Shixiao W. Jiang
Shixiao W. Jiang
Assistant Research Professor of Mathematics, Penn State University
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Machine learning for prediction with missing dynamics
J Harlim, SW Jiang, S Liang, H Yang
Journal of Computational Physics 428, 109922, 2021
Modeling of missing dynamical systems: Deriving parametric models using a nonparametric framework
SW Jiang, J Harlim
Research in the Mathematical Sciences 7 (3), 1-25, 2020
Modulation-resonance mechanism for surface waves in a two-layer fluid system
SW Jiang, G Kovačič, D Zhou, D Cai
Journal of Fluid Mechanics 875, 807-841, 2019
Parameter estimation with data-driven nonparametric likelihood functions
SW Jiang, J Harlim
Entropy 21 (6), 559, 2019
Ghost point diffusion maps for solving elliptic PDEs on manifolds with classical boundary conditions
SW Jiang, J Harlim
Communications on Pure and Applied Mathematics, 2020
Renormalized dispersion relations of -Fermi-Pasta-Ulam chains in equilibrium and nonequilibrium states
WJ Shi-xiao, H Lu, D Zhou, D Cai
Physical Review E 90 (3), 032925, 2014
Solving pdes on unknown manifolds with machine learning
S Liang, SW Jiang, J Harlim, H Yang
arXiv preprint arXiv:2106.06682, 2021
Stochastic linearization of turbulent dynamics of dispersive waves in equilibrium and non-equilibrium state
SW Jiang, H Lu, D Zhou, D Cai
New Journal of Physics 18 (8), 083028, 2016
Kernel-based methods for solving time-dependent advection-diffusion equations on manifolds
Q Yan, SW Jiang, J Harlim
Journal of Scientific Computing 94 (1), 1-34, 2023
Graph-based prior and forward models for inverse problems on manifolds with boundaries
J Harlim, SW Jiang, H Kim, D Sanz-Alonso
Inverse Problems 38 (3), 035006, 2022
Radial basis approximation of tensor fields on manifolds: From operator estimation to manifold learning
J Harlim, SW Jiang, JW Peoples
arXiv preprint arXiv:2208.08369, 2022
Asymmetric behavior of surface waves induced by an underlying interfacial wave
SW Jiang, G Kovačič, D Zhou
Communications in Mathematical Sciences, 17 (5), 1333-1351, 2019
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