Articles

• Positivity-Preserving High-Order Schemes for Conservation Laws on Arbitrarily Distributed Point Clouds with a Simple WENO Limiter

  Jie Du, Chi-Wang Shu

  • Preview
  • Full PDF

  43624 4152 Pages:1-25

• The $h$-$p$ Version of the Continuous Petrov-Galerkin Method for Nonlinear Volterra Functional Integro-Differential Equations with Vanishing Delays

  Lijun Yi, Benqi Guo

  • Preview
  • Full PDF

  34125 3887 Pages:26-47

• Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents

  Huili Zhang, Tao Lin, Yanping Lin

  • Preview
  • Full PDF

  33827 3885 Pages:48-73

• Modeling and Simulation of the Atmospheric Dust Dynamic: Fractional Calculus and Cloud Computing

  Luis Vázquez, M. Pilar Velasco, José Luis Vázquez-Poletti, Ignacio M. Llorente, David Usero, Salvador Jiménez

  • Preview
  • Full PDF

  34256 3929 Pages:74-85

• A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM

  Jianguo Huang, Xuehai Huang

  • Preview
  • Full PDF

  33519 3873 Pages:86-101

• The Singularity-Separated Method for the Singular Perturbation Problems in 1-D

  Chuanmiao Chen, Jing Yang

  • Preview
  • Full PDF

  33480 3930 Pages:102-110

• Spectral Element Methods on Hybrid Triangular and Quadrilateral Meshes

  Jingliang Li, Heping Ma, Li-Lian Wang, Hua Wu

  • Preview
  • Full PDF

  33573 3971 Pages:111-133

• An Asymptotic Preserving Implicit Unified Gas Kinetic Scheme for Frequency-Dependent Radiative Transfer Equations

  Wenjun Sun, Song Jiang, Kun Xu

  • Preview
  • Full PDF

  42164 3954 Pages:134-153

• A Fixed-Point Proximity Approach to Solving the Support Vector Regression with the Group Lasso Regularization

  Zheng Li, Guohui Song, Yuesheng Xu

  • Preview
  • Full PDF

  34244 4053 Pages:154-169

• A Fractional Stokes Equation and Its Spectral Approximation

  Shimin Lin, Mejdi Azaïez, Chuanju Xu

  • Preview
  • Full PDF

  33443 4059 Pages:170-192

• Asymptotics of Orthogonal Polynomials

  R. Wong

  • Preview
  • Full PDF

  32685 3740 Pages:193-212

• Uniform $L^p$-Bound of the Allen-Cahn Equation and Its Numerical Discretization

  Jiang Yang, Qiang Du, Wei Zhang

  • Preview
  • Full PDF

  33564 3857 Pages:213-227 Open-access

• Conforming Mixed Triangular Prism Elements for the Linear Elasticity Problem

  Jun Hu, Rui Ma

  • Preview
  • Full PDF

  32189 3669 Pages:228-242

• Fully Diagonalized Chebyshev Spectral Methods for Second and Fourth Order Elliptic Boundary Value Problems

  Jing-Min Li, Zhong-Qing Wang, Huiyuan Li

  • Preview
  • Full PDF

  31882 3785 Pages:243-259

• Fully Computable Error Bounds for Eigenvalue Problem

  Qichen Hong, Hehu Xie, Meiling Yue, Ning Zhang

  • Preview
  • Full PDF

  32428 3895 Pages:260-276

• Preconditioning Techniques in Chebyshev Collocation Method for Elliptic Equations

  Zhi-Wei Fang, Jie Shen, Hai-Wei Sun

  • Preview
  • Full PDF

  32610 3715 Pages:277-287

• Superconvergence of a Quadratic Finite Element Method on Adaptively Refined Anisotropic Meshes

  Weiming Cao

  • Preview
  • Full PDF

  32253 3750 Pages:288-306