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Second-order partial differential equations in non-divergence form are considered. Equations of this kind typically arise as subproblems for the solution of Hamilton-Jacobi-Bellman equations in the context of stochastic optimal control, or…

Numerical Analysis · Mathematics 2020-08-13 Jan Blechschmidt , Roland Herzog , Max Winkler

In this paper we address the challenging problem of designing globally convergent estimators for the parameters of nonlinear systems containing a non-separable exponential nonlinearity. This class of terms appears in many practical…

Dynamical Systems · Mathematics 2022-11-17 Romeo Ortega , Alexey Bobtsov , Ramon Costa-Castello , Nikolay Nikolaev

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

Optimization and Control · Mathematics 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

The critical task of inferring anomalous cross-field transport coefficients is addressed in simulations of boundary plasmas with fluid models. A workflow for parameter inference in the UEDGE fluid code is developed using Bayesian…

Plasma Physics · Physics 2025-07-09 Yichen Fu , Ben Dudson , Xiao Chen , Maxim Umansky , Filippo Scotti , Tom Rognlien , Anthony Leonard

We report a new implementation of multireference algebraic diagrammatic construction theory (MR-ADC) for simulations of electron attachment and ionization in strongly correlated molecular systems (EA/IP-MR-ADC). Following our recent work on…

Chemical Physics · Physics 2021-01-19 Koushik Chatterjee , Alexander Yu. Sokolov

This paper proposes a higher-order multiscale computational method for nonlinear thermo-electric coupling problems of composite structures, which possess temperature-dependent material properties and nonlinear Joule heating. The innovative…

Numerical Analysis · Mathematics 2025-01-24 Hao Dong , Zongze Yang , Yufeng Nie

Recent experiments with ultracold fermionic atoms in optical lattices have provided a tuneable and clean realization of the attractive Hubbard model (AHM). In view of this, several physical properties may be thoroughly studied across the…

Strongly Correlated Electrons · Physics 2022-01-07 Rodrigo A. Fontenele , Natanael C. Costa , Raimundo R. dos Santos , Thereza Paiva

We use LVDSMC simulations to calculate the second-order temperature jump coefficient for a dilute gas whose temperature is governed by the Poisson equation with a constant forcing term. Both the hard sphere gas and the BGK model of the…

Fluid Dynamics · Physics 2015-06-03 Gregg A. Radtke , Nicolas G. Hadjiconstantinou , Shigeru Takata , Kazuo Aoki

Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of heat conduction, which is connected with the relaxation of…

Numerical Analysis · Computer Science 2010-10-13 Petr N. Vabishchevich

The use of adjoint solvers is considered in order to obtain the sensitivity of clinical measures in aneurysms to incomplete (or unknown) boundary conditions and/or geometry. It is shown that these techniques offer interesting theoretical…

Medical Physics · Physics 2023-01-13 Rainald Löhner , Harbir Antil , Juan Cebral , Fernando Mut

We calculate the conductance through a single quantum dot coupled to metallic leads, modeled by the spin 1/2 Anderson model. We adopt the finite-U extension of the noncrossing approximation method. Our results are in good agreement with…

Strongly Correlated Electrons · Physics 2007-05-23 D. Gerace , E. Pavarini , L. C. Andreani

The liquidus temperature is an important parameter in understanding the crystalline behavior of materials and in the operation of blast furnaces. Its modeling can be carried out by linear and nonlinear methods through data, considering the…

Materials Science · Physics 2023-07-24 Patrick dos Anjos , Lucas A. Quaresma , Marcelo L. P. Machado

In our previous work [1], using indirect evaluation methods we concluded that the uncertainties of the second and the third density virial coefficient, B and C, of helium-4 at 5 K calculated by various authors had been overestimated. To…

Instrumentation and Detectors · Physics 2024-01-05 Haiyang Zhang , Wenjing Liu , Xiangjie Kong , Bo Gao , Yaonan Song , Mark Plimmer , Laurent Pitre

We report on the development of an induction based low temperature high frequency ac susceptometer capable of measuring at frequencies up to 3.5 MHz and at temperatures between 2 K and 300 K. Careful balancing of the detection coils and…

Instrumentation and Detectors · Physics 2019-09-04 E. Riordan , J. Blomgren , C. Jonasson , F. Ahrentorp , C. Johansson , D. Margineda , A. Elfassi , S. Michel , F. Dell'ova , G. M. Klemencic , S. R. Giblin

The main purpose of this work was to design, develop and construct a simple, low-cost AC susceptometer to measure large, bulk superconducting samples (up to 32 mm in diameter) in the temperature range 78-120 K. The design incorporates a…

Superconductivity · Physics 2009-11-13 P Laurent , J F Fagnard , B Vanderheyden , N Hari Babu , D A Cardwell , M Ausloos , P Vanderbemden

This paper deals with the problem of estimating second-order parameter sensitivities for stochastic reaction networks, where the reaction dynamics is modeled as a continuous time Markov chain over a discrete state space. Estimation of such…

Probability · Mathematics 2014-07-29 Ankit Gupta , Mustafa Khammash

This article includes a short survey of selected averaging and dimension reduction techniques for deterministic fast-slow systems. This survey includes, among others, classical techniques, such as the WKB approximation or the averaging…

Mathematical Physics · Physics 2022-11-21 Matthias Klar , Karsten Matthies , Johannes Zimmer

In this brief report, a thermal lattice-Boltzmann (LB) model is presented for axisymmetric thermal flows in the incompressible limit. The model is based on the double-distribution-function LB method, which has attracted much attention since…

Computational Physics · Physics 2015-05-13 Q. Li , Y. L. He , G. H. Tang , W. Q. Tao

Adjoint-based sensitivity analysis methods are powerful tools for engineers who use flow simulations for design. However, the conventional adjoint method breaks down for scale-resolving simulations like large-eddy simulation (LES) or direct…

The present study proposes a sensor selection method based on the proximal splitting algorithm and the A-optimal design of experiment using the alternating direction method of multipliers (ADMM) algorithm. The performance of the proposed…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Takayuki Nagata , Taku Nonomura , Kumi Nakai , Keigo Yamada , Yuji Saito , Shunsuke Ono
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