@misc{Crouseilles_Nicolas_Hermite, author={Crouseilles, Nicolas and Latu, Guillaume and Sonnendrücker, Eric}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines.}, abstract={For this purpose, we present a method using patches decomposing the phase domain, each patch being devoted to a processor. Some Hermite boundary conditions allow for the reconstruction of a good approximation of the global solution. Several numerical results demonstrate the accuracy and the good scalability of the method with up to 64 processors. This work is a part of the CALVI project.}, title={Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation}, type={artykuł}, keywords={Vlasov-Poisson equation, semi-Lagrangian method, parallelism}, }