Cat state
The quantized state systems (QSS) methods [CK06] are a family of numerical integration solvers based on the idea of state quantization.
First-order QSS method – QSS1
Let an initial value problem be specified as follows.
QSS1 approximates the above system by
where and are related by histeretic quantization functions.
High-order QSS method – QSS2 and QSS3
Backward QSS method – BQSS
Linearly implicit QSS method – LIQSS
Theoretical properties
Software implementation
The QSS Methods can be implemented as a discrete event system and simulated in any DEVS simulator.
QSS methods constitute the main numerical solver for PowerDEVS[BK011] software. They have also been implemented in as a stand alone version
References
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