Publications



In review
  • Zachary M. Boyd, Mason A. Porter, and Andrea L. Bertozzi. "SBM is discrete surface tension." Submitted to J. Nonlinear Sci. (arXiv_link )
  • Zachary M. Boyd, Emma M. Schmidt, Scott D. Ramsey, and Roy S. Baty. "Converging shocks and collapsing cavities in non-ideal materials." Submitted to SIAM J. Math. Anal. (arXiv link)

    Published
  • Zachary M. Boyd, Egil Bae, Xue-Cheng Tai, and Andrea L. Bertozzi. "Simplified energy landscape for modularity using total variation." Accepted at SIAM J. App. Math. (arXiv link)
  • 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." Accepted at Physics of Fluids. (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, 2017. (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, 326-332, 2014. (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, 21-46, 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, 191-200, 2012. (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, 2017. (PDF file)
  • Zachary M. Boyd, Scott D. Ramsey, and Roy S. Baty. "Symmetries of the Euler compressible flow equations for general equation of state." Los Alamos technical report LA-UR-15-28034, 2015. (PDF file)

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

    Unpublished manuscript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