Articles

• Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

  Hailing Xuan, Xiaoliang Cheng, Weimin Han, Qichang Xiao

  • Preview
  • Full PDF

  57776 3128 Pages:569-594

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  • Preview
  • Full PDF

  44144 2926 Pages:595-619

• A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

  Hao Liu, Shingyu Leung

  • Preview
  • Full PDF

  43839 2889 Pages:620-643

• Effect of Space Dimensions on Equilibrium Solutions of Cahn-Hilliard and Conservative Allen-Cahn Equations

  Hyun Geun Lee, Junxiang Yang, Junseok Kim, Jintae Park

  • Preview
  • Full PDF

  45487 2831 Pages:644-664

• Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

  Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma

  • Preview
  • Full PDF

  43860 2854 Pages:665-688

• An Improved Hybrid Adjoint Method in External Aerodynamics Using Variational Technique for the Boundary Integral Based Optimal Objective Function Gradient

  Asma Farooqi, Riaz Ahmad, Zhenping Feng

  • Preview
  • Full PDF

  43884 2780 Pages:689-718

• PPIFE Method with Non-Homogeneous Flux Jump Conditions and Its Efficient Numerical Solver for Elliptic Optimal Control Problems with Interfaces

  Quanxiang Wang, Zhiyue Zhang, Enlai Zheng

  • Preview
  • Full PDF

  44759 2817 Pages:719-744

• Parallel Smoothed Aggregation Multilevel Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problems

  Shang-Rong Cai, Jun-Yi Xiao, Yu-Chieh Tseng, Feng-Nan Hwang

  • Preview
  • Full PDF

  43824 2738 Pages:745-769

• Superconvergence of the Composite Rectangle Rule for Computing Hypersingular Integral on Interval

  Jin Li, Yongling Cheng, Zongcheng Li

  • Preview
  • Full PDF

  45621 2703 Pages:770-787

• Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

  Liping Gao, Xiaorui Sang, Rengang Shi

  • Preview
  • Full PDF

  45859 2862 Pages:788-813

• A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

  Bin Wang, Xinyuan Wu, Yonglei Fang

  • Preview
  • Full PDF

  44089 2686 Pages:814-844