An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm. - Guangye Chen; Luis Chacón; Daniel C. Barnes (J. Comput. Phys., 2011)

An efficient mixed-precision, hybrid CPU-GPU implementation of a nonlinearly implicit one-dimensional particle-in-cell algorithm. - Guangye Chen; Luis Chacón; Daniel C. Barnes (J. Comput. Phys., 2012)

A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes. - Luis Chacón; Guangye Chen; Daniel C. Barnes (J. Comput. Phys., 2013)

Continuously differentiable PIC shape functions for triangular meshes. - Daniel C. Barnes (J. Comput. Phys., 2018)

Finite spatial-grid effects in energy-conserving particle-in-cell algorithms. - Daniel C. Barnes; Luis Chacón (Comput. Phys. Commun., 2021)

Improved C1 shape functions for simplex meshes. - Daniel C. Barnes (J. Comput. Phys., 2021)

Time-explicit Darwin PIC algorithm. - Daniel C. Barnes (J. Comput. Phys., 2022)