Optimal Strong-Stability-Preserving Runge–Kutta Time Discretizations for Discontinuous Galerkin Methods

Ethan J. Kubatko; Benjamin A. Yeager; David I. Ketcheson

doi:10.1007/s10915-013-9796-7

Optimal Strong-Stability-Preserving Runge–Kutta Time Discretizations for Discontinuous Galerkin Methods

Journal of Scientific Computing ◽

10.1007/s10915-013-9796-7 ◽

2013 ◽

Vol 60 (2) ◽

pp. 313-344 ◽

Cited By ~ 26

Author(s):

Ethan J. Kubatko ◽

Benjamin A. Yeager ◽

David I. Ketcheson

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Strong Stability ◽

Galerkin Methods ◽

Strong Stability Preserving ◽

Runge Kutta

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

Journal of Computational Physics ◽

10.1016/j.jcp.2006.08.005 ◽

2007 ◽

Vol 222 (2) ◽

pp. 832-848 ◽

Cited By ~ 35

Author(s):

Ethan J. Kubatko ◽

Joannes J. Westerink ◽

Clint Dawson

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Strong Stability ◽

Galerkin Methods ◽

Strong Stability Preserving ◽

Runge Kutta

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Time Step Restrictions for Strong-Stability-Preserving Multistep Runge–Kutta Discontinuous Galerkin Methods

Journal of Scientific Computing ◽

10.1007/s10915-021-01635-4 ◽

2021 ◽

Vol 89 (2) ◽

Author(s):

Benjamin Yeager ◽

Ethan Kubatko ◽

Dylan Wood

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Strong Stability ◽

Galerkin Methods ◽

Strong Stability Preserving ◽

Time Step ◽

Runge Kutta

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WEIGHTED NON-OSCILLATORY LIMITERS FOR RUNGE-KUTTA DISCONTINUOUS GALERKIN METHODS

Advances in Computational Fluid Dynamics - Adaptive High-Order Methods in Computational Fluid Dynamics ◽

10.1142/9789814313193_0006 ◽

2011 ◽

pp. 153-184

Author(s):

Jianxian Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Runge Kutta

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Adaptive Runge-Kutta Discontinuous Galerkin Methods with Modified Ghost Fluid Method for Simulating the Compressible Two-Medium Flow

Journal of Mathematical Study ◽

10.4208/jms.v47n3.14.02 ◽

2014 ◽

Vol 47 (3) ◽

pp. 250-273 ◽

Cited By ~ 1

Author(s):

J. Zhu and J. Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Ghost Fluid Method ◽

Medium Flow ◽

Runge Kutta ◽

Modified Ghost Fluid Method

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

Journal of Computational Physics ◽

10.1016/j.jcp.2013.02.018 ◽

2013 ◽

Vol 242 ◽

pp. 138-168 ◽

Cited By ~ 20

Author(s):

Jian Zhao ◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Runge Kutta

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A Compact Subcell WENO Limiting Strategy Using Immediate Neighbors for Runge-Kutta Discontinuous Galerkin Methods for Unstructured Meshes

Journal of Scientific Computing ◽

10.1007/s10915-021-01725-3 ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

S. R. Siva Prasad Kochi ◽

M. Ramakrishna

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unstructured Meshes ◽

Galerkin Methods ◽

Runge Kutta

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Local discontinuous Galerkin methods with explicit Runge-Kutta time marching for nonlinear carburizing model

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4898 ◽

2018 ◽

Vol 41 (12) ◽

pp. 4376-4390 ◽

Cited By ~ 2

Author(s):

Chenghui Xia ◽

Ying Li ◽

Haijin Wang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching ◽

Runge Kutta

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Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2006.6.623 ◽

2006 ◽

Vol 6 (3) ◽

pp. 623-640 ◽

Cited By ~ 20

Author(s):

Sihong Shao ◽

◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Runge Kutta

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High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.03.013 ◽

2020 ◽

Vol 153 ◽

pp. 519-539

Author(s):

Jun Zhu ◽

Chi-Wang Shu ◽

Jianxian Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Triangular Meshes ◽

New Type ◽

Runge Kutta

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Error estimates of Runge–Kutta discontinuous galerkin methods for the Vlasov–Maxwell system

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2014025 ◽

2015 ◽

Vol 49 (1) ◽

pp. 69-99 ◽

Cited By ~ 4

Author(s):

He Yang ◽

Fengyan Li

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Maxwell System ◽

Runge Kutta

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