Linearly Implicit Quantization-based Integration
Methods for Stiff Ordinary Differential Equations
Keywords
- Ordinary differential equation
- Stiff systems
- State quantization
- Quantized state systems
- PowerDEVS
Abstract
In this paper, new integration methods for stiff ordinary differential
equations (ODEs) are developed. Following the idea of
quantization-based integration (QBI), i.e., replacing the time
discretization by state quantization, the proposed algorithms generalize
the idea of linearly implicit algorithms. Also, the implementation of
the new algorithms in a DEVS simulation tool is discussed. The
efficiency of these new methods is verified by comparing their
performance in the simulation of two benchmark problems with that of
other numerical stiff ODE solvers. In particular, the advantages of
these new algorithms for the simulation of electronic circuits are
demonstrated.
Interested in reading the
full paper?
(19 pages, 1,191,171 bytes, pdf)
Homepage
Last modified: October 16, 2013 -- © François Cellier