Numerical Investigation of Supersonic Channel Flow with Oscillatory Backpressures
Peizhao Sun, Nansheng Liu, Jiming Yang and Xiyun Lu
10.4208/aamm.OA-2018-0095
Adv. Appl. Math. Mech., 11 (2019), pp. 1-23.

Influence of Magnetic Force on the Flow Stability in a Rectangular Duct
Rahman Anisur, Wenqian Xu, Kunhang Li, Hua-Shu Dou, Boo Cheong Khoo and Jie Mao
10.4208/aamm.OA-2018-0142
Adv. Appl. Math. Mech., 11 (2019), pp. 24-37.

Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
Feng Liang, Xiaodong Yang, Wei Zhang, Yingjing Qian and Roderick V. N. Melnik
10.4208/aamm.OA-2018-0064
Adv. Appl. Math. Mech., 11 (2019), pp. 38-52.

A Splitting Method for the Degasperis--Procesi Equation Using an Optimized WENO Scheme and the Fourier 
Pseudospectral Method
Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang and Songhe Song
10.4208/aamm.OA-2018-0054
Adv. Appl. Math. Mech., 11 (2019), pp. 53-71.

An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows
Z. X. Meng, S. Z. Li, K. Peng and W. H. Zhang
10.4208/aamm.OA-2018-0167
Adv. Appl. Math. Mech., 11 (2019), pp. 72-90.

Numerical Investigation into the Air Flow Distributions of the Air Conditioning System in the Modular Data Center
Hao Dong, Ziqiang Qin, Shicheng Liu, Yao Li, Yingying Shen, Haibo Wang, Yitong Zong, Xiaojun Wu and Haiqing Si
10.4208/aamm.OA-2018-0139
Adv. Appl. Math. Mech., 11 (2019), pp. 91-107.

Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of 
Approximate Particular Solution
Yongxing Hong, Jun Lu, Ji Lin and Wen Chen
10.4208/aamm.OA-2018-0026
Adv. Appl. Math. Mech., 11 (2019), pp. 108-131.

Towards an Accurate and Robust Roe-Type Scheme for All Mach Number Flows
Wenjia Xie, Ye Zhang, Qing Chang and Hua Li
10.4208/aamm.OA-2018-0141
Adv. Appl. Math. Mech., 11 (2019), pp. 132-167.

A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery
Di Zhou, Zhiliang Lu and Tongqing Guo
10.4208/aamm.OA-2018-0093
Adv. Appl. Math. Mech., 11 (2019), pp. 168-196.

A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation 
Based on Chebyshev Spectral Collocation Method
Shichao Yi and Hongguang Sun
10.4208/aamm.OA-2018-0045
Adv. Appl. Math. Mech., 11 (2019), pp. 197-215.

A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients
Liqun Wang, Songming Hou, Liwei Shi and Ping Zhang
10.4208/aamm.OA-2018-0099
Adv. Appl. Math. Mech., 11 (2019), pp. 216-240.

Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids
Youai Li
10.4208/aamm.OA-2018-0061
Adv. Appl. Math. Mech., 11 (2019), pp. 241-254.