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• A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

  Chao Zhang, Qibing Li, Zhihui Li

  2026-04-03

  148 29 Pages:1620-1643

• Gas-Kinetic Unified Algorithm for Multi-Component Monatomic Gas Mixture

  Fan Li, Zhi-Hui Li

  2026-05-01

  146 35 Pages:1454-1478

• A Complete Error Analysis of PINNs for Elliptic Equations Using Projected Stochastic Gradient Descent

  Yuling Jiao, Ruoxuan Li, Defeng Sun, Peiying Wu, Jerry Zhijian Yang

  2026-04-10

  17 5 Pages:27-60

• A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

  Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang

  2026-04-10

  18 13 Pages:263-296

• Multiscale Simulation of Rarefied Gas Flows in Simplified Divertor Tokamak Test Facility Particle Exhaust

  Wei Li, Yanbing Zhang, Jianan Zeng, Lei Wu

  2026-05-01

  160 37 Pages:1536-1558

• Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

  Yixiang Dai, Yunzhang Li, Jing Zhang

  2026-01-18

  759 119 Pages:1299-1331

• The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

  Yujing Yan, Huangxin Chen, Xiaoli Li

  2026-01-18

  798 170 Pages:1332-1362