@Article{CiCP-22-789,
author = {Xiaotao Xiao, Lei Ye, Yingfeng Xu and Shaojie Wang},
title = {Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {3},
pages = {789--802},
abstract = {<p style="text-align: justify;">The computation efficiency of high dimensional (3D and 4D) B-spline interpolation,
constructed by classical tensor product method, is improved greatly by
precomputing the B-spline function. This is due to the character of NLT code, i.e. only
the linearised characteristics are needed so that the unperturbed orbit as well as values
of the B-spline function at interpolation points can be precomputed at the beginning of
the simulation. By integrating this fixed point interpolation algorithm into NLT code,
the high dimensional gyro-kinetic Vlasov equation can be solved directly without operator
splitting method which is applied in conventional semi-Lagrangian codes. In
the Rosenbluth-Hinton test, NLT runs a few times faster for Vlasov solver part and
converges at about one order larger time step than conventional splitting code.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0092},
url = {http://global-sci.org/intro/article_detail/cicp/9981.html}
}