SINDy-BVP: Sparse identification of nonlinear dynamics for boundary value problems
Daniel E. Shea, Steven L. Brunton, J. Nathan Kutz
Abstract
This article develops a data-driven model discovery and system identification technique for spatially-dependent boundary value problems to infer both the operator and spatially-dependent parameters that describe the heterogenous, physical quantities of a system.
Topics & Concepts
Identification (biology)Nonlinear systemSystem identificationBoundary value problemApplied mathematicsMathematicsOperator (biology)Computer scienceAlgorithmBoundary (topology)Parameter identification problemValue (mathematics)Mathematical optimizationNonlinear system identificationEstimation theoryNonlinear dynamical systemsTerm (time)Noisy dataInverse problemLinear systemDynamics (music)Model Reduction and Neural NetworksControl Systems and IdentificationControl and Stability of Dynamical Systems