Linearly implicit quantization-based integration methods for stiff ordinary differential equations
2013; Elsevier BV; Volume: 35; Linguagem: Inglês
10.1016/j.simpat.2013.03.004
ISSN1878-1462
AutoresGustavo Migoni, Mario Bortolotto, Ernesto Kofman, François E. Cellier,
Tópico(s)Electromagnetic Simulation and Numerical Methods
ResumoIn 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.
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