SciML/OrdinaryDiffEq.jl
View on GitHubMore Runge-Kutta Methods for (Hyperbolic) PDEs
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#493 opened on Aug 29, 2018
Hacktoberfesteasyhelp wantednew-algorithm
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Description
Here are some additional articles describing/investigating/developing Runge-Kutta methods, especially for hyperbolic PDEs:
- Higueras, Roldan (2019) #581 #584 and missing the last.
- Conde, Fekete, Shadid (2018) (adaptive) #1283
- Kubatko, Yeager, Ketcheson (2014) #669 #1095 still a few more to do
- Parsani, Ketcheson, Deconinck (2013) #648 #658
- Niegemann, Diehl, Busch (2012), especially Table 3 #611, #614, #616
- Bernardini, Pirozzoli (2009) #600
- Tselios, Simos (2007) #637
- Toulorge, Desmet (2012) #641, #642, #644
- Berland, Bogey, Bailly (2006) #598
- Calvo, Franco, Randez (2004) #607
- Kennedy, Carpenter, Lewis (2000)
- Mead, Renaut (1999)
- Stanescu, Habashi (1998) #596 #1051 (the two step RK methods are left which were moved to https://github.com/SciML/OrdinaryDiffEq.jl/issues/117)
- Hadjimichael, Ketcheson, Lóczi, and Németh (2016) (multistep, adaptive, moved to https://github.com/SciML/OrdinaryDiffEq.jl/issues/945)
These methods do not necessarily have high-priority but may be implemented. There are also many other methods.