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Reduced order multirate schemes for coupled differential-algebraic systems
- Source :
- Applied Numerical Mathematics
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- In the context of time-domain simulation of integrated circuits, one often encounters large systems of coupled differential-algebraic equations. Simulation costs of these systems can become prohibitively large as the number of components keeps increasing. In an effort to reduce these simulation costs a twofold approach is presented in this paper. We combine maximum entropy snapshot sampling method and a nonlinear model order reduction technique, with multirate time integration. The obtained model order reduction basis is applied using the Gaus-Newton method with approximated tensors reduction. This reduction framework is then integrated using a coupled-slowest-first multirate integration scheme. The convergence of this combined method is verified numerically. Lastly it is shown that the new method results in a reduction of the computational effort without significant loss of accuracy.
- Subjects :
- Model order reduction
Numerical Analysis
Basis (linear algebra)
Applied Mathematics
Principle of maximum entropy
Context (language use)
010103 numerical & computational mathematics
Integrated circuit
01 natural sciences
law.invention
010101 applied mathematics
Reduction (complexity)
Computational Mathematics
law
Control theory
Convergence (routing)
0101 mathematics
Differential (infinitesimal)
Mathematics
Subjects
Details
- ISSN :
- 01689274
- Volume :
- 168
- Database :
- OpenAIRE
- Journal :
- Applied Numerical Mathematics
- Accession number :
- edsair.doi.dedup.....8f761c515a369d78ef52e8985f3dc639