A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem S Duo, HW van Wyk, Y Zhang Journal of Computational Physics 355, 233-252, 2018 | 108 | 2018 |
Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation N Guerngar, E Nane, R Tinaztepe, S Ulusoy, HW Van Wyk Fractional Calculus and Applied Analysis 24 (3), 818-847, 2021 | 14 | 2021 |
Power-law noises over general spatial domains and on nonstandard meshes HW van Wyk, M Gunzburger, J Burkhardt, M Stoyanov SIAM/ASA Journal on Uncertainty Quantification 3 (1), 296-319, 2015 | 14 | 2015 |
Multilevel sparse grid methods for elliptic partial differential equations with random coefficients HW van Wyk arXiv preprint arXiv:1404.0963, 2014 | 14 | 2014 |
Gradient-based estimation of uncertain parameters for elliptic partial differential equations J Borggaard, HW Van Wyk Inverse Problems 31 (6), 065008, 2015 | 13 | 2015 |
Computational optimal design of random rough surfaces in thin-film solar cells G Bao, Y Cao, J Lin, HW Van Wyk Communications in Computational Physics 25 (5), 2019 | 9 | 2019 |
A variational approach to estimating uncertain parameters in elliptic systems HW van Wyk Virginia Tech, 2012 | 8 | 2012 |
Multilevel sparse grid methods for elliptic partial differential equations with random coefficients, arXiv HW van Wyk arXiv preprint arXiv:1404.0963, 0 | 6 | |
Optimization-based estimation of random distributed parameters in elliptic partial differential equations J Borggaard, HW van Wyk 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2926-2933, 2012 | 4 | 2012 |
Adaptive stochastic gradient descent for optimal control of parabolic equations with random parameters Y Cao, S Das, HW van Wyk Numerical Methods for Partial Differential Equations 38 (6), 2104-2122, 2022 | 3 | 2022 |
A nonautonomous chemostat model for the growth of gut microbiome with varying nutrient. B Hall, X Han, PE Kloeden, HW Wyk Discrete & Continuous Dynamical Systems-Series S 15 (10), 2022 | 3 | 2022 |
Well‐posedness and finite element approximation of time dependent generalized bioconvective flow Y Cao, S Chen, HW van Wyk Numerical Methods for Partial Differential Equations 36 (4), 709-733, 2020 | 3 | 2020 |
Clenshaw-Curtis type rules for statistical integrals HW van Wyk, MD Gunzburger, J Burkardt Tech. rep., Florida State University, 2016 | 3 | 2016 |
Sensitivity and uncertainty quantification of random distributed parameter systems J Borggaard, VL Nunes, HW van Wyk Math. Eng. Sci. Aerosp 4, 117-129, 2013 | 3 | 2013 |
Analysis of the stochastic alternating least squares method for the decomposition of random tensors Y Cao, S Das, L Oeding, HW van Wyk arXiv preprint arXiv:2004.12530, 2020 | 2 | 2020 |
A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion N Guerngar, E Nane, S Ulusoy, HW Van Wyk arXiv preprint arXiv:1810.01543, 2018 | 1 | 2018 |
Identification of Uncertain, Spatially Varying Parameters through Multilevel Sampling HW van Wyk IFAC Proceedings Volumes 47 (3), 1778-1783, 2014 | 1 | 2014 |
GeoAdaLer: Geometric Insights into Adaptive Stochastic Gradient Descent Algorithms C Eleh, M Mwanza, E Aguegboh, HW van Wyk arXiv preprint arXiv:2405.16255, 2024 | | 2024 |
Optimal Upscaling with Transport Maps C Eleh, HW van Wyk Integral Equations and Applications, 2022 | | 2022 |
Optimal Parameter Upscaling for Partial Differential Equation Models in Mathematical Biology C Eleh, HW Van Wyk AMS Special Session on Mathematical Modeling of Biological Processes, 2022 | | 2022 |