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
- 2023
4705.
Alameddine, Jean-Marco; others
Simulations of cross media showers with CORSIKA 8
PoS, ICRC2023 :442
20234704.
Wintermayr, Jens; Kerner, Joachim; Täufer, Matthias
Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice
Annales Henri Poincare :19
December 20234703.
Thielmann, Oliver
Search for flavour-changing neutral current interactions in the top-quark Higgs boson sector in multi-lepton final states with the ATLAS detector at the LHC at $\sqrt{s} = 13\,\text{TeV}$
Bergische Universität Wuppertal
20234702.
Alameddine, Jean-Marco; others
Simulating radio emission from air showers with CORSIKA 8
PoS, ICRC2023 :425
20234701.
Schweitzer, Marcel
Sensitivity of matrix function based network communicability measures: Computational methods and a priori bounds
SIAM J. Matrix Anal. Appl., 44 (3) :1321-1348
20234700.
Schweitzer, Marcel
Sensitivity of matrix function based network communicability measures: Computational methods and a priori bounds
SIAM J. Matrix Anal. Appl., 44 (3) :1321-1348
20234699.
Aad, Georges; others
Search for pair-produced scalar and vector leptoquarks decaying into third-generation quarks and first- or second-generation leptons in pp collisions with the ATLAS detector
JHEP, 2306 :188
20234698.
Abdul Halim, Adila; others
Search for Ultra-high-energy Photons from Gravitational Wave Sources with the Pierre Auger Observatory
Astrophys. J., 952 (1) :91
20234697.
Abdul Halim, Adila; others
Search for primary photons at tens of PeV with the Pierre Auger Observatory
PoS, ICRC2023 :238
20234696.
Günther, Michael; Jacob, Birgit; Totzeck, Claudia
Structure-preserving identification of port-Hamiltonian systems--a sensitivity-based approach
arXiv preprint arXiv:2301.02019
20234695.
Kapllani, Lorenc; Teng, Long; Rottmann, Matthias
Uncertainty quantification for deep learning-based schemes for solving high-dimensional backward stochastic differential equations
Submitted to SIAM-ASA J. Uncertain. Quantif.
20234694.
Studies on the improvement of the matching uncertainty definition in top-quark processes simulated with Powheg+Pythia 8
CERN, Geneva
20234693.
Pereselkov, Sergey; Kuz’kin, Venedikt; Ehrhardt, Matthias; Tkachenko, Sergey; Rybyanets, Pavel; Ladykin, Nikolay
Three-dimensional modeling of sound field holograms of a moving source in the presence of internal waves causing horizontal refraction
Journal of Marine Science and Engineering, 11 (10) :1922
2023
Publisher: MDPI4692.
Jendoubi, Oussama
Vergleich der magnetischen Streufeldwerte eines induktiven geladenen Taxis zwischen Simulation und Messung im Rahmen des TALAKO-Projekts
20234691.
Pereselkov, Sergey; Kuz’kin, Venedikt; Ehrhardt, Matthias; Tkachenko, Sergey; Rybyanets, Pavel; Ladykin, Nikolay
Use of interference patterns to control sound field focusing in shallow water
Journal of Marine Science and Engineering, 11 (3) :559
2023
Publisher: MDPI4690.
Pereselkov, Sergey; Kuz’kin, Venedikt; Ehrhardt, Matthias; Tkachenko, Sergey; Rybyanets, Pavel; Ladykin, Nikolay
Use of Interference Patterns to Control Sound Field Focusing in Shallow Water
Journal of Marine Science and Engineering, 11 (3) :559
2023
Publisher: MDPI4689.
Pereselkov, Sergey; Kuz’kin, Venedikt; Ehrhardt, Matthias; Tkachenko, Sergey; Rybyanets, Pavel; Ladykin, Nikolay
Use of Interference Patterns to Control Sound Field Focusing in Shallow Water
Journal of Marine Science and Engineering, 11 (3) :559
2023
Publisher: MDPI4688.
Abdul Halim, Adila; others
Update on the Offline Framework for AugerPrime and production of reference simulation libraries using the VO Auger grid resources
PoS, ICRC2023 :248
20234687.
Dobrick, Alexander; Hölz, Julian
Uniform convergence of solutions to stochastic hybrid models of gene regulatory networks
20234686.
Kapllani, Lorenc; Teng, Long; Rottmann, Matthias
Uncertainty quantification for deep learning-based schemes for solving high-dimensional backward stochastic differential equations
20234685.
Dobrick, Alexander; Hölz, Julian; Kunze, Markus
Ultra Feller operators from a functional analytic perspective
20234684.
David, Amelie; Stroka, Steven; Haussmann, Norman; Schmülling, Benedikt; Clemens, Markus
Überprüfung der elektromagnetischen Umweltverträglichkeit bei induktiver Ladung
In Proff, Heike and Clemens, Markus and Marrón, Pedro J. and Schmülling, Benedikt, Editor
Page 143-180
Publisher: Springer Fachmedien Wiesbaden, Wiesbaden
2023
143-1804683.
Akramov, ME; Yusupov, JR; Ehrhardt, Matthias; Susanto, H; Matrasulov, DU
Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons
Physics Letters, Section A, 459 :128611
2023
Publisher: North-Holland4682.
Akramov, ME; Yusupov, JR; Ehrhardt, M; Susanto, H; Matrasulov, DU
Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons
Physics Letters A :128611
2023
Publisher: North-Holland4681.
Akramov, ME; Yusupov, JR; Ehrhardt, M; Susanto, H; Matrasulov, DU
Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons
Physics Letters A :128611
2023
Publisher: North-Holland