การพัฒนาวิธีลดรูปโมเดลไม่เชิงเส้นที่รักษาลักษณะโครงสร้างและสมดุลของระบบ : Development of Structure-Preserving Nonlinear Model Reduction

(1) To develop and extend the projection-based model reduction with a special modification that allows the resulting reduced system to preserve the original port-Hamiltonian structure. (2) To derive the corresponding theoretical error bounds and convergence analysis for reduced-order state variables for the reduced systems constructed from the proposed approach. (3) To incorporate some efficient time integration schemes with the proposed structure preserving approach. (4) To illustrate the efficiency and accuracy of the proposed methods on some practical numerical applications.