High Order Strong Stability Preserving Time Discretizations
By Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu. Journal of Scientific Computing, 2009
402 citations recorded by the source corpus.
Subfields: Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/c4611a70e1bc4c98a98f6b54c08b420499e03a83
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Chi-Wang Shu
- David Radice
- Mengping Zhang
- Luciano Rezzolla
- Lilia Krivodonova
- Albino Perego
- Sebastiano Bernuzzi
- Ruibin Qin
In Numerical Analysis
- Chi-Wang Shu
- Mengping Zhang
- Lilia Krivodonova
- Ruibin Qin
- David Radice
- Luciano Rezzolla
- Jean-Luc Guermond
- Bojan Popov
Citations in the corpus
- Binary Neutron Star Mergers: Mass Ejection, Electromagnetic Counterparts, and Nucleosynthesis (2018, methodology): “We adopt the optimal strongly stability-preserving third-order Runge–Kutta scheme (Gottlieb et al. 2008) as the time integrator.”
- An analysis of the spectrum of the discontinuous Galerkin method (2013, methodology): “In recent years, the DGM has been used with a variety of explicit time integrat ion schemes, such as AdamsBashforth [8], strong-stability preserving schemes [9], l ow storage RK schemes [13].”
- On maximum-principle-satisfying high order schemes for scalar conservation laws (2010, neutral): “For more details, see [25] [23] [7] [6].”
- Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems (2018, methodology): “This section is meant to be a brief overview of SSP methods; we refer the reader to Ferracina and Spijker [12], Higueras [27], Gottlieb et al. [16] for more detailed reviews.”
- THC: a new high-order finite-difference high-resolution shock-capturing code for special-relativistic hydrodynamics (2012, methodology): “We use the method of lines to evolve (3) using a third-order strong stability-preserving Runge-Kutta (SSP-RK) scheme (Gottlieb et al. 2009).”
- On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes (2011, methodology): “For more options of time discretization techniques, with improvements in accuracy or efficiency over the third order version used in this paper, we refer to [4].”