UMIST Preserving transience in numerical solutions of

UMIST Preserving transience in numerical solutions of Volterraintegral equations of convolution typeNeville

Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations

Systems in which reaction terms are coupled to diffusion and advection transports arise in a wide range of chemical engineering applications, physics, biology and environmental. In these cases, the components of the unknown can denote concentrations or population sizes which represent quantities and they need to remain positive. Classical finite difference schemes may produce numerical drawback...

A family of positive nonstandard numerical methods with application to Black-Scholes equation

Nonstandard finite difference schemes for the Black-Scholes partial differential equation preserving the positivity property are proposed. Computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the Black-Scholes equation. Unlike the standard methods, the solutions of new proposed schemes are positive and free of the spurious oscillations.

Dealloying and Stress Corrosion Craking of Copper Alloys in Cu(I) Solutions

Natural cases of dealloying or stress-corrosion cracking in copper alloys normally occur in oxygenated solutions, where the cathodic reactant is O2 or Cu2+. Within cavities or under deposits, the local environment is enriched in cuprous ions (e.g. CuCl2-, Cu (NH3)2+) and the potential is close to the Cu/Cu+ equilibrium. Such conditions can be simulated macroscopically by stirring powdered Cu2O ...

Umist Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra Departments of Mathematics Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra 1