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arXiv 2022年

作者： Kumar, Prabhat Nonaka, Andrew Jambunathan, Revathi Pahwa, Girish Salahuddin, Sayeef Yao, Zhi Applied Mathematics and Computational Research Division Lawrence Berkeley National Laboratory CA94720 United States Berkeley Device Modeling Center University of California BerkeleyCA94720 United States Materials Sciences Division Lawrence Berkeley National Laboratory CA94720 United States Department of Electrical Engineering and Computer Sciences University of California BerkeleyCA94720 United States

We present a massively parallel, 3D phase-field simulation framework for modeling ferroelectric materials based scalable logic devices. This code package, FerroX, self-consistently solves the time-dependent Ginzburg Landau (TDGL) equation for ferroelectric polarization, Poisson’s equation for electric potential, and charge equation for carrier densities in semiconductor regions. The algorithm is implemented using the AMReX software framework 1, which provides effective scalability on manycore and GPU-based supercomputing architectures. We demonstrate the performance of the algorithm with excellent scaling results on NERSC multicore and GPU systems, with a significant (15x) speedup on the GPU using a node-by-node comparison. We further demonstrate the applicability of the code in simulations of ferroelectric domain-wall induced negative capacitance (NC) effect in Metal-Ferroelectric-Insulator-Metal (MFIM) and Metal-Ferroelectric-Insulator-Semiconductor-Metal (MFISM) devices. The charge (Q) v.s. voltage (V) responses for these 3D structures clearly indicates stabilized negative capacitance with multidomain formation, which is corroborated by amplification of the voltage at the interface between the ferroelectric and dielectric layers. © 2022, CC BY.

关键词： Electric potential

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Non-invasive Cardiac Output Monitoring in Congenital Heart Disease

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Current Treatment Options in Pediatrics 2023年第4期9卷 247-259页

作者： Tandon, Animesh Bhattacharya, Sarnab Morca, Ayse Inan, Omer T Munther, Daniel S Ryan, Shawn D Latifi, Samir Q Lu, Nanshu Lasa, Javier J Marino, Bradley S Baloglu, Orkun Department of Heart Vascular and Thoracic Division of Cardiology and Cardiovascular Medicine Children’s Institute Cleveland Clinic Children’s Cleveland OH United States Cleveland Clinic Children’s Center for Artificial Intelligence (C4AI) Department of Heart Vascular and Thoracic Children’s Institute Cleveland Clinic Children’s Cleveland OH United States Department of Pediatrics Cleveland Clinic Lerner College of Medicine of Case Western Reserve University Cleveland OH United States Department of Biomedical Engineering Cleveland Clinic Lerner Research Institute and Case School of Engineering at Case Western Reserve University Cleveland OH United States Department of Electrical and Computer Engineering The University of Texas at Austin Austin 78712 TX United States Department of Integrated Hospital Care Division of Critical Care Children’s Institute Cleveland Clinic Children’s Cleveland OH United States School of Electrical and Computer Engineering Georgia Institute of Technology Atlanta GA United States Department of Mathematics and Statistics Cleveland State University Cleveland 44115 OH United States Center for Applied Data Analysis and Modeling Cleveland State University Cleveland 44115 OH United States Department of Aerospace Engineering and Engineering Mechanics Texas Materials Institute The University of Texas at Austin Austin 78712 TX United States Department of Biomedical Engineering The University of Texas at Austin Austin 78712 TX United States Department of Mechanical Engineering Texas Materials Institute The University of Texas at Austin Austin 78712 TX United States Divisions of Cardiology and Critical Care Department of Pediatrics Children’s Medical Center UT Southwestern Medical Center Dallas TX United States

Purpose of review: Cardiac output (CO) is a fundamental physiological parameter that measures the volume of blood that is pumped by the heart per unit of time, and helps define how oxygen is delivered to the tissues of the human body. In this paper, we discuss current methods of continuous CO monitoring while defining low CO syndrome (LCOS) and how analytical tools may help improve CO management in the subpopulation of patients with congenital heart disease (CHD). Recent findings: Non-invasive methods of measuring CO have become increasingly available in recent years. Advantages of non-invasive over invasive techniques include decreased risk of procedural complications, decreased exposure to sedative and/or anesthetic agents, and increased patient comfort. Pediatric patient populations are particularly sensitive to the risks and complications of invasive techniques given the relative size of current technologies to pediatric vascular and cardiac dimensions. Summary: Novel device technologies, combined with emerging analytical techniques, may help improve measurement of CO in children and those with CHD, and allow earlier detection of LCOS. © 2023, The Author(s).

关键词： Cardiac index Cardiac output Congenital heart disease Non-invasive continuous cardiac output monitoring

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An interpolating family of size distributions

arXiv

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arXiv 2020年

作者： Sinner, Corinne Dominicy, Yves Trufin, Julien Waterschoot, Wout Weber, Patrick Ley, Christophe Belgium Spuerkeess Modeling and Analytics Service Credit Process Management Luxembourg Department of Applied Mathematics Computer Science and Statistics Ghent University Belgium

Power laws and power laws with exponential cut-off are two distinct families of size distributions. In the present paper, we propose a unified treatment of both families by building a family of distributions that interpolates between them, hence the name Interpolating Family (IF) of distributions. Our original construction, which relies on techniques from statistical physics, provides a connection for hitherto unrelated distributions like the Pareto and Weibull distributions, and sheds new light on them. The IF also contains several distributions that are neither of power law nor of power law with exponential cut-off type. We calculate quantile-based properties, moments and modes for the IF. This allows us to review known properties of famous size distributions and to provide in a single sweep these characteristics for various less known (and new) special cases of our Interpolating Family. Copyright © 2020, The Authors. All rights reserved.

关键词： Pareto principle

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Automated Object Recognition System based on Convolutional Autoencoder

Automated Object Recognition System based on Convolutional A...

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International Conference on Advanced computer Information Technologies (ACIT)

作者： Pylyp Prystavka Olha Cholyshkina Serge Dolgikh Denys Karpenko Department of Applied Mathematics National Aviation University Kyiv Ukraine Department of Computational Mathematics and Computer Modeling Interregional Academy of Personnel Management Kyiv Ukraine Department of Network Engineering Solana Networks Ottawa Canada

ISBN: (数字)9781728167602

ISBN: (纸本)9781728167619

This paper describes the model, implementation and the experimental verification of an aerial image processing and recognition technology based on artificial neural networks, specifically, convolutional autoencoders and classifying perceptrons. An originally developed model that includes autoencoder preprocessing for compression and extraction of informative features was applied to the task of pattern recognition, namely, locating and identifying the objects of certain higher-level classes of interest in the images produced by aerial photography. Classification efficiency of the method was measured and compared with other common methods of classification, the advantages and shortcomings of the proposed approach analyzed and potential applications in real-time remote object recognition systems, as well as in automating the generation of training data for image recognition systems discussed.

关键词： Training Object recognition Feature extraction Image recognition Buildings Image segmentation Data visualization

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Democratizing Uncertainty Quantification

arXiv

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arXiv 2024年

作者： Seelinger, Linus Reinarz, Anne Lykkegaard, Mikkel B. Akers, Robert Alghamdi, Amal M.A. Aristoff, David Bangerth, Wolfgang Bénézech, Jean Diez, Matteo Frey, Kurt Jakeman, John D. Jørgensen, Jakob S. Kim, Ki-Tae Kent, Benjamin M. Martinelli, Massimiliano Parno, Matthew Pellegrini, Riccardo Petra, Noemi Riis, Nicolai A.B. Rosenfeld, Katherine Serani, Andrea Tamellini, Lorenzo Villa, Umberto Dodwell, Tim J. Scheichl, Robert Scientific Computing Center Karlsruhe Institute of Technology Karlsruhe Germany Department of Computer Science Durham University Durham United Kingdom digiLab Exeter United Kingdom UK Atomic Energy Authority Oxford United Kingdom Lyngby Denmark Department of Mathematics Colorado State University Fort CollinsCO United States Department of Mathematics Department of Geosciences Colorado State University Fort CollinsCO United States Centre for Integrated Materials Processes and Structures Department of Mechanical Engineering University of Bath Bath United Kingdom National Research Council Institute of Marine Engineering Rome Italy Institute for Disease Modeling Global Health Division Bill & Melinda Gates Foundation United States Optimization and Uncertainty Quantification Sandia National Laboratories AlbuquerqueNM United States University of California Merced United States National Research Council-Institute for Applied Mathematics and Information Technologies "E. Magenes" Pavia Italy Solea Energy ThetfordVT United States Copenhagen Imaging ApS Herlev Denmark The University of Texas Austin United States Heidelberg University Germany

Uncertainty Quantification (UQ) is vital to safety-critical model-based analyses, but the widespread adoption of sophisticated UQ methods is limited by technical complexity. In this paper, we introduce UM-Bridge (the UQ and modeling Bridge), a high-level abstraction and software protocol that facilitates universal interoperability of UQ software with simulation codes. It breaks down the technical complexity of advanced UQ applications and enables separation of concerns between experts. UM-Bridge democratizes UQ by allowing effective interdisciplinary collaboration, accelerating the development of advanced UQ methods, and making it easy to perform UQ analyses from prototype to High Performance Computing (HPC) scale. In addition, we present a library of ready-to-run UQ benchmark problems, all easily accessible through UM-Bridge. These benchmarks support UQ methodology research, enabling reproducible performance comparisons. We demonstrate UM-Bridge with several scientific applications, harnessing HPC resources even using UQ codes not designed with HPC support. © 2024, CC BY-NC-ND.

关键词： Application programs

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Splitting Schemes for Coupled Differential Equations: Block Schur-Based Approaches and Partial Jacobi Approximation

arXiv

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arXiv 2022年

作者： Nuca, Roberto Storvik, Erlend Radu, Florin A. Icardi, Matteo CEMSE King Abdullah University of Science and Technology Thuwal Saudi Arabia Center for Modeling of Coupled Subsurface Dynamics Department of Mathematics University of Bergen Allégaten 44 Bergen5007 Norway Department of Computer Science Electrical Engineering and Mathematical Sciences Western Norway University of Applied Sciences Svanehaugvegen 1 Førde6812 Norway School of Mathematical Sciences University of Nottingham NottinghamNG7 2RD United Kingdom

Coupled multi-physics problems are encountered in countless applications and pose significant numerical challenges. In a broad sense, one can categorise the numerical solution strategies for coupled problems into two classes: monolithic approaches and sequential (also known as split, decoupled, partitioned or segregated) approaches. The monolithic approaches treat the entire problem as one, whereas the sequential approaches are iterative decoupling techniques where the different sub-problems are treated separately. Although the monolithic approaches often offer the most robust solution strategies, they tend to require ad-hoc preconditioners and numerical implementations. Sequential methods, on the other hand, offer the possibility to add and remove equations from the model flexibly and rely on existing black-box solvers for each specific equation. Furthermore, when problems are non-linear, inner iterations need to be performed even in monolithic solvers, making the sequential approaches an even more viable alternative. The cost of running inner iterations to recover the multi-physics coupling could, however, easily become prohibitive. Moreover, the sequential approaches might not converge at all. In this work, we present a general formulation of splitting schemes for continuous operators with arbitrary implicit/explicit splitting, like in standard iterative methods for linear systems. By introducing a generic relaxation operator, we find the conditions for the convergence of the iterative schemes. We show how the relaxation operator can be thought of as a preconditioner and constructed based on an approximate Schur complement. We propose a Schur-based Partial Jacobi relaxation operator to stabilise the coupling and show its effectiveness. Although we mainly focus on scalar-scalar linear problems, most results are easily extended to non-linear and higher-dimensional problems. The schemes presented are not explicitly dependent on any particular discretisation methodol

关键词： Iterative methods

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Reliability and sensitivity analysis of a repairable k-out-of-n:F system with general life-and repair times distribution 30th

Reliability and sensitivity analysis of a repairable k-out-o...

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30th European Safety and Reliability Conference, ESREL 2020 and 15th Probabilistic Safety Assessment and Management Conference, PSAM15 2020

作者： Rykov, Vladimir Ivanova, Nika Department of Applied Mathematics and Computer Modeling Gubkin Russian State University of oil and gas 65 Leninsky Prospekt Moscow119991 Russia 6 Miklukho-Maklaya St Moscow117198 Russia V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences Profsoyuznaya str. 65 Moscow117997 Russia

ISBN: (纸本)9789811485930

The study of a k-out-of-n system's reliability is interesting both from theoretical and practical points of view. There are many investigations devoted to reliability centric analysis of a k-out-of-n:F systems, i.e., systems consisting of n components which are operable while at least k of system's components are functioning Shepherd (2008). Another problem deals with the previous issue is the sensitivity of k-out-of-n system reliability characteristics to the shape of their elements’ life and repair times distribution Sevast’yanov (1957). In some previous works, closed-form representations for reliability characteristics of redundant systems with an exponential distribution of their elements lifetime and general distribution of their repair time have been found in Rykov (2018), Rykov et al. (2020). Such results show systems' asymptotic insensitivity to the shape of repair time distributions. In the recent paper the analytical model of a k-out-of-n:F system in the case of exponential distribution of their elements lifetime and a general repair time distribution is considered using the supplementary variables method (also called as the markovization method) Cox (1955) as well as sensitivity analysis of some reliability characteristics of such a system for the general distributions of life-and repair times is carried out with the help of simulation modeling. Numerical analysis is performed on the example of the 3-out-of-6:F system. © ESREL2020-PSAM15 Organizers. Published by Research Publishing, Singapore.

关键词： Sensitivity analysis

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Hopping-Transport Mechanism for Reconfigurable Logic in Disordered Dopant Networks

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Physical Review applied 2022年第6期17卷 064025-064025页

作者： Henri Tertilt Jesse Bakker Marlon Becker Bram de Wilde Indrek Klanberg Bernard J. Geurts Wilfred G. van der Wiel Andreas Heuer Peter A. Bobbert Institut für physikalische Chemie Westfälische Wilhelms-Universität Münster Münster Germany NanoElectronics Group University of Twente Enschede Netherlands Multiscale Modeling and Simulation Group Faculty of Electrical Engineering Mathematics and Computer Science MESA+ Institute for Nanotechnology and Center for Brain-Inspired Nano Systems (BRAINS) University of Twente Enschede Netherlands Center for Computational Energy Research (CCER) Eindhoven University of Technology Netherlands Fachbereich Physik Westfälische Wilhelms-Universität Münster Münster Germany Department of Applied Physics Eindhoven University of Technology Netherlands

We present an atomic-scale mechanism based on variable-range hopping of interacting charges enabling reconfigurable logic in dopant network processing units. Kinetic Monte Carlo simulations of the hopping process show temperature-dependent current-voltage characteristics and artificially evolved basic Boolean logic gates in very good agreement with experiment. The simulations provide unique insights into the local electrostatic potential and current flow in the dopant network, showing subtle changes induced by control voltages that set the conditions for the logic operation. These insights will be crucial in the systematic further development of this burgeoning technology for unconventional computing. The establishment of the principles underlying the logic functionality of these devices encourages the exploration and utilization of the same principles in other materials and device geometries.

关键词： Doping effects Hopping transport Neuromorphic computing Devices for digital logic, storage & processing Disordered systems Doped semiconductors Genetic algorithm Monte Carlo methods

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Modulating soliton dynamics: The role of tunable external potentials in nonisospectral nonlinear Schrödinger systems

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Physics Letters A 2025年 553卷

作者： S. Saravana Veni M.S. Mani Rajan Anjan Biswas Yakup Yıldırım Ali Saleh Alshomrani Department of Physics Amrita School of Physical Sciences Amrita Vishwa Vidyapeetham Coimbatore 641 112 India Department of Physics University College of Engineering Anna University Ramanathapuram 623513 Tamilnadu India Department of Mathematics and Physics Grambling State University Grambling 71245-2725 LA USA Mathematical Modeling and Applied Computation (MMAC) Research Group Center of Modern Mathematical Sciences and their Applications (CMMSA) Department of Mathematics King Abdulaziz University Jeddah 21589 Saudi Arabia Department of Applied Sciences Cross-Border Faculty of Humanities Economics and Engineering Dunarea de Jos University of Galati 111 Domneasca Street Galati 800201 Romania Department of Mathematics and Applied Mathematics Sefako Makgatho Health Sciences University Medunsa 0204 Pretoria South Africa Department of Physics and Electronics Khazar University Baku AZ-1096 Azerbaijan Department of Computer Engineering Biruni University Istanbul 34010 Turkey

In this paper, we analyze the stability and dynamics of hump-like structures in single soliton solutions and the transition to ring-like structures in two soliton solutions, including their interactions. We start with the mathematical model with the effect of external potential and nonisospectral functions in the family of nonlinear Schrödinger (NLS) equation. By using the Darboux transformation method we obtain soliton solutions. Our study reveals, for the first time, that the incorporation of nonisospectral parameters induces modifications in soliton behavior, giving rise to novel interaction patterns and structural transformations. In particular, we observe that double-hump solitons exhibit instability and undergo a transition into ring soliton structures under the influence of these spectral variations. These findings provide new insights into the role of spectral modulation in shaping the evolution and stability of solitonic waves. Furthermore, we explore how variations in nonisospectral functions can lead to soliton interactions, perspectives on the dynamics.

关键词： Schrodinger equation

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Parallel Computing optimization of Two- Dimensional Mathematical modeling of Contaminant Migration in Catalytic Porous Media

Parallel Computing optimization of Two- Dimensional Mathemat...

引用

International Conference on Advanced computer Information Technologies (ACIT)

作者： Anatoliy Vlasyuk Viktor Zhukovskyy Nataliia Zhukovska Serhii Shatnyi Department of Economics Mathematical Modeling and Information Technologies The National University of Ostroh Academy Ostroh Ukraine Department of Computer Science and Applied Mathematics The National University of Water and Environmental Engineering Rivne Ukraine Department of Computer Engineering The National University of Water and Environmental Engineering Rivne Ukraine

ISBN: (数字)9781728167602

ISBN: (纸本)9781728167619

The mathematical model of a two-dimensional nonlinear case of contaminant migration to the filter traps in catalytic porous media in isothermal conditions is presented. The mathematical model takes into account the micro and the meso/macro scale factors of the mass transfer process. The numerical solution of the respective boundary value problem was obtained by the method of finite differences. Parallel computing optimization was conducted for numerical sweep method as well as for Orleans Grain management. The appropriate algorithmic complexity of the parallel block sweep method was shown. The general architecture of a new application was described. The resulted software was implemented in Microsoft Azure cloud computing platform. After a series of numerical experiments, the optimization performance results (speedup ratio and parallel efficiency) of a created solution were collected and discussed.

关键词： Mathematical model Soil Optimization Computational modeling Skeleton Filtration Software

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