorough analyses of the effects of operating parameters on nitrogen oxides (referring to the mixture of nitric oxide and nitrogen dioxide). A single zone thermodynamic model with detailed chemical kinetics was used to...

Remodelling is a dynamic process occurring during growth and it includes sensing of environmental changes, tissue resorbance, i.e. the removal of existing old bone, and formation of new tissue. The biomechanical remodelling process is relatively well formulated for bones and can be divided into...