Development of a Consistent and Stable Fully Implicit Moment Method for Vlasov-Ampère Particle in Cell (PIC) System. - William T. Taitano; Dana A. Knoll; Luis Chacón; Guangye Chen (SIAM J. Sci. Comput., 2013)

Computational Co-design of a Multiscale Plasma Application: A Process and Initial Results. - Joshua Payne; Dana A. Knoll; Allen McPherson; William T. Taitano; Luis Chacón; Guangye Chen; Scott Pakin (IPDPS, 2014)

Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations. - Guangye Chen; Luis Chacón; Christopher A. Leibs; Dana A. Knoll; William T. Taitano (J. Comput. Phys., 2014)

Leveraging Anderson Acceleration for improved convergence of iterative solutions to transport systems. - Jeffrey Willert; William T. Taitano; Dana A. Knoll (J. Comput. Phys., 2014)

Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system, part I: Collisionless aspects. - William T. Taitano; Luis Chacón (J. Comput. Phys., 2015)

A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth-Fokker-Planck equation. - William T. Taitano; Luis Chacón; A. N. Simakov; K. Molvig (J. Comput. Phys., 2015)

Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system, part II: Collisional aspects. - William T. Taitano; Dana A. Knoll; Luis Chacón (J. Comput. Phys., 2015)

An adaptive, conservative 0D-2V multispecies Rosenbluth-Fokker-Planck solver for arbitrarily disparate mass and temperature regimes. - William T. Taitano; Luis Chacón; A. N. Simakov (J. Comput. Phys., 2016)

Multiscale high-order/low-order (HOLO) algorithms and applications. - Luis Chacón; Guangye Chen; Dana A. Knoll; Christopher K. Newman; HyeongKae Park; William T. Taitano; Jeffrey Willert; Geoffrey Womeldorff (J. Comput. Phys., 2017)

An equilibrium-preserving discretization for the nonlinear Rosenbluth-Fokker-Planck operator in arbitrary multi-dimensional geometry. - William T. Taitano; Luis Chacón; A. N. Simakov (J. Comput. Phys., 2017)

An adaptive, implicit, conservative, 1D-2V multi-species Vlasov-Fokker-Planck multi-scale solver in planar geometry. - William T. Taitano; Luis Chacón; A. N. Simakov (J. Comput. Phys., 2018)

A fully implicit, scalable, conservative nonlinear relativistic Fokker-Planck 0D-2P solver for runaway electrons. - Don Daniel; William T. Taitano; Luis Chacón (Comput. Phys. Commun., 2020)

An efficient, conservative, time-implicit solver for the fully kinetic arbitrary-species 1D-2V Vlasov-Ampère system. - Steven E. Anderson; William T. Taitano; Luis Chacón; A. N. Simakov (J. Comput. Phys., 2020)

A conservative phase-space moving-grid strategy for a 1D-2V Vlasov-Fokker-Planck Solver. - William T. Taitano; Luis Chacón; A. N. Simakov; Steven E. Anderson (Comput. Phys. Commun., 2021)

An Eulerian Vlasov-Fokker-Planck algorithm for spherical implosion simulations of inertial confinement fusion capsules. - William T. Taitano; B. D. Keenan; Luis Chacón; Steven E. Anderson; Hans Hammer; A. N. Simakov (Comput. Phys. Commun., 2021)

An asymptotic-preserving 2D-2P relativistic drift-kinetic-equation solver for runaway electron simulations in axisymmetric tokamaks. - Luis Chacón; Don Daniel; William T. Taitano (J. Comput. Phys., 2022)

Sylvester-Preconditioned Adaptive-Rank Implicit Time Integrators for Advection-Diffusion Equations with Inhomogeneous Coefficients. - Hamad El Kahza; Jing-Mei Qiu; Luis Chacón; William T. Taitano (CoRR, 2024)

Krylov-based adaptive-rank implicit time integrators for stiff problems with application to nonlinear Fokker-Planck kinetic models. - Hamad El Kahza; William T. Taitano; Jing-Mei Qiu; Luis Chacón (J. Comput. Phys., 2024)

An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations. - Chen Liu 015; Jingwei Hu; William T. Taitano; Xiangxiong Zhang (Comput. Math. Appl., 2025)