Polynomial chaos for multirate partial differential algebraic equations with random parameters. (English) Zbl 1171.65092
The authors use the technique of generalized polynomial chaos in order to solve periodic boundary value problems of multirate partial differential algebraic equations (MPDAEs). The coupled systems according to warped MPDAEs are considered in detail. An example base on warped MPDAEs is numerically analysed.
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
MSC:
| 65P20 | Numerical chaos |
| 35R60 | PDEs with randomness, stochastic partial differential equations |
| 35L50 | Initial-boundary value problems for first-order hyperbolic systems |
| 65N06 | Finite difference methods for boundary value problems involving PDEs |
| 65L80 | Numerical methods for differential-algebraic equations |
| 35R10 | Partial functional-differential equations |
Keywords:
differential algebraic equations; multirate partial differential algebraic equations; polynomial chaos; random parameters; uncertainty quantification; Galerkin method; finite difference method; periodic boundary value problemsReferences:
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