Title

Multi-Step Matrix Integrators For Real-Time Simulation Of Nonlinear Systems Via Estimation Techniques

Abstract

This paper presents a technique to design a class of linear multistep matrix integrators with constant coefficients. These methods do not suffer from weak instability and are generally useful for real-time simulation of stiff nonlinear systems where critical constraints are often imposed on the simulation increment. The proposed method utilizes a recursive identification to estimate the integration coefficient matrices by tracking most changes in the dynamics of the system to ensure accuracy and stability of the simulation.. A significant savings in computation time can be realized with this technique when compared with common numerical methods since the integration stepsize can be chosen arbitrarily and indepen-dently of the system's eigenvalues. A computer simulation study was conducted to evaluate the performance of the, proposed technique.

Publication Date

1-1-1999

Publication Title

Computers in Education Journal

Volume

9

Issue

1

Number of Pages

50-54

Document Type

Article

Personal Identifier

scopus

Socpus ID

70449848691 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/70449848691

This document is currently not available here.

Share

COinS