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High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes
Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang
2020-01-17
DOI:10.4208/aamm.OA-2017-0243
49444
3429
pp. 436-479
An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations
Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
2022-08-08
DOI:10.4208/aamm.OA-2021-0153
275934
3794
pp. 1400-1432
A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography
Nouh Izem, Mohammed Seaid
2022-02-25
DOI:10.4208/aamm.OA-2020-0364
47635
3331
pp. 725-758
A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes
Shengzhu Cui, Zhanjing Tao, Jun Zhu
2022-06-13
DOI:10.4208/aamm.OA-2021-0095
43647
3621
pp. 1059-1086
A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids
Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang
2020-12-21
DOI:10.4208/aamm.OA-2020-0255
47078
3352
pp. 671-700
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