https://www.springer.com/journal/42967

Preface to Focused Issue on Discontinuous Galerkin Methods
Jan S. Hesthaven · Jennifer Ryan · Chi-Wang Shu· Jaap van der Vegt · Yan Xu · Qiang Zhang · Zhimin Zhang
https://link.springer.com/article/10.1007/s42967-021-00170-1

Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations
Xiaofeng Cai · Wei Guo · JingMei Qiu
https://link.springer.com/article/10.1007/s42967-020-00088-0

Conservative Discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System
Francis Filbet · Tao Xiong
https://link.springer.com/article/10.1007/s42967-020-00089-z

An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schrödinger Equations
Zhanjing Tao · Juntao Huang · Yuan Liu · Wei Guo · Yingda Cheng
https://link.springer.com/article/10.1007/s42967-020-00096-0

A Local Discontinuous Galerkin Method with Generalized Alternating Fluxes for 2D Nonlinear Schrödinger Equations
Hongjuan Zhang · Boying Wu · Xiong Meng
https://link.springer.com/article/10.1007/s42967-020-00100-7

A Wavelet-Free Approach for Multiresolution-Based Grid Adaptation for Conservation Laws
Nils Gerhard · Siegfried Müller · Aleksey Sikstel
https://link.springer.com/article/10.1007/s42967-020-00101-6

Goal-Oriented Anisotropic $hp$-Adaptive Discontinuous Galerkin Method for the Euler Equations
Vít Dolejší · Filip Roskovec
https://link.springer.com/article/10.1007/s42967-020-00102-5

Superconvergence Study of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations
Yuqing Miao · Jue Yan · Xinghui Zhong
https://link.springer.com/article/10.1007/s42967-020-00107-0

A Uniformly Robust Staggered DG Method for the Unsteady Darcy-Forchheimer-Brinkman Problem
Lina Zhao · Ming Fai Lam · Eric Chung
https://link.springer.com/article/10.1007/s42967-020-00106-1

Local Discontinuous Galerkin Methods with Novel Basis for Fractional Diffusion Equations with Non-smooth Solutions
Liyao Lyu · Zheng Chen
https://link.springer.com/article/10.1007/s42967-020-00104-3

Negative Norm Estimates for Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Nonlinear Hyperbolic Equations
Qi Tao · Yan Xu · Xiaozhou Li
https://link.springer.com/article/10.1007/s42967-020-00108-z

The Direct Discontinuous Galerkin Methods with Implicit-Explicit Runge-Kutta Time Marching for Linear Convection-Diffusion Problems
Haijin Wang · Qiang Zhang
https://link.springer.com/article/10.1007/s42967-020-00114-1

A Compatible Embedded-Hybridized Discontinuous Galerkin Method for the Stokes-Darcy-Transport Problem
Aycil Cesmelioglu · Sander Rhebergen
https://link.springer.com/article/10.1007/s42967-020-00115-0

Superconvergence Analysis of the Runge Kutta Discontinuous Galerkin Method with Upwind?Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation
Yuan Xu · Qiang Zhang
https://link.springer.com/article/10.1007/s42967-020-00116-z

Maximum-Principle-Preserving Local Discontinuous Galerkin Methods for Allen-Cahn Equations
Jie Du · Eric Chung · Yang Yang
https://link.springer.com/article/10.1007/s42967-020-00118-x