@article{lehenaffGridfreeWeightedParticle2023,
 abstract = {We study a grid-free particle method based on following the evolution of the characteristics of the Vlasov--Poisson system, and we show that it converges for smooth enough initial data. This method is built as a combination of well-studied building blocks---mainly time integration and integral quadratures---and allows to obtain arbitrarily high orders. By making use of the Non-Uniform Fast Fourier Transform, the overall computational complexity is O(P log P + K d log K d ), where P is the total number of particles and where we only keep the Fourier modes k $ın$ (Zd )$*$ such that k12 + $·$ $·$ $·$ + kd2 $łeq$ K 2. Some numerical results are given for the Vlasov--Poisson system in the one-dimensional case.},
 author = {Le Hénaff, Yoann},
 copyright = {All rights reserved},
 journal = {Numerische Mathematik},
 langid = {english},
 month = {December},
 number = {3-4},
 pages = {289--344},
 title = {Grid-Free Weighted Particle Method Applied to the Vlasov--Poisson Equation},
 volume = {155},
 year = {2023}
}