An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs

An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs

An exponential integrator for a highly oscillatory Vlasov equation

In the framework of a Particle-In-Cell scheme for some 1D Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which is numerically uniformly accurate when the parameter goes to zero. Based on an exponential time differencing approach, the scheme is able to use large time steps with respect to the typical size of the fast oscillations of the solution.

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...

A massively parallel exponential integrator for advection-diffusion models

This work considers the Real Leja Points Method (ReLPM), [M. Caliari, M. Vianello, L. Bergamaschi, Interpolating discrete advection-diffusion propagators at spectral Leja sequences, J. Comput. Appl. Math. 172 (2004) 79–99], for the exponential integration of large-scale sparse systems of ODEs, generated by Finite Element or Finite Difference discretizations of 3-D advection-diffusion models. We...

Time-parallel methods for massively parallel solution of PDEs

Todays fastest supercomputers already feature more than a million cores and this number is expected to rise beyond 100 million over the next decade. Because at the same time frequencies of individual processors remain constant or even decrease for reasons of efficiency, developers are increasingly confronted with the fact that accelerating numerical (but also other) codes necessarily requires t...