First presenter Co-presenter(s)
Name :  Niloofar Mani * Name:   
E-mail: E-mail:  
Affiliation: University of Western Ontario Name:   
Department:   E-mail:    
City: London Name:   
State/Province: Ontario   E-mail:    
Country: Canada Name:   
13-05  E-mail:    
Session: 13- Symbolic and numeric approaches to dynamical modeling and simulation Schedule:
Thursday, 12:00
Related website:  
Title of
Numeric-Geometric Techniques for Differential Equations II. Applications
Slides of this talk (pdf)

Slides of this talk (pdf)

There are software packages that support high-level physics-based modeling and simulation. One of the latest is MapleSim which allows you to build component diagrams that represent physical systems in a graphical form. Using both symbolic and numeric approaches, this software automatically generates model differential equations with constraints (so-called differential-algebraic equations or DAE) from a component diagram and runs high-fidelity simulations.

We describe initial steps towards using geometric methods including homotopy continuation to analyze and help solve such systems numerically. This talk is a sequel to the introductory talk by Greg Reid, earlier in this session. The geometric methods have the advantage of numerical stability compared with symbolic differential-elimination methods, which much like Gauss elimination, can be unstable due to pivots on small approximate quantities. The talk will be illustrated by examples and applications.