Name
Title | ||
|---|---|---|
Identification of Partial Differential Equation Models for Continuous Spatio-Temporal Dynamical Systems |
Abstract | ||
|---|---|---|
The identification of a class of continuous spatio-temporal dynamical systems from observations is presented in this paper. The proposed approach is a combination of implicit Adams integration and an orthogonal least-squares algorithm, in which the operators are expanded using polynomials as basis functions, and the spatial derivatives are estimated by finite difference methods. The resulting identified models of the spatio-temporal evolution form a system of partial differential equations. Examples are provided to demonstrate the efficiency of the proposed method |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1109/TCSII.2006.876464 | IEEE Trans. on Circuits and Systems |
Keywords | Field | DocType |
continuous spatio-temporal dynamical systems,implicit adams–,implicit adams-moulton formula,identification,spatio-temporal evolution,adams integration,partial differential equation (pde) identification,orthogonal least-squares algorithm,nonlinear dynamical systems,continuous spatio-temporal system,partial differential equation model identification,moulton formula,least mean squares methods,partial differential equations,finite difference methods,partial differential equation,finite difference method | Parabolic partial differential equation,Differential equation,Mathematical analysis,Numerical partial differential equations,First-order partial differential equation,Dynamical systems theory,Stochastic partial differential equation,Partial differential equation,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
53 | 8 | 1549-7747 |
Citations | PageRank | References |
9 | 0.93 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. Z. Guo | 1 | 170 | 16.55 |
| S. A. Billings | 2 | 365 | 60.58 |