This paper revisits the use of the Taylor series method for the numerical integration of ODEs and DAEs. The numerical method is implemented using an efficient variablestep variabl...
We derive a necessary and sufficient condition for Turing instabilities to occur in two-component systems of reaction-diffusion equations with Neumann boundary conditions. We appl...
In this paper we study a free boundary problem modeling the growth of tumors. The model uses the conventional ideas of nutrient diffusion and consumption by the cells. We consider...
In this paper, we reviewed several newly presented nonlinear model order reduction methods, we analyze these methods theoretically and with experiments in detail. We show the prob...
Key authentication is very important in private communication and data integrity. Recently, Peinado, Zhang and Kim showed that the LHL scheme is not secure, respectively. From pub...