The Characteristic Mapping Method for the Linear Advection of Arbitrary Sets. - Olivier Mercier; Xi-Yuan Yin; Jean-Christophe Nave (SIAM J. Sci. Comput., 2020)

A Characteristic Mapping method for the two-dimensional incompressible Euler equations. - Xi-Yuan Yin; Olivier Mercier; Badal Yadav; Kai Schneider; Jean-Christophe Nave (J. Comput. Phys., 2021)

A Diffusion-Driven Characteristic Mapping Method for Particle Management. - Xi-Yuan Yin; Linan Chen; Jean-Christophe Nave (SIAM J. Sci. Comput., 2021)

A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties. - Philipp Krah; Xi-Yuan Yin; Julius Bergmann; Jean-Christophe Nave; Kai Schneider (CoRR, 2023)

A Characteristic Mapping Method for the three-dimensional incompressible Euler equations. - Xi-Yuan Yin; Kai Schneider; Jean-Christophe Nave (J. Comput. Phys., 2023)

Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method. - Julius Bergmann; Thibault Maurel-Oujia; Xi-Yuan Yin; Jean-Christophe Nave; Kai Schneider (CoRR, 2024)

A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics. - Xi-Yuan Yin; Philipp Krah; Jean-Christophe Nave; Kai Schneider (CoRR, 2024)