This paper presents an efficient design tool for the estimation of the transient electromagnetic peak torque and transient rotor over-voltages of wind turbines (WT) doubly-fed induction generators (DFIG) during severe fault conditions on the grid side. This versatile and robust tool is well...

The availability of an efficient, low-cost numerical simulator is essential in the design of fluid dynamic systems, both to achieve a deep understanding of the flow field and to allow a quick and economical optimization of the technical characteristics of industrial devices. With the aim of...

In this paper, we use the Box numerical method to compute implied bond and option prices starting from the general CKLS interest rate model based on Japanese interbank data. In particular, we compute numerically implied prices from the CKLS, Vasicek, Cox–Ingersoll–Ross and Brennan–Schwartz...

Different numerical methods are developed for solving retarded differential equations [1, 9]. Multistep numerical methods for general functional differential equations (FDE) were elaborated in [5, 10]. In contrast to those works presented in this paper, multistep numerical methods are based on...

A simple mathematical model of laser drilling is proposed. Assuming axi-symmetry of the process around the axis of the laser beam, a one-dimensional formulation is obtained after cross-sectional averaging. The novelty of the approach relies on the fact that even after dimension reduction, the...

Stability properties of Runge–Kutta methods for the linear neutral delay-integro-differential-algebraic system are considered. It is proved that every A-stable natural Runge–Kutta method preserves the delay-independent stability of the exact solution. Some numerical experiments are given.

Large-scale air pollution models can successfully be used in different environmental studies. These models are described mathematically by systems of partial differential equations. Splitting procedures followed by discretization of the spatial derivatives lead to several large systems of...

The temporal truncation error (TTE) associated with a noniterative operator split (OS) method for application to a system of m coupled transport partial differential equations (pdes) is analysed. The system incorporates arbitrary n-dimensional linear transport and arbitrary nonequilibrium...