Research Interests
Numerical methods of partial differential equations and fractional differential equations
Computational methods and numerical analysis related to Plasma Physics and Magnetohydrodynamics
Deep learning
System optimization and image reconstruction for xray computed tomography
Optimization techniques for optical tomography
Inverse scattering problems
Selected Publications
Y.T. Mehraliyev, H. Yang and E.I. Azizbayov, Recovery of unknown coefficients in a twodimensional hyperbolic equation with additional conditions, submitted.
I. Tekin and H. Yang, Determination of a timedependent coefficient in the timefractional wave equation with a nonclassical boundary conditions, TWMS Journal of Applied and Engineering Mathematics, accepted.
I. Tekin and H. Yang, Inverse problem for the timefractional EulerBernoulli beam equation, Mathematical Modelling and Analysis, vol.26, no.3 (2021), pp.503518.
H. Yang, Conservative local discontinuous Galerkin methods for the cubicquintic nonlinear Schrodinger equation, Optik, vol.226, no.1 (2021), Article ID 165821.
H. Yang and J. Liu, A qualitative deep learning method for inverse scattering problems, Applied Computational Electromagnetics Society Journal, vol.35, no.2 (2020), pp.153160.
H. Yang, An inverse problem for the sixthorder linear Boussinesqtype equation, U.P.B. Scientfic Bulletin, Series A: Applied Mathematics and Physics, vol.82, no.2 (2020), pp.2736.
H. Yang, Optimal error estimate of a decoupled conservative local discontinuous Galerkin method for the KleinGordonSchrodinger equations, Journal of Korean Society of Industrial and Applied Mathematics, vol.24, no.1 (2020), pp.3978.
H. Yang, Homotopy analysis method for the timefractional Boussinesq equation, Universal Journal of Mathematics and Applications, vol.3, no.1 (2020), pp.1218.
H. Yang, Error estimates for a class of energy and Hamiltonianpreserving local discontinuous Galerkin methods for the KleinGordonSchrodinger equations, Journal of Applied Mathematics and Computing, vol.62, no.12 (2020), pp.377424.
H. Yang, A new highorder method for the timefractional diffusion equation with a source, Journal of Fractional Calculus and Applications, vol.11, no.2 (2020), pp.111129.
F. Jones and H. Yang, A comparative study of the numerical approximations of quenching time for a nonlinear reactiondiffusion equation, Fundamental Journal of Mathematics and Applications, vol.3, no.2 (2020), pp.144152.
H. Yang, Highorder energy and linear momentum conserving methods for the KleinGordon equation, Mathematics, vol.6, no.10 (2018), 200.
H. Yang, W.X. Cong and G. Wang, Deep learning for dualenergy Xray computed tomography, Proceedings of the 14th International Meeting on Fully ThreeDimensional Image Reconstruction in Radiology and Nuclear Medicine (2017), pp.864869.
H. Yang, H. Yu and G. Wang, Deep learning for the classification of lung nodules, arXiv preprint arXiv:1611.06651v2 (2017).
H. Yang and F. Li, Discontinuous Galerkin methods for relativistic VlasovMaxwell system, Journal of Scientific Computing, vol.73, no.23 (2017), pp.12161248.
C.S. Chou, W. Sun, Y. Xing and H. Yang, Local discontinuous Galerkin methods for the KhokhlovZabolotskayaKuznetzov equation, Journal of Scientific Computing, vol.73, no.23 (2017), pp.593616.
H. Yang, J. Guo and J.H. Jung, Schwartz duality of the Dirac delta function for the Chebyshev collocation approximation to the fractional advection equation, Applied Mathematics Letters, vol.64, (2017), pp.205212.
H. Yang and F. Li, Stability analysis and error estimates of an exactly divergencefree method for the magnetic induction equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, no.4 (2016), pp. 965993.
E. Kemmerling, M. Wu, H. Yang, P. Maxim, B. Loo and R. Fahrig, Optimization of an onboard imaging system for extremely rapid radiation therapy, Medical Physics, vol. 42 (2015), pp. 67576767.
H. Yang and F. Li, Error estimates of RungeKutta discontinuous Galerkin methods for the VlasovMaxwell system, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, no.1 (2015), pp. 6999.
L. Zhao, H. Yang, W.X. Cong, G. Wang and X. Intes, Lp regularization for early gate fluorescence molecular tomography, Optics Letters, vol.39, no.14 (2014), pp. 41564159.
L. Zhao, H. Yang, W.X. Cong, G. Wang and X. Intes, Comparison of Lpregularizationbased reconstruction methods for early time gates in timedomain fluorescen molecular tomography, Proceedings of SPIE, vol. 8937 (2014).
H. Yang, F. Li and J. Qiu, Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods, Journal of Scientific Computing, vol.55, no.3 (2013), pp. 552574.
D. Duffy, H. Yang, et al., Medical ultrasound imaging, Proceedings of the TwentySixth Workshop on Mathematical Problems in Industry (2010), 42 pages.
