GeometricBase

AbstractScalarVariable{T} is a wrapper around a zero-dimensional AbstractArray{T,0} that provides context for the nature of the variable, e.g., time.

AbstractStateVariable{T,N,AT} is a wrapper around a AT <: AbstractArray{T,N} that provides context for the nature of the variable, e.g., a state or a vector field.

AbstractVariable{T,N} is a wrapper around a AbstractArray{T,N} that provides context for the nature of the variable.

GeometricData is a wrapper for different types of data sets such as the solution of a Lagrangian or Hamiltonian system.

NullInvariants is an empty struct that is used to indicate than an equation does not have invariants.

NullParameters is an empty struct that is used to indicate than an equation does not have parameters.

NullPeriodicity is an empty struct that is used to indicate than an equation does not have periodic solution components.

StateVector{DT,VT} is a vector of StateVariables, where DT is the datatype of the state and VT is the type of the vector.

integrate(problem, method; kwargs...)

Integrate a problem with method and return the solution.

Solve one time step:

integrate!(integrator)

The vectorfield function returns a datastructure that stores the vectorfield for an AbstractStateVariable s that holds the state of a system. By default it returns a VectorfieldVariable that wraps zero(parent(s)), i.e., the same kind of array as the state variable, but custom methods can be implemented in order to account for more specific use cases, e.g., when s also contains constant fields that should not be present in the vector field.

zerovector(X::StateVector) returns a new StateVector with zero applied all elements of X.