1. Preface to Focused Issue on Discontinuous Galerkin Methods

   • Jan S. Hesthaven
   • Jennifer Ryan
   • Zhimin Zhang

   Preface 08 October 2021 Pages: 1 - 2

2. Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations

   • Xiaofeng Cai
   • Wei Guo
   • Jing-Mei Qiu

   Original Paper 14 September 2020 Pages: 3 - 33

   

3. Conservative Discontinuous Galerkin/Hermite Spectral Method for the Vlasov–Poisson System

   • Francis Filbet
   • Tao Xiong

   Original Paper 11 September 2020 Pages: 34 - 59

   

4. An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schrödinger Equations

   • Zhanjing Tao
   • Juntao Huang
   • Yingda Cheng

   Original Paper 25 January 2021 Pages: 60 - 83

   

5. A Local Discontinuous Galerkin Method with Generalized Alternating Fluxes for 2D Nonlinear Schrödinger Equations

   • Hongjuan Zhang
   • Boying Wu
   • Xiong Meng

   Original Paper 13 March 2021 Pages: 84 - 107

6. A Wavelet-Free Approach for Multiresolution-Based Grid Adaptation for Conservation Laws

   • Nils Gerhard
   • Siegfried Müller
   • Aleksey Sikstel

   Original Paper Open access 19 April 2021 Pages: 108 - 142

   

7. Goal-Oriented Anisotropic hp-Adaptive Discontinuous Galerkin Method for the Euler Equations

   • Vít Dolejší
   • Filip Roskovec

   Original Paper 26 April 2021 Pages: 143 - 179

   

8. Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations

   • Yuqing Miao
   • Jue Yan
   • Xinghui Zhong

   Original Paper 02 March 2021 Pages: 180 - 204

   

9. A Uniformly Robust Staggered DG Method for the Unsteady Darcy-Forchheimer-Brinkman Problem

   • Lina Zhao
   • Ming Fai Lam
   • Eric Chung

   Original Paper 15 July 2021 Pages: 205 - 226

   

10. Local Discontinuous Galerkin Methods with Novel Basis for Fractional Diffusion Equations with Non-smooth Solutions

    • Liyao Lyu
    • Zheng Chen

    Original Paper 09 June 2021 Pages: 227 - 249

11. Negative Norm Estimates for Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Nonlinear Hyperbolic Equations

    • Qi Tao
    • Yan Xu
    • Xiaozhou Li

    Original Paper 25 February 2021 Pages: 250 - 270

    

12. The Direct Discontinuous Galerkin Methods with Implicit-Explicit Runge-Kutta Time Marching for Linear Convection-Diffusion Problems

    • Haijin Wang
    • Qiang Zhang

    Original Paper 21 April 2021 Pages: 271 - 292

    

13. A Compatible Embedded-Hybridized Discontinuous Galerkin Method for the Stokes-Darcy-Transport Problem

    • Aycil Cesmelioglu
    • Sander Rhebergen

    Original Paper 14 July 2021 Pages: 293 - 318

    

14. Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Method with Upwind-Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation

    • Yuan Xu
    • Qiang Zhang

    Original Paper 19 August 2021 Pages: 319 - 352

15. Maximum-Principle-Preserving Local Discontinuous Galerkin Methods for Allen-Cahn Equations

    • Jie Du
    • Eric Chung
    • Yang Yang

    Original Paper 22 April 2021 Pages: 353 - 379