74 citations · 122 across the 6 of their papers we have counts for
3 papers · 1 filter
Arbitrarily high order Convected Scheme solution of the Vlasov-Poisson system
Yaman Güçlü, Andrew J. Christlieb, William N. G. Hitchon
The Convected Scheme (CS) is a `forward-trajectory' semi-Lagrangian method for solution of transport equations, which has been most often applied to the kinetic description of plas…
A high order cell-centered semi-Lagrangian scheme for multi-dimensional kinetic simulations of neutral gas flows
Yaman Güçlü, William N. G. Hitchon
The term `Convected Scheme' (CS) refers to a family of algorithms, most usually applied to the solution of Boltzmann's equation, which uses a method of characteristics in an integr…
High-order multiderivative time integrators for hyperbolic conservation laws
David C. Seal, Yaman Güçlü, Andrew J. Christlieb
Multiderivative time integrators have a long history of development for ordinary differential equations, and yet to date, only a small subset of these methods have been explored as…