Publications

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Journal Publications

  1. Y. Jiang, C.-W. Shu and M. Zhang, An alternative formulation of finite difference weighted ENO schemes with Lax-Wendroff time discretization for conservation laws, SIAM Journal on Scientific Computing, v35 (2013), pp. A1137-A1160.

  2. Y. Jiang, C.-W. Shu and M. Zhang, Free-stream preserving finite difference schemes on curvilinear meshes, Methods and Applications of Analysis, v21 (2014), pp. 1-30.

  3. Y. Jiang, C.-W. Shu and M. Zhang, High order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates, Mathematical Models and Methods in Applied Sciences (M3AS), v25 (2015), pp.1553-1588.

  4. A. Christlieb, W. Guo and Y. Jiang, A WENO-based method of lines transpose approach for Vlasov simulations, Journal of Computational Physics, v327 (2016), pp. 337-367.

  5. V. A. Bokil, Y. Cheng, Y. Jiang and F. Li, Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media, Journal of Computational Physics, v350 (2017), pp. 420-452.

  6. V. A. Bokil, Y. Cheng, Y. Jiang, F. Li, and P. Sakkaplangkul, High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media, Journal of Scientific Computing, v77 (2018), pp. 1-42.

  7. A. Christlieb, X. Feng, Y. Jiang and Q. Tang, A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes, SIAM Journal on Scientific Computing, v40 (2018), pp. A2631-A2666.

  8. A. Christlieb, W. Guo and Y. Jiang, A kernel based high order "explicit" unconditionally stable scheme for time dependent Hamilton-Jacobi equations, Journal of Computational Physics, v379 (2019), pp. 214-236.

  9. A. Christlieb, W. Guo, Y. Jiang, H. Yang, A moving mesh WENO method based on exponential polynomials for one-dimensional conservation laws, Journal of Computational Physics, v380 (2019), pp. 334-354.

  10. Y. Jiang, P. Sakkaplangkul, V. A. Bokil, Y. Cheng and F. Li, Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media, Journal of Computational Physics, v394 (2019), pp. 100-135.

  11. Y. Yu, Y. Jiang and M. Zhang, Free-stream preserving finite difference schemes for ideal magnetohydrodynamics on curvilinear meshes, Journal of Scientific Computing, v82 (2020), 23.

  12. A. Christlieb, W. Guo, Y. Jiang and H. Yang, Kernel based high order "explicit" unconditionally stable scheme for nonlinear degenerate advection-diffusion equations, Journal of Scientific Computing, v82 (2020), 52.

  13. Y. Jiang, High order finite difference multi-resolution WENO method for nonlinear degenerate parabolic equations, Journal of Scientific Computing, v86 (2021), 16.

  14. K. Wang, A. Christlieb, Y. Jiang and M. Zhang, A kernel based unconditionally stable scheme for nonlinear parabolic partial differential equations, Communications in Computational Physics, v29 (2021), pp. 237-264.

  15. Z. Tao, Y. Jiang and Y. Cheng, An adaptive high-order piecewise polynomial based sparse grid collocation method with applications, Journal of Computational Physics, v433 (2021), 109770.

  16. F. Cakir, A. Christlieb and Y. Jiang, A high order finite difference weighted essentially nonoscillatory scheme with a kernel-based constrained transport method for ideal magnetohydrodynamics, SIAM Journal on Scientific Computing, v43 (2021), pp. B598-B622.

  17. Z. Cheng, S. Liu, Y. Jiang, J. Lu, M. Zhang and S. Zhang, A high order boundary scheme to simulate a complex moving rigid body under the impingement of a shock wave, Applied Mathematics and Mechanics (English Edition), v42 (2021), pp. 841-854.

  18. K. Wang, Y. Jiang and M. Zhang, A hybrid HWENO-based method of lines transpose approach for Vlasov simulations (English), Journal of University of Science and Technology of China, v51 (2021), pp. 202-215.

  19. S. Liu, Z. Cheng, Y. Jiang, J. Lu, M. Zhang and S. Zhang, Numerical simulation of a complex moving rigid body under the impingement of a shock wave in 3D, Advances in Aerodynamics, v4 (2022).

  20. M. Jiao, Y. Jiang, C.-W. Shu and M. Zhang, Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws, ESAIM: Mathematical Modelling and Numerical Analysis, v56 (2022), pp. 1401 - 1435.

    21. Here is a supplementary material of the detailed proofs and formulas for Proposition 2.1 and Lemma 3.2.

  21. Z. Liu, Y. Jiang, M. Zhang and Q. Liu, High order finite difference WENO method for shallow water equations on curvilinear meshes , Communications on Applied Mathematics and Computation, v5(2023), pp. 485-528.

  22. S. Liu, Y. Jiang, C.-W. Shu, M. Zhang and S. Zhang, A high order moving boundary treatment for convection-diffusion equations, Journal of Computational Physics, v473 (2023), 111752.

  23. Q. Tao, Y. Liu, Y. Jiang, and J. Lu, An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations, Numerical Methods for Partial Differential Equations, v39 (2023), pp. 3145-3169.

  24. L. Yang, Y. Liu, Y. Jiang and M. Zhang, Discontinuous Galerkin methods for network patterning phase-field models, Journal of Scientific Computing, v98 (2024), 27.

  25. M. Jiao, Y. Jiang, and M. Zhang, A provable positivity-preserving local discontinuous Galerkin method for the viscous and resistive MHD equations, Communications on Applied Mathematics and Computation, v6(2024), pp. 279-310.

  26. L. Yang, S. Li, Y. Jiang, C.-W. Shu and M. Zhang, Inverse Lax-Wendroff boundary treatment of discontinuous Galerkin method for 1D conservation laws, Communications on Applied Mathematics and Computation (2024).

  27. J. Lu, Y. Jiang, C.-W. Shu and M. Zhang, Analysis of a class of spectral volume methods for linear scalar hyperbolic conservation laws, Numerical Methods for Partial Differential Equations, (2024), e23126.

  28. G. Zhu, Y. Jiang and M. Zhang, Inverse Lax-Wendroff boundary treatment for solving conservation laws with finite volume methods, Communications on Applied Mathematics and Computation (2024).

  29. S. Liu, T. Li, Z. Cheng, Y. Jiang, C.-W. Shu and M. Zhang, A new type of simplified inverse Lax-Wendroff boundary treatment I: hyperbolic conservation laws, Journal of Computational Physics, v514 (2024), 113259.

  30. Y. Jiang and S. Wang, Upwind summation-by-parts finite differences: error estimates and WENO methodology, Journal of Scientific Computing, v100 (2024).

  31. P. Peng, X. Tao, Z. Peng, Y. Jiang, Z. Gao, D. Yang, J. M. Albert, A. A. Chan, Modeling radiation belt dynamics using a positivity-preserving finite volume method on general meshes, Journal of Geophysical Research: Space Physics, 129 (2024), e2024JA032919.

  32. Y. Liu, Y. Jiang and M. Zhang, Globally divergence-free spectral-DG methods for MHD equations on cylindrical coordinates, Beijing Journal of Pure and Applied Mathematics, to appear.

  33. H. Yu, Z. Cheng, Y. Jiang and M. Zhang, ILW boundary treatment for computational aeroacoustics with solid wall boundary conditions, Beijing Journal of Pure and Applied Mathematics, to appear.



Conference Proceedings
  1. B. Dong, S. Gottlieb, Y. Hristova, Y. Jiang and H. Wang, The effect of the sensitivity parameter in weighted essentially non-oscillatory methods, In S. Brenner (Ed.), Topics in Numerical Partial Differential Equations and Scientific Computing, The IMA Volumes in Mathematics and its Applications, vol. 160, Springer New York, 2016, pp. 23-50.


Preprints

  1. Z. Liu, Y. Jiang, C.-W. Shu and M. Zhang, High order inverse Lax-Wendroff procedure for fluid-structure interaction problems, submitted, 2024.

  2. Y. Liu, W. Guo, Y. Jiang and M. Zhang, Non-oscillatory entropy stable DG schemes for hyperbolic conservation law, submitted, 2024.