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- W.S. Don, K.-B. Tian, B.-S. Wang, Affine-Invariant WENO Weights and Operator, J. Comput. Phys., 2021, Under Review.
- P. Li, T. Li, W.S. Don, B.-S. Wang, Scale-invariant multi-resolution alternative WENO scheme for Euler equations, J. Comput. Phys., 2021, Under Review.
- Q. Fu, Z. Gao, Y. Gu, P. Li, High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields, Appl. Numer. Math., 2021, Under Review.
- Y. Gu, D. Luo, Z. Gao, Y. Chen, An Adaptive Moving Mesh Method for the Five-equation Model, 2021, Under Review.
- Y. Wang, B.-S. Wang, L. Ling, W.S. Don, A time-continuous embedding method for scalar hyperbolic conservation laws on one-dimensional manifolds, J. Sci. Comput., 2021, Under Review.
- B.-S. Wang, P. Li, Z. Gao, High order well-balanced and positivity-preserving finite difference alternative WENO scheme with hydrostatic reconstruction for shallow water equations, Advances in Water Resources., 2021, Under Review.
- K.-B. Tian, W.S. Don, B.-S. Wang, High-order weighted essentially non-oscillatory finite difference scheme with adaptive dual order ideal weights for hyperbolic conservation laws, J. Sci. Comput., 2021, Under Review.
- C. Zhang, Z. Gao, S. Ye, P. Li, Edge detectors based on PauTa criterion with application to hybrid compact-WENO finite difference scheme, Adv. Appl. Math. Mech., 2021, Accepted.
- Z. Gao, Y. Lin, X. Sun, X. Zeng, A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with k-nearest neighborhood, J. Comput. Phys., 452, 110907, 2022.