24 papers · ranked by Valyu relevance
Timm Faulwasser, Konstantin Sharafutdinov, Moritz Matthiae, Dirk Witthaut
'Dirk Witthaut'] We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions…
Dan M. Popescu, Ovidiu Lipan, Guido Germano
We propose the use of the Kramers-Moyal expansion in the analysis of third-order noise. In particular, we show how the approach can be applied in the theoretical study of option valuation. Despite Pawula’s theorem, which states that a truncated model may exhibit poor statistical properties, we show that for a…
Sašo Grozdanov, N. Kaplis
Hydrodynamics can be formulated as the gradient expansion of conserved currents in terms of the fundamental fields describing the near-equilibrium fluid flow. In the relativistic case, the Navier-Stokes equations follow from the conservation of the stress-energy tensor to first order in derivatives. In this paper, we…
Baichuan Li, Qiaozhen Zhang, Xiangyong Zhao, Shaotao Zhi + 4 more
'Sulei Fu' 'Weibiao Wang' 'Guo Liu'] This article presents a general-purpose model that enables efficient and accurate calculation of third-order nonlinear signals in surface acoustic wave (SAW) devices. This model is based on piezoelectric constitutive equations combined with perturbation theory, which can be analyzed…
Alexander Domoshnitsky, Shirel Shemesh, Alexander Sitkin, Ester Yakovi + 1 more
'Ester Yakovi' 'Roman Yavich'] There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the…
H. van de Beek, M. Beldjenna, M. Fidler, L.B. Zwep + 1 more
Asymptotic standard errors for the parameters of a nonlinear mixed-effects model fitted by first-order conditional estimation (FOCE) or FOCE with interaction (FOCEI) require the observed (Fisher) information — the negative second derivative of the population objective at the optimum. The gradient of this objective can…
S. Danial Forghani, S. Habib Mazharimousavi, M. Halilsoy
By using the formalism of thin-shells, we construct a geometrical model of a particle in third-order Lovelock gravity. This particular theory which is valid at least in 7 dimensions, provides enough degrees of freedom and grounds towards such a construction. The particle consists of a flat interior and a non-black hole…
Luke Allan, Tim Zuehlsdorff
The second order cumulant method offers a promising pathway to predicting optical properties in condensed phase systems. It allows for the computation of linear absorption spectra from excitation energy fluctuations sampled along molecular dynamics (MD) trajectories, fully accounting for vibronic effects, direct…
Luis Gomez-Raya, Luis Silio, Wendy M. Rauw, Luis Alberto Gracia-Cortés + 1 more
'Luis Alberto Gracia-Cortés' 'Carmen Rodríguez'] Background Previous studies on linkage disequilibrium have investigated second order linkage disequilibrium in animal and plant populations. The objective of this paper was to investigate the genome-wide levels of third order linkage disequilibrium in a composite line…
Authors not listed
Machine learning interatomic potentials (MLPs) are promising for accelerating simulation of ion transport in all-solid-state battery materials, but their accuracy across diverse material compositions and symmetries remains unquantified. Here, we systematically benchmark six state-of-the-art MLPs, namely CHGNet…
Authors not listed
Deriving versatile and robust mechanistic models from experimental data is a key challenge in engineering and natural sciences. This is especially true in chemical reaction engineering, where reactor manufacturers and operators increasingly pursue the development and maintenance of digital twins that rely on frequent…
Jae Wan Shim
We present a set of uniform polynomial equations that provides multidimensional on-lattice higher-order models of the lattice Boltzmann theory, while keeping compact the number of discrete velocities. As examples, we explicitly derive two- and three-dimensional on-lattice models applicable to describing thermal…
Jianbin Li, Hongding Gao, Per Madsen, Wenhao Liu + 5 more
Random regression test-day model has become the most commonly adopted model for routine genetic evaluations for different dairy populations, which allows accurately accounting for genetic and environmental effects at different periods during lactation. The objective of this study was to explore appropriate random…
Mahrshi Jani, Shengyue Su, Lena Gast, Armin Nagel + 1 more
Ensuring optimal homogeneity of the static magnetic field (B0) is critically important for significantly enhancing the image quality, spectral resolution, and overall diagnostic accuracy of magnetic resonance imaging (MRI) and magnetic resonance spectroscopy/spectroscopic imaging (MRS/MRSI), especially at high and…
Authors not listed
Enzymatic hydride transfer reactions play a crucial role in numerous metabolic pathways, yet their accurate computational modeling remains challenging due to the trade-off between accuracy and computational efficiency. Ideally, molecular dynamics simulations should sample all enzyme configurations along the reaction…
Jacob Price, Panos Stinis
In recent work we have developed a renormalization framework for stabilizing reduced order models for time-dependent partial differential equations. We have applied this framework to the open problem of finite-time singularity formation (blow-up) for the 3D Euler equations of incompressible fluid flow. To the best of…
Taha Aziz, F. M. Mahomed
In this communication, we utilize some basic symmetry reductions to transform the governing nonlinear partial differential equations arising in the study of third-grade fluid flows into ordinary differential equations. We obtain some simple closed-form steady-state solutions of these reduced equations. Our solutions…
Mohammad AlAdwani, Serguei Saavedra
Recent work has shown that higher-order interactions can increase the stability, promote the diversity, and better explain the dynamics of ecological communities. Yet, it remains unclear whether the perceived benefits of adding higher-order terms into population dynamics models come from fundamental principles or a…
Anatol Eduard Reghintovschi
Although the concept of a two-person psychology as an encompassing perspective is not new, the role of the psychoanalytic dyad, or the analytic third, within the analytic process requires further research. Do analytic dyads (or thirds) create meaning and thus contribute to the process? If so, how can this be observed?…
Carlos Renato Huaura Solórzano, Antonio Fernando Bertachini de Almeida Prado
'Antonio Fernando Bertachini de Almeida Prado'] The effects of a third-body travelling in a circular orbit around a main body on a massless satellite that is orbiting the same main body are studied under two averaged models, single and double, where expansions of the disturbing function are made, and the full…
Authors not listed
Classical molecular dynamics (MD) simulation is the most computationally efficient way to model large molecular systems atomistically for extended periods; however, due to fixed forcefield parameters, incorporating on-the-fly quantum reactions is not straightforward. Reactive Step-Based Molecular Dynamics (RSMD) is a…
Bertrand Chapron, Dan Crisan, Darryl D. Holm, Oana Lang + 2 more
'Alexander Lobbe' 'Étienne Mémin'] In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from the coarse graining of the finescale data and is in common usage in computational simulations at coarser scales. In this…
Hamidreza Arjmandi, Kajsa P Kanebratt, Liisa Vilén, Peter Gennemark + 1 more
Biophysical models can predict the behavior of cell cultures including 3D cell cultures (3DCCs), thereby reducing the need for costly and time-consuming experiments. Specifically, mass transfer models enable studying the transport of nutrients, oxygen, signaling molecules, and drugs in 3DCC which requires defining…
Sk. Sarif Hassan
The ecological dynamics of prey-predator systems are extensively studied over a century. Previte and Hoffman introduced a three species(predator-prey with an omnivore) model in 2013. We demonstrate the asymptotic stability of the Previte and Hoffman modified model adding with small immigration into the prey or predator…