Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations [PDF]
The long-time behavior of solutions to different versions of Oseen equations of fluid flow on the 2D torus is analyzed using the concept of hypocoercivity.
Mehrmann, Volker +2 more
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Meromorphic Solutions of Some Algebraic Differential Equations
By means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related results of Barsegian et al. (2002).
Jianming Lin, Weiling Xiong, Wenjun Yuan
doaj +1 more source
Low‐Power Control Of Resistance Switching Transitions in First‐Order Memristors
Joule losses are a serious concern in modern integrated circuit design. In this regard, minimizing the energy necessary for programming memristors should be handled with care. This manuscript presents an optimal control framework, allowing to derive energy‐efficient programming voltage protocols for resistance switching devices. Following this approach,
Valeriy A. Slipko +3 more
wiley +1 more source
Sobolev gradients for differential algebraic equations
Sobolev gradients and weighted Sobolev gradients have been used for the solution of a variety of ordinary as well as partial differential equations. In the article at hand we apply this method to linear and non-linear ordinary differential algebraic ...
Manfred Sauter, Robin Nittka
doaj
Network algebraization and port relationship for power‐electronic‐dominated power systems
In the classical differential‐algebraic equations (DAEs) framework for the traditional power system stability analysis, synchronous generators are depicted by differential equations and network by algebraic equations under the quasi‐steady‐state ...
Rui Ma, Xiaowen Yang, Meng Zhan
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Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach
An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza +3 more
wiley +1 more source
Berlin seminar on differential-algebraic equations Seminar notes
Differential algebraic equations (DAE) have developed into a highly topical subject of applied mathematics during the last decade. Condensed representations of important aspects regarding the theory and the numerical treatment of DAEs were published in ...
Maerz, R. (eds.) +3 more
core
Two-component generalizations of the Camassa-Holm equation [PDF]
A classification of integrable two-component systems of non-evolutionary partial differential equations that are analogous to the Camassa-Holm equation is carried out via the perturbative symmetry approach.
Novikov, Vladimir S. +5 more
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