Hans Georg Brachtendorf, Kai Bittner
A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations
https://arxiv.org/abs/2609.25854
A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations
https://arxiv.org/abs/2609.25854
September 23, 2026 at 6:09 PM
Hans Georg Brachtendorf, Kai Bittner
A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations
https://arxiv.org/abs/2609.25854
A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations
https://arxiv.org/abs/2609.25854
Yang Liu, Xiaomin Wu, Chengjie Zhan: A unified multirate lattice Boltzmann framework for thermosolutal dendritic solidification https://arxiv.org/abs/2609.25670 https://arxiv.org/pdf/2609.25670 https://arxiv.org/html/2609.25670
September 23, 2026 at 6:57 AM
Yang Liu, Xiaomin Wu, Chengjie Zhan: A unified multirate lattice Boltzmann framework for thermosolutal dendritic solidification https://arxiv.org/abs/2609.25670 https://arxiv.org/pdf/2609.25670 https://arxiv.org/html/2609.25670
Hans Georg Brachtendorf, Kai Bittner: A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations https://arxiv.org/abs/2609.25854 https://arxiv.org/pdf/2609.25854 https://arxiv.org/html/2609.25854
September 23, 2026 at 6:49 AM
Hans Georg Brachtendorf, Kai Bittner: A Multirate Transient Simulation Technique for Circuits described by Integro-Differential Equations https://arxiv.org/abs/2609.25854 https://arxiv.org/pdf/2609.25854 https://arxiv.org/html/2609.25854
On a related point - it doesn't bypass the sampling theorem but many people aren't aware of the noble identity which allows for careful downsampling *before* filtering without loss, often used for multirate, band limited processing (e.g. channelized bands in communications). Consider this my PSA
December 17, 2024 at 5:58 PM
On a related point - it doesn't bypass the sampling theorem but many people aren't aware of the noble identity which allows for careful downsampling *before* filtering without loss, often used for multirate, band limited processing (e.g. channelized bands in communications). Consider this my PSA
PoE-Switch im ESZ / RUD26 im 2.OG ausgetauscht. Neues Gerät unterstützt 802.3bt bis 90W und Multirate Gigabit (2.5). Erste tri-radio APs mit WiFi 6E angeschlossen.
January 7, 2026 at 8:50 AM
PoE-Switch im ESZ / RUD26 im 2.OG ausgetauscht. Neues Gerät unterstützt 802.3bt bis 90W und Multirate Gigabit (2.5). Erste tri-radio APs mit WiFi 6E angeschlossen.
It's a very big big girl chip :v
It's got like an SoC with 2 Cortex A72 cores and 2 Corex R5F cores bolted to a shitload of FPGA fabric and a bunch of super high-speed serial transceivers.
Also, i'm sorry the chip is actually 78mm by 78mm not 73, silly me :v
It's got like an SoC with 2 Cortex A72 cores and 2 Corex R5F cores bolted to a shitload of FPGA fabric and a bunch of super high-speed serial transceivers.
Also, i'm sorry the chip is actually 78mm by 78mm not 73, silly me :v
September 9, 2026 at 9:37 AM
It's a very big big girl chip :v
It's got like an SoC with 2 Cortex A72 cores and 2 Corex R5F cores bolted to a shitload of FPGA fabric and a bunch of super high-speed serial transceivers.
Also, i'm sorry the chip is actually 78mm by 78mm not 73, silly me :v
It's got like an SoC with 2 Cortex A72 cores and 2 Corex R5F cores bolted to a shitload of FPGA fabric and a bunch of super high-speed serial transceivers.
Also, i'm sorry the chip is actually 78mm by 78mm not 73, silly me :v
Ludovic Boulanger, Sean U. N. Wood: Multirate State Space Models for End-to-End Processing of Pulse Density Modulated Speech Signals https://arxiv.org/abs/2608.28472 https://arxiv.org/pdf/2608.28472 https://arxiv.org/html/2608.28472
August 31, 2026 at 6:44 AM
Ludovic Boulanger, Sean U. N. Wood: Multirate State Space Models for End-to-End Processing of Pulse Density Modulated Speech Signals https://arxiv.org/abs/2608.28472 https://arxiv.org/pdf/2608.28472 https://arxiv.org/html/2608.28472
Project P.I.T.T - Any% [Main Ending] in 3:13:55 by multirate
Project P.I.T.T - Any% [Main Ending] in 3:13:55 by multirate
www.speedrun.com
August 20, 2026 at 12:57 AM
Project P.I.T.T - Any% [Main Ending] in 3:13:55 by multirate
🔥🔥 NEW SPEEDRUN RECORD VERIFIED! 🔥🔥
🎮 Game: Project P.I.T.T
🏆 Category: Any%
⏱ Time: 3h 13m 55s 000ms
👤 Player: multirate
🔗 Link: https://www.speedrun.com/Project_PITT/runs/ylw7ln2z
🎮 Game: Project P.I.T.T
🏆 Category: Any%
⏱ Time: 3h 13m 55s 000ms
👤 Player: multirate
🔗 Link: https://www.speedrun.com/Project_PITT/runs/ylw7ln2z
August 20, 2026 at 1:22 AM
🔥🔥 NEW SPEEDRUN RECORD VERIFIED! 🔥🔥
🎮 Game: Project P.I.T.T
🏆 Category: Any%
⏱ Time: 3h 13m 55s 000ms
👤 Player: multirate
🔗 Link: https://www.speedrun.com/Project_PITT/runs/ylw7ln2z
🎮 Game: Project P.I.T.T
🏆 Category: Any%
⏱ Time: 3h 13m 55s 000ms
👤 Player: multirate
🔗 Link: https://www.speedrun.com/Project_PITT/runs/ylw7ln2z
Hiroshi Okajima, Kakeru Ono: Cyclic Reformulation-Based Identification and Polytopic Uncertainty Modeling for Multirate Systems https://arxiv.org/abs/2607.09194 https://arxiv.org/pdf/2607.09194 https://arxiv.org/html/2607.09194
July 13, 2026 at 6:46 AM
Hiroshi Okajima, Kakeru Ono: Cyclic Reformulation-Based Identification and Polytopic Uncertainty Modeling for Multirate Systems https://arxiv.org/abs/2607.09194 https://arxiv.org/pdf/2607.09194 https://arxiv.org/html/2607.09194
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Cisco ASR 9000 5th Generation High-Density Multi-Rate Line Card A9K-8HG-AIP-TR
@cisco.com #asr9000 #5thgen #highdensity #multirate #800g #400g #card #a9k #8hg #aip #tr @univold.bsky.social
Cisco ASR 9000 5th Generation High-Density Multi-Rate Line Card A9K-8HG-AIP-TR
@cisco.com #asr9000 #5thgen #highdensity #multirate #800g #400g #card #a9k #8hg #aip #tr @univold.bsky.social
April 21, 2025 at 3:33 AM
univold.com/cisco-asr-90...
Cisco ASR 9000 5th Generation High-Density Multi-Rate Line Card A9K-8HG-AIP-TR
@cisco.com #asr9000 #5thgen #highdensity #multirate #800g #400g #card #a9k #8hg #aip #tr @univold.bsky.social
Cisco ASR 9000 5th Generation High-Density Multi-Rate Line Card A9K-8HG-AIP-TR
@cisco.com #asr9000 #5thgen #highdensity #multirate #800g #400g #card #a9k #8hg #aip #tr @univold.bsky.social
Michael Wiesheu, Sebastian Sch\"ops, Idoia Cortes Garcia: A Comparison of Multirate Co-Simulation Techniques for Field-Circuit Coupled Problems https://arxiv.org/abs/2606.03594 https://arxiv.org/pdf/2606.03594 https://arxiv.org/html/2606.03594
June 3, 2026 at 6:49 AM
Michael Wiesheu, Sebastian Sch\"ops, Idoia Cortes Garcia: A Comparison of Multirate Co-Simulation Techniques for Field-Circuit Coupled Problems https://arxiv.org/abs/2606.03594 https://arxiv.org/pdf/2606.03594 https://arxiv.org/html/2606.03594
Mathieu Benninghoff, Gilles Vilmart: Second order explicit stabilized multirate method for stiff differential equations with error control https://arxiv.org/abs/2510.15475 https://arxiv.org/pdf/2510.15475 https://arxiv.org/html/2510.15475
October 20, 2025 at 6:39 AM
Mathieu Benninghoff, Gilles Vilmart: Second order explicit stabilized multirate method for stiff differential equations with error control https://arxiv.org/abs/2510.15475 https://arxiv.org/pdf/2510.15475 https://arxiv.org/html/2510.15475
Daniel R. Reynolds, Sylvia Amihere, Dashon Mitchell, Vu Thai Luan: Efficient and Flexible Multirate Temporal Adaptivity https://arxiv.org/abs/2510.14964 https://arxiv.org/pdf/2510.14964 https://arxiv.org/html/2510.14964
October 17, 2025 at 6:39 AM
Daniel R. Reynolds, Sylvia Amihere, Dashon Mitchell, Vu Thai Luan: Efficient and Flexible Multirate Temporal Adaptivity https://arxiv.org/abs/2510.14964 https://arxiv.org/pdf/2510.14964 https://arxiv.org/html/2510.14964
Daniel Doehring, Hendrik Ranocha, Manuel Torrilhon: Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration https://arxiv.org/abs/2507.04991 https://arxiv.org/pdf/2507.04991 https://arxiv.org/html/2507.04991
July 8, 2025 at 6:40 AM
Daniel Doehring, Hendrik Ranocha, Manuel Torrilhon: Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration https://arxiv.org/abs/2507.04991 https://arxiv.org/pdf/2507.04991 https://arxiv.org/html/2507.04991
Next we discuss higher order multirate schemes that generalize classical singlerate linear multistep, Runge-Kutta, and extrapolation methods. [3/3 of https://arxiv.org/abs/2505.20062v1]
May 27, 2025 at 6:10 AM
Next we discuss higher order multirate schemes that generalize classical singlerate linear multistep, Runge-Kutta, and extrapolation methods. [3/3 of https://arxiv.org/abs/2505.20062v1]
different activity levels of the system. We start the discussion with the straightforward approach based on interpolating and extrapolating the slow--fast coupling variables; the multirate Euler scheme, used as a base example, falls into this class. [2/3 of https://arxiv.org/abs/2505.20062v1]
May 27, 2025 at 6:10 AM
different activity levels of the system. We start the discussion with the straightforward approach based on interpolating and extrapolating the slow--fast coupling variables; the multirate Euler scheme, used as a base example, falls into this class. [2/3 of https://arxiv.org/abs/2505.20062v1]
arXiv:2505.20062v1 Announce Type: new
Abstract: This survey provides an overview of state-of-the art multirate schemes, which exploit the different time scales in the dynamics of a differential equation model by adapting the computational costs to [1/3 of https://arxiv.org/abs/2505.20062v1]
Abstract: This survey provides an overview of state-of-the art multirate schemes, which exploit the different time scales in the dynamics of a differential equation model by adapting the computational costs to [1/3 of https://arxiv.org/abs/2505.20062v1]
May 27, 2025 at 6:10 AM
arXiv:2505.20062v1 Announce Type: new
Abstract: This survey provides an overview of state-of-the art multirate schemes, which exploit the different time scales in the dynamics of a differential equation model by adapting the computational costs to [1/3 of https://arxiv.org/abs/2505.20062v1]
Abstract: This survey provides an overview of state-of-the art multirate schemes, which exploit the different time scales in the dynamics of a differential equation model by adapting the computational costs to [1/3 of https://arxiv.org/abs/2505.20062v1]
Michael G\"unther, Adrian Sandu: Multirate methods for ordinary differential equations https://arxiv.org/abs/2505.20062 https://arxiv.org/pdf/2505.20062 https://arxiv.org/html/2505.20062
May 27, 2025 at 6:10 AM
Michael G\"unther, Adrian Sandu: Multirate methods for ordinary differential equations https://arxiv.org/abs/2505.20062 https://arxiv.org/pdf/2505.20062 https://arxiv.org/html/2505.20062
Multirate Explicit Scheme (SMES) that stabilizes classical explicit methods without the need for small time steps or implicit formulations. By employing a multirate approach with variable time steps, SMES allows the fast dynamics to rapidly converge [3/5 of https://arxiv.org/abs/2504.06371v1]
April 10, 2025 at 6:04 AM
Multirate Explicit Scheme (SMES) that stabilizes classical explicit methods without the need for small time steps or implicit formulations. By employing a multirate approach with variable time steps, SMES allows the fast dynamics to rapidly converge [3/5 of https://arxiv.org/abs/2504.06371v1]
Yibo Shi, Cristian R. Rojas: Efficient Simulation of Singularly Perturbed Systems Using a Stabilized Multirate Explicit Scheme https://arxiv.org/abs/2504.06371 https://arxiv.org/pdf/2504.06371 https://arxiv.org/html/2504.06371
April 10, 2025 at 6:04 AM
Yibo Shi, Cristian R. Rojas: Efficient Simulation of Singularly Perturbed Systems Using a Stabilized Multirate Explicit Scheme https://arxiv.org/abs/2504.06371 https://arxiv.org/pdf/2504.06371 https://arxiv.org/html/2504.06371
methods. We then introduce a class of 2nd- and 3rd-order methods, referred to as ``implicitly-wrapped'' multirate methods, that combine a user-specified explicit method for integrating the fast timescale with several slow implicit stages. These [4/5 of https://arxiv.org/abs/2504.03257v1]
April 7, 2025 at 6:05 AM
methods. We then introduce a class of 2nd- and 3rd-order methods, referred to as ``implicitly-wrapped'' multirate methods, that combine a user-specified explicit method for integrating the fast timescale with several slow implicit stages. These [4/5 of https://arxiv.org/abs/2504.03257v1]
framework for multirate NPRK (MR-NPRK) that allows for arbitrary nonlinear splittings of the evolution operator. We discuss order conditions, formalize different types of coupling between timescales, and analyze joint linear stability of MR-NPRK [3/5 of https://arxiv.org/abs/2504.03257v1]
April 7, 2025 at 6:05 AM
framework for multirate NPRK (MR-NPRK) that allows for arbitrary nonlinear splittings of the evolution operator. We discuss order conditions, formalize different types of coupling between timescales, and analyze joint linear stability of MR-NPRK [3/5 of https://arxiv.org/abs/2504.03257v1]
arXiv:2504.03257v1 Announce Type: new
Abstract: Multirate integration is an increasingly relevant tool that enables scientists to simulate multiphysics systems. Existing multirate methods are designed for equations whose fast and slow variables can [1/5 of https://arxiv.org/abs/2504.03257v1]
Abstract: Multirate integration is an increasingly relevant tool that enables scientists to simulate multiphysics systems. Existing multirate methods are designed for equations whose fast and slow variables can [1/5 of https://arxiv.org/abs/2504.03257v1]
April 7, 2025 at 6:05 AM
arXiv:2504.03257v1 Announce Type: new
Abstract: Multirate integration is an increasingly relevant tool that enables scientists to simulate multiphysics systems. Existing multirate methods are designed for equations whose fast and slow variables can [1/5 of https://arxiv.org/abs/2504.03257v1]
Abstract: Multirate integration is an increasingly relevant tool that enables scientists to simulate multiphysics systems. Existing multirate methods are designed for equations whose fast and slow variables can [1/5 of https://arxiv.org/abs/2504.03257v1]
Tommaso Buvoli, Brian K. Tran, Ben S. Southworth: Multirate Runge-Kutta for Nonlinearly Partitioned Systems https://arxiv.org/abs/2504.03257 https://arxiv.org/pdf/2504.03257 https://arxiv.org/html/2504.03257
April 7, 2025 at 6:05 AM
Tommaso Buvoli, Brian K. Tran, Ben S. Southworth: Multirate Runge-Kutta for Nonlinearly Partitioned Systems https://arxiv.org/abs/2504.03257 https://arxiv.org/pdf/2504.03257 https://arxiv.org/html/2504.03257