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abstract type AbstractManifoldDiffEqAlgorithm end

A subtype of OrdinaryDiffEqAlgorithm for manifold-aware algorithms.

struct ManifoldInterpolationData end

Inspired by OrdinaryDiffEq.InterpolationData. The main difference is using on-manifold interpolation instead of the Euclidean one.

AbstractManifoldDiffEqAdaptiveAlgorithm <: AbstractManifoldDiffEqAlgorithm

An abstract subtype of AbstractManifoldDiffEqAlgorithm for adaptive algorithms. This is the manifold-aware analogue of OrdinaryDiffEqAdaptiveAlgorithm.

struct ManifoldODESolution{T} end

Counterpart of SciMLBase.ODESolution. It doesn't use the N parameter (because it is not a generic manifold concept) and fields u_analytic, errors, alg_choice, original, tslocation and resid (because we don't use them currently in ManifoldDiffEq.jl).

Type parameter T denotes scalar floating point type of the solution

Fields:

• u: the representation of the ODE solution. Uses a nested power manifold representation.
• t: time points at which values in u were calculated.
• k: the representation of the f function evaluations at time points k. Uses a nested power manifold representation.
• prob: original problem that was solved.
• alg: AbstractManifoldDiffEqAlgorithm used to obtain the solution.
• interp ManifoldInterpolationData. It is used for calculating solution values at times t other then the ones at which it was saved.
• dense: true if ODE solution is saved at every step and false otherwise.
• stats: DEStats of the solver
• retcode: ReturnCode of the solution.