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pydgq 0.1.2
Integrate first-order ODE systems u’(t) = f(u, t).
The main feature of this library is dG(q), i.e. the
time-discontinuous Galerkin method using a Lobatto basis
(a.k.a. hierarchical polynomial basis).
dG(q) is a very accurate implicit method that often allows
using a rather large timestep. Due to its Galerkin nature,
it also allows inspecting the behavior of the solution
inside the timestep.
Arbitrary q is supported, but often best results are
obtained for q=1 or q=2.
Some classical integrators (RK2, RK3, RK4, IMR, BE)
are also provided for convenience.
The focus is on arbitrary nonlinear problems; all implicit
methods are implemented using fixed-point (Banach/Picard)
iteration.
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