Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations

Authors:
Ethan J. Kubatko;Joannes J. Westerink;Clint Dawson
Affiliations:
Department of Civil Engineering and Geological Sciences, University of Notre Dame, Notre Dame, IN 46556, United States;Department of Civil Engineering and Geological Sciences, University of Notre Dame, Notre Dame, IN 46556, United States;Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, United States
Venue:
Journal of Computational Physics
Year:
2007

Citing 13
Cited 6

The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods

The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
Contractivity of Runge-Kutta methods

BIT
Total variation diminishing Runge-Kutta schemes

Mathematics of Computation
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing
A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods

SIAM Journal on Numerical Analysis
Strong Stability-Preserving High-Order Time Discretization Methods

SIAM Review
Two Barriers on Strong-Stability-Preserving Time Discretization Methods

Journal of Scientific Computing
Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods

Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II
On Strong Stability Preserving Time Discretization Methods

Journal of Scientific Computing
High-Order Strong-Stability-Preserving Runge-Kutta Methods with Downwind-Biased Spatial Discretizations

SIAM Journal on Numerical Analysis
On High Order Strong Stability Preserving Runge---Kutta and Multi Step Time Discretizations

Journal of Scientific Computing
Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations

Journal of Scientific Computing

Stability analysis for linear discretisations of the advection equation with Runge-Kutta time integration

Journal of Computational Physics
Time step restrictions for Runge-Kutta discontinuous Galerkin methods on triangular grids

Journal of Computational Physics
High Order Strong Stability Preserving Time Discretizations

Journal of Scientific Computing
Scalability of an Unstructured Grid Continuous Galerkin Based Hurricane Storm Surge Model

Journal of Scientific Computing
CFL Conditions for Runge-Kutta discontinuous Galerkin methods on triangular grids

Journal of Computational Physics
Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

Journal of Computational Physics

Quantified Score

Hi-index	31.47

Visualization

Abstract

Discrete Diffusion Monte Carlo (DDMC) is a technique for increasing the efficiency of Monte Carlo particle-transport simulations in diffusive media. If standard Monte Carlo is used in such media, particle histories will consist of many small steps, resulting ...