Discrete Solvers
Recommended Methods
The implementation for solving discrete equations is the FunctionMap
algorithm in OrdinaryDiffEq.jl. It allows the full common interface (including events/callbacks) to solve function maps, along with everything else like plot recipes, while completely ignoring the ODE functionality related to continuous equations (except for a tiny bit of initialization). However, the SimpleFunctionMap
from SimpleDiffEq.jl can be more efficient if the mapping function is sufficiently cheap, but it doesn’t have all the extras like callbacks and saving support (but does have an integrator interface).
Full List of Methods
OrdinaryDiffEq.jl
-
FunctionMap
: A basic function map which implements the full common interface.
OrdinaryDiffEq.jl also contains the FunctionMap
algorithm which lets you It has a piecewise constant interpolation and allows for all the callback/event handling capabilities (of course, with rootfind=false
. If a ContinuousCallback
is given, it’s always assumed rootfind=false
).
The constructor is:
FunctionMap()
FunctionMap{scale_by_time}()
Every step is the update
If in addition scale_by_time
is marked true
(default is false), then every step is the update:
Notice that this is the same as updates from the Euler method, except in this case we assume that it’s a discrete change and thus the interpolation is piecewise constant.