OperatorTemplate

class OperatorTemplate

Template for general operators \(\Ophat_{\ell}(\qhat,\u).\)

In this package, an “operator” is a function \(\Ophat_{\ell}: \RR^r \times \RR^m \to \RR^r\) that acts on a state vector \(\qhat\in\RR^r\) and (optionally) an input vector \(\u\in\RR^m\).

Models are defined as the sum of several operators, for example, an opinf.models.ContinuousModel object represents a system of ordinary differential equations:

\[\ddt\qhat(t) = \sum_{\ell=1}^{n_\textrm{terms}}\Ophat_{\ell}(\qhat(t),\u(t)).\]

Notes

This class can be used for custom nonparametric model terms that are not learnable with Operator Inference. For parametric model terms, see ParametricOperatorTemplate. For model terms that can be learned with Operator Inference, see OpInfOperator or ParametricOpInfOperator.

Properties:

state_dimension

Dimension \(r\) of the state \(\qhat\) that the operator acts on.

Methods:

apply	Apply the operator mapping to the given state / input.
copy	Return a copy of the operator using copy.deepcopy().
galerkin	Get the (Petrov-)Galerkin projection of this operator.
jacobian	Construct the state Jacobian of the operator.
load	Load an operator from an HDF5 file.
save	Save the operator to an HDF5 file.
verify	Verify consistency between dimension properties and required methods.