TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems

A massively parallel adaptive finite element method with dynamic load balancing

Proceedings of the 1993 ACM/IEEE conference on Supercomputing

Dispersion Analysis for Discontinuous Spectral Element Methods

Journal of Scientific Computing

A Local Extrapolation Method for Hyperbolic Conservation Laws. I. The ENO Underlying Schemes

Journal of Scientific Computing

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing

Numerical Comparison of WENO Finite Volume and Runge–Kutta Discontinuous Galerkin Methods

Journal of Scientific Computing

Spectral (finite) volume method for conservation laws on unstructured grids: basic formulation

Journal of Computational Physics

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems

Mathematics of Computation

Aspects of discontinuous Galerkin methods for hyperbolic conservation laws

Finite Elements in Analysis and Design - Robert J. Melosh medal competition

Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives

Journal of Scientific Computing

Spectral (finite) volume method for conservation laws on unstructured grids: II. Extension to two-dimensional scalar equation

Journal of Computational Physics

Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids III: One Dimensional Systems and Partition Optimization

Journal of Scientific Computing

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case

Journal of Computational Physics

Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Spectral (finite) volume method for conservation laws on unstructured grids IV: extension to two-dimensional systems

Journal of Computational Physics

Superconvergence of Discontinuous Finite Element Solutions for Transient Convection--diffusion Problems

Journal of Scientific Computing

Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Journal of Scientific Computing

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Journal of Scientific Computing

Local discontinuous Galerkin methods for nonlinear Schrödinger equations

Journal of Computational Physics

Superconvergence of discontinuous finite element solutions for transient convection-diffusion problems

Journal of Scientific Computing

Flooding and drying in discontinuous Galerkin finite-element discretizations of shallow-water equations: part 1: One dimension

Journal of Scientific Computing

Locally divergence-free discontinuous Galerkin methods for MHD equations

Journal of Scientific Computing

Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems

Journal of Computational Physics

A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes

Journal of Computational Physics

Building Blocks for Arbitrary High Order Discontinuous Galerkin Schemes

Journal of Scientific Computing

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of Computational Physics

Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws

Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ

Spectral (finite) volume method for conservation laws on unstructured grids VI: Extension to viscous flow

Journal of Computational Physics

Spectral difference method for unstructured grids I: basic formulation

Journal of Computational Physics

Discontinuous Galerkin method based on non-polynomial approximation spaces

Journal of Computational Physics

Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case

Journal of Computational Physics

CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation

Journal of Computational Physics

A Numerical Comparison of the Lax-Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes

Journal of Scientific Computing

A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations

Journal of Computational Physics

Solutions of Multi-dimensional Hyperbolic Systems of Conservation Laws by Square Entropy Condition Satisfying Discontinuous Galerkin Method

Journal of Scientific Computing

Local discontinuous Galerkin methods for moment models in device simulations: Performance assessment and two-dimensional results

Applied Numerical Mathematics

A Runge-Kutta discontinuous Galerkin method for viscous flow equations

Journal of Computational Physics

A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations

Journal of Computational Physics

Local discontinuous Galerkin methods for the Cahn-Hilliard type equations

Journal of Computational Physics

Efficient quadrature-free high-order spectral volume method on unstructured grids: Theory and 2D implementation

Journal of Computational Physics

Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes

Journal of Computational Physics

A DGBGK scheme based on WENO limiters for viscous and inviscid flows

Journal of Computational Physics

A second order discontinuous Galerkin fast sweeping method for Eikonal equations

Journal of Computational Physics

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

Journal of Computational Physics

Superconvergence and time evolution of discontinuous Galerkin finite element solutions

Journal of Computational Physics

On the Stability and Accuracy of the Spectral Difference Method

Journal of Scientific Computing

Superconvergence of discontinuous Galerkin methods for hyperbolic systems

Journal of Computational and Applied Mathematics

One-Sided Smoothness-Increasing Accuracy-Conserving Filtering for Enhanced Streamline Integration through Discontinuous Fields

Journal of Scientific Computing

Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method

Journal of Scientific Computing

Polymorphic nodal elements and their application in discontinuous Galerkin methods

Journal of Computational Physics

Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells

Journal of Computational Physics

High order multi-moment constrained finite volume method. Part I: Basic formulation

Journal of Computational Physics

Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes

Journal of Scientific Computing

Superconvergence of local discontinuous Galerkin methods for one-dimensional convection-diffusion equations

Computers and Structures

Application of Discontinuous Galerkin Methods for Reaction-Diffusion Systems in Developmental Biology

Journal of Scientific Computing

Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs

Journal of Scientific Computing

Stable Interface Conditions for Discontinuous Galerkin Approximations of Navier-Stokes Equations

Journal of Scientific Computing

A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids

Journal of Computational Physics

Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case

Journal of Computational Physics

Local derivative post-processing for the discontinuous Galerkin method

Journal of Computational Physics

Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws

Applied Numerical Mathematics

Implicit LU-SGS algorithm for high-order methods on unstructured grid with p-multigrid strategy for solving the steady Navier-Stokes equations

Journal of Computational Physics

On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics

Journal of Computational Physics

Local discontinuous Galerkin methods for the generalized Zakharov system

Journal of Computational Physics

Shock capturing with PDE-based artificial viscosity for DGFEM: Part I. Formulation

Journal of Computational Physics

A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid

Journal of Computational Physics

An implicit high-order spectral difference approach for large eddy simulation

Journal of Computational Physics

Hybrid weighted essentially non-oscillatory schemes with different indicators

Journal of Computational Physics

A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations

Journal of Scientific Computing

Quantification of Errors Introduced in the Numerical Approximation and Implementation of Smoothness-Increasing Accuracy Conserving (SIAC) Filtering of Discontinuous Galerkin (DG) Fields

Journal of Scientific Computing

A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy

Journal of Scientific Computing

An efficient local time-stepping scheme for solution of nonlinear conservation laws

Journal of Computational Physics

An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method

Journal of Computational Physics

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Journal of Computational Physics

A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations

Journal of Computational Physics

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

Journal of Computational Physics

RKDG methods with WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations

Applied Numerical Mathematics

A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions

Journal of Computational Physics

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

SIAM Journal on Numerical Analysis

Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

SIAM Journal on Numerical Analysis

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations

Journal of Scientific Computing

DGM-FD: A finite difference scheme based on the discontinuous Galerkin method applied to wave propagation

Journal of Computational Physics

A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations

Journal of Computational Physics

Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws

Journal of Computational Physics

Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system

Journal of Computational Physics

A discontinuous Galerkin method for two-dimensional shock wave modeling

Modelling and Simulation in Engineering

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

Journal of Computational Physics

Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems

SIAM Journal on Numerical Analysis

Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions

SIAM Journal on Scientific Computing

A class of hybrid DG/FV methods for conservation laws I: Basic formulation and one-dimensional systems

Journal of Computational Physics

A class of hybrid DG/FV methods for conservation laws II: Two-dimensional cases

Journal of Computational Physics

A discontinuous Galerkin method for the Vlasov-Poisson system

Journal of Computational Physics

Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Journal of Computational Physics

Runge-Kutta discontinuous Galerkin method for the approximation of Baer and Nunziato type multiphase models

Journal of Computational Physics

Optimal Error Estimates of the Local Discontinuous Galerkin Method for Surface Diffusion of Graphs on Cartesian Meshes

Journal of Scientific Computing

A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements

Journal of Scientific Computing

A Fully-Discrete Local Discontinuous Galerkin Method for Convection-Dominated Sobolev Equation

Journal of Scientific Computing

Efficient Implementation of Smoothness-Increasing Accuracy-Conserving (SIAC) Filters for Discontinuous Galerkin Solutions

Journal of Scientific Computing

A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer

Journal of Computational Physics

Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

SIAM Journal on Numerical Analysis

Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems

SIAM Journal on Scientific Computing

Alternating Evolution Schemes for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing

A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods

Journal of Computational Physics

Discontinuous Galerkin method for Navier-Stokes equations using kinetic flux vector splitting

Journal of Computational Physics

Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation

Journal of Computational Physics

A hybrid mixed method for the compressible Navier-Stokes equations

Journal of Computational Physics

A uniformly second order fast sweeping method for eikonal equations

Journal of Computational Physics

WENO Schemes and Their Application as Limiters for RKDG Methods Based on Trigonometric Approximation Spaces

Journal of Scientific Computing

Analysis for one-dimensional time-fractional Tricomi-type equations by LDG methods

Numerical Algorithms

A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect

Journal of Computational Physics

Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics

Journal of Computational Physics

Study of conservation and recurrence of Runge---Kutta discontinuous Galerkin schemes for Vlasov---Poisson systems

Journal of Scientific Computing

Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations

Journal of Computational Physics

Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation

Journal of Computational and Applied Mathematics

A Superconvergent Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes

Journal of Scientific Computing

An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws

Advances in Computational Mathematics

Asymptotically exact discontinuous Galerkin error estimates for linear symmetric hyperbolic systems

Applied Numerical Mathematics

High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows

Journal of Computational Physics

A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar

Journal of Computational Physics

Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations

Journal of Computational Physics

On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods

Journal of Computational Physics

Visualization of large-scale structures in spatially developing compressible mixing layers

Journal of Visualization

Superconvergence and a posteriori error estimates for the LDG method for convection-diffusion problems in one space dimension

Computers & Mathematics with Applications

An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system

Journal of Computational Physics