Taitano, W. T.; Keenan, B. D.; Chacón, L.; Anderson, S. E.; Hammer, H. R.; Simakov, A. N. An Eulerian Vlasov-Fokker-Planck algorithm for spherical implosion simulations of inertial confinement fusion capsules. (English) Zbl 07692411 Comput. Phys. Commun. 263, Article ID 107861, 42 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{W. T. Taitano} et al., Comput. Phys. Commun. 263, Article ID 107861, 42 p. (2021; Zbl 07692411) Full Text: DOI arXiv
Daniel, Don; Taitano, William T.; Chacón, Luis A fully implicit, scalable, conservative nonlinear relativistic Fokker-Planck 0D-2P solver for runaway electrons. (English) Zbl 07687588 Comput. Phys. Commun. 254, Article ID 107361, 15 p. (2020). MSC: 82-XX 78-XX PDFBibTeX XMLCite \textit{D. Daniel} et al., Comput. Phys. Commun. 254, Article ID 107361, 15 p. (2020; Zbl 07687588) Full Text: DOI arXiv
Anderson, S. E.; Taitano, W. T.; Chacón, L.; Simakov, A. N. An efficient, conservative, time-implicit solver for the fully kinetic arbitrary-species 1D-2V Vlasov-Ampère system. (English) Zbl 07507245 J. Comput. Phys. 419, Article ID 109686, 38 p. (2020). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{S. E. Anderson} et al., J. Comput. Phys. 419, Article ID 109686, 38 p. (2020; Zbl 07507245) Full Text: DOI arXiv
Chacón, L.; Chen, G.; Knoll, D. A.; Newman, C.; Park, H.; Taitano, W.; Willert, J. A.; Womeldorff, G. Multiscale high-order/low-order (HOLO) algorithms and applications. (English) Zbl 1380.65316 J. Comput. Phys. 330, 21-45 (2017). MSC: 65M99 76N15 76X05 86A05 65C05 65-02 PDFBibTeX XMLCite \textit{L. Chacón} et al., J. Comput. Phys. 330, 21--45 (2017; Zbl 1380.65316) Full Text: DOI
Taitano, W. T.; Chacón, L.; Simakov, A. N. An equilibrium-preserving discretization for the nonlinear Rosenbluth-Fokker-Planck operator in arbitrary multi-dimensional geometry. (English) Zbl 1375.82101 J. Comput. Phys. 339, 453-460 (2017). MSC: 82C80 35Q84 82D10 PDFBibTeX XMLCite \textit{W. T. Taitano} et al., J. Comput. Phys. 339, 453--460 (2017; Zbl 1375.82101) Full Text: DOI
Taitano, William T.; Knoll, Dana A.; Chacón, Luis Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system. II: Collisional aspects. (English) Zbl 1351.76125 J. Comput. Phys. 284, 737-757 (2015). MSC: 76M12 65M08 76X05 76L05 PDFBibTeX XMLCite \textit{W. T. Taitano} et al., J. Comput. Phys. 284, 737--757 (2015; Zbl 1351.76125) Full Text: DOI
Taitano, William T.; Chacón, Luis Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system, part I: Collisionless aspects. (English) Zbl 1351.76124 J. Comput. Phys. 284, 718-736 (2015). MSC: 76M12 65M08 76X05 76L05 PDFBibTeX XMLCite \textit{W. T. Taitano} and \textit{L. Chacón}, J. Comput. Phys. 284, 718--736 (2015; Zbl 1351.76124) Full Text: DOI
Taitano, W. T.; Chacón, L.; Simakov, A. N.; Molvig, K. A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth-Fokker-Planck equation. (English) Zbl 1349.65384 J. Comput. Phys. 297, 357-380 (2015). MSC: 65M08 65M12 65M22 82C31 82C80 PDFBibTeX XMLCite \textit{W. T. Taitano} et al., J. Comput. Phys. 297, 357--380 (2015; Zbl 1349.65384) Full Text: DOI
Taitano, William T.; Knoll, Dana A.; Chacón, Luis; Reisner, Jon M.; Prinja, Anil K. Moment-based acceleration for neutral gas kinetics with BGK collision operator. (English) Zbl 07500142 J. Comput. Theor. Transp. 43, No. 1-7, 83-108 (2014). MSC: 82-XX PDFBibTeX XMLCite \textit{W. T. Taitano} et al., J. Comput. Theor. Transp. 43, No. 1--7, 83--108 (2014; Zbl 07500142) Full Text: DOI
Willert, Jeffrey; Taitano, William T.; Knoll, Dana Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems. (English) Zbl 1351.82093 J. Comput. Phys. 273, 278-286 (2014). MSC: 82C80 82D10 PDFBibTeX XMLCite \textit{J. Willert} et al., J. Comput. Phys. 273, 278--286 (2014; Zbl 1351.82093) Full Text: DOI
Chen, G.; Chacón, L.; Leibs, C. A.; Knoll, D. A.; Taitano, W. Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations. (English) Zbl 1349.78091 J. Comput. Phys. 258, 555-567 (2014). MSC: 78M20 65M06 65M75 76X05 78M25 82D10 PDFBibTeX XMLCite \textit{G. Chen} et al., J. Comput. Phys. 258, 555--567 (2014; Zbl 1349.78091) Full Text: DOI arXiv