Hans-Werner van Wyk

Assistant Professor, Mathematics and Statistics, Auburn University

Publications

In Preparation

  1. A. Foster, S. Loch, K. Stewart, H.-W. van Wyk, The Quantification of Uncertainties in Dielectronic Recombination Rates for Astrophysical Plasmas
  2. H.-W. van Wyk, F.Yakasa Hybrid Sampling for Uncertainty Quantification in Systems with High Dimensional Parameter Spaces

Under Review

  1. N. Guerngar, E. Nane, S. Ulusoy, H.-W. van Wyk, A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion , Chaos, Solitons and Fractals (arXiv)
  2. N. Guerngar, E. Nane, R. Tinaztepe, S. Ulusoy, H.-W. van Wyk, Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation \(\partial_t^\beta u= -\big(-\Delta\big)^{\alpha/2}u-\big(-\Delta\big)^{\gamma/2}u\), FCAA, (arXiv)
  3. Y. Cao, S. Das, L. Oeding, H.-W. van Wyk, Analysis of Stochastic Gradient Descent Methods for the Decomposition of Random Tensors, SIAM Journal on Matrix Analysis (arXiv)
  4. J. Burkardt, M. Gunzburger, H.-W. van Wyk, Clenshaw-Curtis type rules for statistics, SIAM Journal on Scientific Computing, (link).

Published

  1. Y. Cao, S. Chen, H.-W. van Wyk, Well-posedness and finite element approximation of time dependent generalized bioconvective flow, Numerical Methods for Partial Differential Equations, Wiley, 2019, doi:10.1002/num.22442
  2. G. Bao, Y. Cao, J. Lin, H.-W. van Wyk, Computational optimal design of random rough surfaces in thin film solar cells, Communications in Computational Physics, 25 (2019), pp.1591--1612, doi:10.4208/cicp.OA-2018-0013
  3. S. Duo, H.-W. van Wyk, Y. Zhang, A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem, Journal of Computational Physics, Volume 355, 15 February 2018, doi:10.1016/j.jcp.2017.11.011
  4. H.-W. van Wyk, M. Gunzburger, J. Burkardt, M. Stoyanov, Power-law noises over general spatial domains and on non-standard meshes , SIAM/ASA Journal on Uncertainty Quantification, Volume 3, Issue 1, pp. 1-369, 2015, doi:10.1137/140985433
  5. J. Borggaard, H.-W. van Wyk, Gradient-Based Estimation of Uncertain Parameters for Elliptic Partial Differential Equations, Inverse Problems 31, 065008, 2015, doi:10.1088/0266-5611/31/6/065008
  6. H.-W. van Wyk, J. Borggaard, V. Nunes Sensitivity and Uncertainty Quantification of Random Distributed Parameter Systems, Mathematics in Engineering, Science and Aerospace, Vol 4, No.2, 2013
  7. H.-W. van Wyk Identification of Uncertain, Spatially Varying Parameters through Multilevel Sampling, 19th IFAC World Congress, 2014
  8. H.-W. van Wyk, J. Borggaard, V. Nunes, Using Fr\'echet Sensitivity Analysis to Interrogate Distributed Parameters in Random Systems, Proceedings of the 2013 ACC Conference, Washington DC, June 17-19.
  9. J. Borggaard, H.-W. van Wyk, Optimization-Based Estimation of Random Distributed Parameters in Elliptic Partial Differential Equations, Proceedings of the 51st IEEE Conference on Decision and Control, 2012.