Articles

• HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs

  Shijun Liao

  • Preview
  • Full PDF

  5604 552 Pages:1-10

• Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

  Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang

  • Preview
  • Full PDF

  5373 499 Pages:11-36

• The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering

  Lingling Sun, Hai Bi, Yidu Yang

  • Preview
  • Full PDF

  5395 427 Pages:37-66

• Numerical Investigation of Dynamics Stall on Vertical Axis Wind Turbine

  Ao Zhang, Haocheng Yu, Jingzhou Zeng, Wei Zhao, Hao Wen, Jianguo Zheng

  • Preview
  • Full PDF

  5488 508 Pages:67-92

• Inexact Iterative WYD Method for Eigenvalue Problems

  Fangyi Zheng, Jianyang Luo, Shuli Sun

  • Preview
  • Full PDF

  5268 435 Pages:93-108

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  • Preview
  • Full PDF

  5351 452 Pages:109-133

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  • Preview
  • Full PDF

  5382 451 Pages:134-169

• A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains

  Kejia Pan, Pengde Wang, Jinxuan Wang, Xiaoxin Wu

  • Preview
  • Full PDF

  5278 461 Pages:170-188

• An Inverse Problem with the Final Overdetermination for the Mean Field Games System

  Michael V. Klibanov, Jingzhi Li, Hongyu Liu

  • Preview
  • Full PDF

  5238 490 Pages:189-221

• Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems

  Fei Li, Jingang Liu, Nianyu Yi, Liuqiang Zhong

  • Preview
  • Full PDF

  5276 446 Pages:222-241

• The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities

  Shuzhi Liu, Qinglong Zhang

  • Preview
  • Full PDF

  5183 466 Pages:242-266

• An Effective $\ell_p$-Nonconvex Regularization Method for Image Smoothing

  Biao Fang, Xiao-Guang Lv, Guo-Liang Zhu, Le Jiang, Jia-Qi Mei

  • Preview
  • Full PDF

  4871 452 Pages:267-295

• Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

  Zhiyong Liu, Qiuyan Xu

  • Preview
  • Full PDF

  4926 426 Pages:296-321

• High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

  Bo Li, Weidong Zhao

  • Preview
  • Full PDF

  4847 449 Pages:322-347

• Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

  Shicheng Liu, Xiangyun Meng, Qilong Zhai

  • Preview
  • Full PDF

  4980 449 Pages:348-368