Publications


2021

  • Rhyne, J. (2021). Probabilistic Error Analysis For Sequential Summation of Real Floating Point Numbers. arXiv preprint arXiv:2101.11738.

2019

  • A. ALEXANDERIAN, P. GREMAUD, and R. C. SMITH, Variance-based sensitivity analysis for time-dependent processes, submitted, https://arxiv.org/abs/1711.08030, 2019.
  • A. ALEXANDERIAN, N. PETRA, G. STADLER, and I. SUNSERI, Marginalized A-optimal design of experiments for large-scale Bayesian linear inverse problems, in preparation.
  • X. CHEN and C. T. KELLEY, Analysis of the EDIIS algorithm, 2019. to appear in SIAM J. Sci. Comp.
  • H. L. CLEAVES, A. ALEXANDERIAN, H. GUY, R. C. SMITH, and M. YU, Derivative-based global sensitivity analysis for models with high-dimensional inputs and functional outputs, submitted, https://arxiv.org/abs/1902.04630, 2019.
  • J. L. HART, and P. GREMAUD, Robustness of the Sobol’ indices to distributional uncertainty, accepted in Int. J. Uncertainty Quant., 2019.
  • J. L. HART and P. GREMAUD, Robustness of the Sobol’ indices to marginal distribution uncertainty, submitted, https://arxiv.org/abs/1812.07042.
  • J. L. HART, P. GREMAUD, and T. DAVID, Global sensitivity analysis of high-dimensional neuroscience models: an example of neurovascular coupling, Bull. Math. Biol., https://doi.org/10.1007/s11538-019-00578-0, 2019.
  • E. HERMAN, A. ALEXANDERIAN, and A. K. SAIBABA, Randomization and reweighted $\ell_1$ minimization for A-optimal design of linear inverse problems, 2019. submitted. https://arxiv.org/abs/1906.03791
  • C. T. KELLEY, Superlinear convergence of the Arnoldi iteration for compact eigenvalue problems, 2019. submitted.
  • C. LIU, C. T. KELLEY, and E. JAKUBIKOVA, Molecular dynamics simulations on relaxed reduced-dimensional potential energy surfaces, J. Chem. Th. and Comp., (2019). doi:10.1021/acs.jpca.9b02298. Published online 5/16/19.
  • P. R. MILES, G. T. PASH, R. C. SMITH, and W. S. OATES, Global sensitivity analysis of fractional-order viscoelasticity models. In Behavior and Mechanics of Multifunctional Materials XIII (Vol. 10968, p. 1096806). International Society for Optics and Photonics, 2019.
  • P. R. MILES, G. T. PASH, W. S. OATES, and R. C. SMITH, Numerical techniques to model fractional-order nonlinear viscoelasticity in soft elastomers. In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2018.
  • Z. MORROW, C. LIU, C. T. KELLEY, and E. JAKUBIKOVA, Approximating potential energy surfaces with sparse trigonometric interpolation, 2019. submitted.
  • M. VOHRA, A. ALEXANDERIAN, H. GUY, and D. MAHADEVAN, Active subspace-based dimension reduction for chemical kinetics applications with epistemic uncertainty, Combustion and Flame, 204 (2019), pp. 152–161.
  • M. VOHRA, A. ALEXANDERIAN, C. SAFTA, and S. MAHADEVAN, Sensitivity-driven adaptive construction of reduced-space surrogates, J. Sc. Computing, 70 (2019), pp. 1335–1359.

2018

  • X. CHEN, C. T. KELLEY, F. XU, and Z. ZHANG, A smoothing direct search method for Monte Carlo-based constrained nonsmooth nonconvex optimization, vol. 40, pp. A2174-A2199, 2018.
  • D. REICH, M. W. FARTHING, T. HESSLER, and C. T. KELLEY, Nearshore bathymetry estimation through assimilation of wave number observations, 2018. Submitted for publication.
  • C. T. KELLEY, Numerical methods for nonlinear equations, Acta Numerica, vol. 27, pp. 207–287, 2018.