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Hans-Werner van Wyk
Hans-Werner van Wyk
Assistant Professor, Auburn University
Verified email at auburn.edu - Homepage
Title
Cited by
Cited by
Year
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
1162018
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
172021
Gradient-based estimation of uncertain parameters for elliptic partial differential equations
J Borggaard, HW Van Wyk
Inverse Problems 31 (6), 065008, 2015
162015
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
142015
Multilevel sparse grid methods for elliptic partial differential equations with random coefficients
HW van Wyk
arXiv preprint arXiv:1404.0963, 2014
142014
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
102019
A variational approach to estimating uncertain parameters in elliptic systems
HW van Wyk
Virginia Tech, 2012
82012
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
52020
Multilevel sparse grid methods for elliptic partial differential equations with random coefficients, arXiv
HW van Wyk
arXiv preprint arXiv:1404.0963, 0
5
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
42022
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
42018
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
42012
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
32022
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
32020
Clenshaw-Curtis type rules for statistical integrals
HW van Wyk, MD Gunzburger, J Burkardt
Tech. rep., Florida State University, 2016
32016
Sensitivity and uncertainty quantification of random distributed parameter systems
J Borggaard, VL Nunes, HW van Wyk
Math. Eng. Sci. Aerosp 4, 117-129, 2013
32013
Identification of Uncertain, Spatially Varying Parameters through Multilevel Sampling
HW van Wyk
IFAC Proceedings Volumes 47 (3), 1778-1783, 2014
12014
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
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