Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Christoph Hachtel"'
Multirate integration uses different time step sizes for different components of the solution based on the respective transient behavior. For inter/extrapolation-based multirate schemes, we construct a new subclass of schemes by using clamped cubic s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::112ffabe9b583759eb40d65b141f3c89
Publikováno v:
Journal of Computational and Applied Mathematics. 387:112499
Systems of differential equations which consist of subsystems with widely different dynamical behaviour can be integrated by multirate time integration schemes to increase the efficiency. These schemes allow the usage of inherent step sizes according
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fdeaf2d4f82abce27b7e56965ec04f1
https://doi.org/10.1016/j.cam.2019.112499
https://doi.org/10.1016/j.cam.2019.112499
Publikováno v:
Scientific Computing in Electrical Engineering ISBN: 9783319755373
Considering distributed and lumped electromagnetic effects in device simulation yields coupled field-circuit systems, which are high dimensional systems of partial-differential-algebraic equations. Moreover, such systems exhibit largely varying time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c87be2e8464677b2369acec5b702ad7
https://doi.org/10.1007/978-3-319-75538-0_9
https://doi.org/10.1007/978-3-319-75538-0_9
Publikováno v:
Scientific Computing in Electrical Engineering ISBN: 9783319303987
For systems of ordinary differential equations, where the components exhibit a largely differing dynamic behaviour, multirate methods exploit this structure to gain computational efficiency. A model order reduction applied to a single subsystem keeps
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5651051543f3229e3025189e7409755e
https://doi.org/10.1007/978-3-319-30399-4_19
https://doi.org/10.1007/978-3-319-30399-4_19
Publikováno v:
Scientific Computing in Electrical Engineering ISBN: 9783319303987
Multirate GARK schemes define a multirate extension of GARK schemes, generalized additive Runge-Kutta schemes. In contrast to additive schemes, GARK schemes allow for different stage values as arguments of different components of the right hand side.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebb24051ed85b2d38d2af45fc3b88f8a
https://doi.org/10.1007/978-3-319-30399-4_12
https://doi.org/10.1007/978-3-319-30399-4_12
Publikováno v:
Mathematics in Industry ISBN: 9783319234120
Given a multiphysics problem with components of different dynamical behaviour reduction-multirate methods start with a model order reduction of the slow part system and apply than a multirate ODE-integration to the whole system. This approach lets us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a31c3015ae5ea5350d04e4ce05a84db
https://doi.org/10.1007/978-3-319-23413-7_65
https://doi.org/10.1007/978-3-319-23413-7_65