Multirate Partial Differential Algebraic Equations
In radio frequency (RF) applications, electric circuits produce signals exhibiting fast oscillations, whereas the amplitude and/or frequency change slowly in time. Thus, solving a system of differential algebraic equations (DAEs), which describes the circuit's transient behaviour, becomes inefficient, since the fast rate restricts the step sizes in time. A multivariate model is able to decouple the widely separated time scales of RF signals and provides an alternative approach. Consequently, a system of DAEs changes into a system of multirate partial differential algebraic equations (MPDAEs). The determination of multivariate solutions allows for the exact reconstruction of corresponding time-dependent signals. Hence, an efficient numerical simulation is obtained by exploiting the periodicities in fast time scales. On the one hand, the simulation of enveloppe-modulated signals requires the solution of initial-boundary value problems of the MPDAEs. On the other hand, the simulation of quasiperiodic signals implies multiperiodic boundary conditions only for the MPDAEs. In case of quasiperiodic signals, a method of characteristics solves the multirate model efficiently, since the system of partial differential algebraic equations exhibits a hyperbolic structure.
Publications
- 2022
4853.
Kienitz, J.; McWalter, T. A.; Rudd, R.; Platen, E.
Quantization methods for stochastic differential equations
In Günther, Michael and Schilders, Wil, Editor from Mathematics in Industry
Page 299–329
Publisher: Springer Cham
2022
299–3294852.
Amin Zargaran, Uwe Janoske
Prediction of the mixing efficiency in rotor-stator system for high viscous mixtures based on a combined Lagrangian particle approach with an Immersed-Boundary Method
September 20224851.
Progress in Industrial Mathematics at ECMI 2021
In Ehrhardt, Matthias and Günther, Michael, Editor from Mathematics in Industry
Publisher: Springer Cham
2022ISBN: 978-3-031-11817-3
4850.
Progress in Industrial Mathematics at ECMI 2021
In Ehrhardt, Matthias and Günther, Michael, Editor from Mathematics in Industry
Publisher: Springer Cham
2022ISBN: 978-3-031-11817-3
4849.
Progress in Industrial Mathematics at ECMI 2021
In Ehrhardt, Matthias and Günther, Michael, Editor from Mathematics in Industry
Publisher: Springer Cham
2022ISBN: 978-3-031-11817-3
4848.
Ehrhardt, Matthias; Günther, Michael
Progress in Industrial Mathematics at ECMI 2021
20224847.
Kääpä, Alex; Kampert, Karl-Heinz; Mayotte, Eric
Propagation of extragalactic cosmic rays in the Galactic magnetic field
PoS, EPS-HEP2021 :088
20224846.
Ankirchner, Stefan; Kruse, Thomas; Löhr, Wolfgang; Urusov, Mikhail
Properties of the EMCEL scheme for approximating irregular diffusions
Journal of Mathematical Analysis and Applications, 509 (1) :125931
2022
Publisher: Academic Press4845.
Ankirchner, Stefan; Kruse, Thomas; Löhr, Wolfgang; Urusov, Mikhail
Properties of the EMCEL scheme for approximating irregular diffusions
Journal of Mathematical Analysis and Applications, 509 (1) :125931
2022
Publisher: Academic Press4844.
Ankirchner, Stefan; Kruse, Thomas; Löhr, Wolfgang; Urusov, Mikhail
Properties of the EMCEL scheme for approximating irregular diffusions
Journal of Mathematical Analysis and Applications, 509 (1) :125931
2022
Publisher: Academic Press4843.
Haussmann, N.; Clemens, M.
Quantifizierung der Unsicherheit bei der Expositionsbestimmung des menschlichen Körpers durch niederfrequente Magnetfelder auf GPUs mit Monte-Carlo Simulationen
URSI e.V. Deutschland 2022 Kleinheubacher Tagung (KHB 2022)
Miltenberg, Germany
Publisher: Abstract accepted
20224842.
Kienitz, J.; McWalter, T. A.; Rudd, R.; Platen, E.
Quantization methods for stochastic differential equations
In Günther, Michael and Schilders, Wil, Editor from Mathematics in Industry
Page 299–329
Publisher: Springer Cham
2022
299–3294841.
Addazi, A.; others
Quantum gravity phenomenology at the dawn of the multi-messenger era-A review
Prog. Part. Nucl. Phys., 125 :103948
20224840.
Kienitz, Jörg
Semi-analytical conditional expectations
Risk Cutting Edge, 7
2022
Publisher: Incisive Media4839.
Bensberg, Kathrin; Kirsch, S. F.
Reactions with Geminal Diazides: Long Known, Full of Surprises, and New Opportunities
Synthesis, 54 (20) :4447-4460
2022
Publisher: Thieme
ISSN: 0039-78814838.
Bannenberg, Marcus WFM; Ciccazzo, Angelo; Günther, Michael
Reduced order multirate schemes in industrial circuit simulation
Journal of Mathematics in Industry, 12 (1) :1--13
2022
Publisher: SpringerOpen4837.
Bannenberg, Marcus WFM; Ciccazzo, Angelo; Günther, Michael
Reduced order multirate schemes in industrial circuit simulation
Journal of Mathematics in Industry, 12 (1) :12
2022
Publisher: Springer Verlag4836.
Bannenberg, Marcus WFM; Ciccazzo, Angelo; Günther, Michael
Reduced order multirate schemes in industrial circuit simulation
Journal of Mathematics in Industry, 12 (1) :12
2022
Publisher: Springer Verlag4835.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Reducing Obizhaeva-Wang type trade execution problems to LQ stochastic control problems
arXiv preprint arXiv:2206.03772
20224834.
Rudd, Ralph; McWalter, Thomas; Kienitz, Jörg; Platen, Eckhard
Robust product Markovian quantization
The Journal of Computational Finance, 25 (4) :55–78
2022
Publisher: Incisive Media4833.
Vorländer, Anna
Search for high-mass resonances in dilepton final states with associated b-jets at the ATLAS experiment
20224832.
Austrup, Volker Andreas
Search for scalar and vector leptoquarks decaying into quarks and leptons of different generations
Bergische Universitaet Wuppertal
20224831.
Roggel, Jens
Search for vector-like partners of the top and bottom quarks with the ATLAS experiment
Wuppertal U.
20224830.
Abreu, Pedro; others
Searches for Ultra-High-Energy Photons at the Pierre Auger Observatory
Universe, 8 (11) :579
20224829.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Self-exciting price impact via negative resilience in stochastic order books
Annals of Operations Research :1--23
2022
Publisher: Springer