Parallel, adaptive finite element methods for conservation laws

A massively parallel adaptive finite element method with dynamic load balancing

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Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

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

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Instrumentation database system for performance analysis of parallel scientific applications

Parallel Computing

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

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Nodal high-order methods on unstructured grids

Journal of Computational Physics

Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. one space dimension

Journal of Computational Physics

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

Journal of Computational Physics

Variable-order finite elements and positivity preservation for hyperbolic PDEs

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

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

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

Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

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Resource-Aware Scientific Computation on a Heterogeneous Cluster

Computing in Science and Engineering

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

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Discontinuous Galerkin Methods Applied to Shock and Blast Problems

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Preserving positivity for hyperboilic PDEs using variable-order finite elements with bounded polynomials

Applied Numerical Mathematics - Adaptive methods for partial differential equations and large-scale computation

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

Journal of Scientific Computing

Discontinuous Galerkin methods applied to shock and blast problems

Journal of Scientific Computing

A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids

Journal of Computational Physics

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

Journal of Computational Physics

Spatial and spectral superconvergence of discontinuous Galerkin method for hyperbolic problems

Journal of Computational and Applied Mathematics

Short Note: A limiter for PPM that preserves accuracy at smooth extrema

Journal of Computational Physics

Extrapolation discontinuous Galerkin method for ultraparabolic equations

Journal of Computational and Applied Mathematics

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

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

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A Performance Comparison of Continuous and Discontinuous Finite Element Shallow Water Models

Journal of Scientific Computing

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

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A Parallel High-Order Discontinuous Galerkin Shallow Water Model

ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I

High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations

Journal of Computational Physics

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

Journal of Computational Physics

Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials

Applied Numerical Mathematics - Adaptive methods for partial differential equations and large-scale computation

A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods

Journal of Computational and Applied Mathematics

Hybrid weighted essentially non-oscillatory schemes with different indicators

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A Runge-Kutta discontinuous Galerkin approach to solve reactive flows: The hyperbolic operator

Journal of Computational Physics

A Runge-Kutta discontinuous Galerkin approach to solve reactive flows: The hyperbolic operator

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

Applied Numerical Mathematics

Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities

SIAM Journal on Numerical Analysis

An adaptive extrapolation discontinuous Galerkin method for the valuation of Asian options

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

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

Journal of Computational Physics

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

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Hierarchical partitioning and dynamic load balancing for scientific computation

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing

The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids

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

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

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

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

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Fast time implicit-explicit discontinuous Galerkin method for the compressible Navier-Stokes equations

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A Superconvergent Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes

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

Advances in Computational Mathematics

Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods

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

Computers & Mathematics with Applications