• Zachary M. Boyd, Emma M. Schmidt, Scott D. Ramsey, and Roy S. Baty. "Converging shocks and collapsing cavities in non-ideal materials." In preparation.
  • Zachary M. Boyd, Mason A. Porter, and Andrea L. Bertozzi. "SBM is discrete surface tension." In preparation.

    In review
  • Scott D. Ramsey, Emma M. Schmidt, Zachary M. Boyd, Jennifer F. Lillieholm, and Roy S. Baty. "Converging shock flows for a Mie-Gruneisen equation of state." Submitted to Physics of Fluids.
  • Zachary M. Boyd, Egil Bae, Xue-Cheng Tai, and Andrea L. Bertozzi. "Simplified energy landscape for modularity using total variation." Submitted to SIAM J. App. Math. (arXiv link)

  • Zachary M. Boyd, Scott D. Ramsey, and Roy S. Baty. "On the existence of self-similar converging shocks for arbitrary equation of state." Qu. J. Mech. and App. Math., 70(4), 401-417, 2017. (arXiv link) (article link)
  • Scott D. Ramsey, Zachary M. Boyd, and Sarah Burnett. "Solution of the Noh Problem using the universal symmetry of the gas dynamics equations." Shock Waves 27(3), 477-485. (journal link)
  • Zachary M. Boyd, Michael Dorff, Maria Nowak, Matthew Romney, and Magdalena Woloszkiewicz. "Univalency of convolutions of harmonic mappings." Applied Mathematics and Computation, 234C (2014), 326-332. (journal link)

    Conference Proceedings
  • Zachary M. Boyd and Michael Dorff. "Harmonic univalent mappings and minimal graphs." Current topics in pure and computational complex analysis. Eds. S. Joshi, M. Dorff, and I. Lahiri. Springer, 2014. (journal link)
  • Zachary M. Boyd, Michael Dorff, Rachel Messick, Matthew Romney, and Ryan Viertel. "Harmonic univalent mappings with singular inner function dilatation." 60 years of analytic functions in Lublin. (journal link)

    Technical Reports
  • Zachary M. Boyd and Joanne Wendelberger. "An integrated approach to parameter learning in infinite dimensional space." Los Alamos technical report LA-UR-17-28326. (PDF file)
  • Zachary M. Boyd, Scott D. Ramsey, and Roy S. Baty. "Symmetries of the Euler compressible flow equations for general equation of state." I have the PDF. (PDF file)

    MS Thesis
  • Zachary M. Boyd. Convolutions and convex combinations of harmonic mappings of the disk. Master's thesis, 2014. (database link)

    Unpublished manuscript
  • Zachary M. Boyd and Andrea Bertozzi, PageRank Modularity MBO.