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3,779 Results Found

  • Article
  • Open Access
7 Citations
3,968 Views
19 Pages

4 October 2018

A field-programmable gate array (FPGA)-based digital solver for real-time electromechanical transient simulation is designed in this paper. The solving process for a device or sub-network in an electromechanical transient simulation is packaged into...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
4 Citations
4,528 Views
18 Pages

The current state of science does not offer any remedy to stop a hurricane from occurring. Therefore, accurate storm surge models capable of predicting water velocity and elevation are indispensable. In this paper, the implementation of an implicit s...

  • Article
  • Open Access
6 Citations
3,612 Views
13 Pages

Neural Network Solver for Small Quantum Clusters

  • Nicholas Walker,
  • Samuel Kellar,
  • Yi Zhang,
  • Ka-Ming Tam and
  • Juana Moreno

6 September 2022

Machine learning approaches have recently been applied to the study of various problems in physics. Most of these studies are focused on interpreting the data generated by conventional numerical methods or the data on an existing experimental databas...

(This article belongs to the Special Issue New Spin on Metal-Insulator Transitions)
  • Article
  • Open Access
5 Citations
3,356 Views
13 Pages

A Parallel Solver for FSI Problems with Fictitious Domain Approach

  • Daniele Boffi,
  • Fabio Credali,
  • Lucia Gastaldi and
  • Simone Scacchi

We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier–Stokes equations, while...

(This article belongs to the Special Issue Current Problems and Advances in Computational and Applied Mechanics)
  • Article
  • Open Access
10 Citations
2,838 Views
18 Pages

A Hybrid Quantum Solver for the Lorenz System

  • Sajad Fathi Hafshejani,
  • Daya Gaur,
  • Arundhati Dasgupta,
  • Robert Benkoczi,
  • Narasimha Reddy Gosala and
  • Alfredo Iorio

22 November 2024

We develop a hybrid classical–quantum method for solving the Lorenz system. We use the forward Euler method to discretize the system in time, transforming it into a system of equations. This set of equations is solved by using the Variational Q...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
1,287 Views
15 Pages

16 September 2025

Inference of the interactive network structure of the physical world that is captured by nonlinear dynamic systems is a long-standing goal for machine learning. Existing inference methods have shown limited incorporation of physical system informatio...

(This article belongs to the Section Evolutionary Algorithms and Machine Learning)
  • Article
  • Open Access
10 Citations
3,562 Views
16 Pages

28 October 2022

Large sparse linear algebraic systems can be found in a variety of scientific and engineering fields and many scientists strive to solve them in an efficient and robust manner. In this paper, we propose an interpretable neural solver, the Fourier neu...

(This article belongs to the Special Issue Computational Intelligence: Theory and Applications)
  • Article
  • Open Access
19 Citations
6,076 Views
32 Pages

A Novel Solver for an Electrochemical–Thermal Ageing Model of a Lithium-Ion Battery

  • Toshan Wickramanayake,
  • Mehrnaz Javadipour and
  • Kamyar Mehran

To estimate the state of health, charge, power, and safety (SoX) of lithium-ion batteries (LiBs) in real time, battery management systems (BMSs) need accurate and efficient battery models. The full-order partial two-dimensional (P2D) model is a commo...

(This article belongs to the Section Battery Modelling, Simulation, Management and Application)
  • Article
  • Open Access
58 Citations
9,804 Views
23 Pages

13 November 2015

Based on the lattice Boltzmann method (LBM), the lattice Boltzmann flux solver (LBFS), which combines the advantages of conventional Navier–Stokes solvers and lattice Boltzmann solvers, was proposed recently. Specifically, LBFS applies the finite vol...

(This article belongs to the Special Issue Non-Linear Lattice)
  • Article
  • Open Access
2 Citations
2,030 Views
21 Pages

An Effective Multi-Revolution Lambert Solver Based on Elementary Calculus

  • Mauro Pontani,
  • Giulio De Angelis and
  • Edoardo Maria Leonardi

Multi-revolution Lambert solvers are intended to find the elliptic transfer orbits that are traveled multiple times and connect two specified positions in prescribed time, under the assumption of considering natural (Keplerian) orbital motion in the...

  • Article
  • Open Access
1 Citations
1,659 Views
25 Pages

11 December 2024

For problems with very fine surface meshes, typically the most time-consuming step of a boundary element method (BEM, also called a panel method) is solving the final linear system of equations. Many have already studied how to efficiently solve the...

(This article belongs to the Special Issue Research and Development of Supersonic Aircraft)
  • Article
  • Open Access
5 Citations
3,855 Views
25 Pages

8 December 2021

We consider the finite element approximation of the solution to elliptic partial differential equations such as the ones encountered in (quasi)-static mechanics, in transient mechanics with implicit time integration, or in thermal diffusion. We propo...

(This article belongs to the Special Issue Advanced Numerical Methods in Computational Solid Mechanics)
  • Proceeding Paper
  • Open Access
2 Citations
4,378 Views
6 Pages

15 November 2023

A safety instrument function (SIF) averts hazardous incidents that may arise due to diverse anomalies within a system. The SIF prevents potential dangers by comprising three integral components—the sensing element, the logic solver, and the fin...

(This article belongs to the Proceedings of The 10th International Electronic Conference on Sensors and Applications)
  • Article
  • Open Access
28 Citations
11,938 Views
18 Pages

14 February 2022

In this study, we developed a new reacting flow solver based on OpenFOAM (OF) and Cantera, with the capabilities of (i) dealing with detailed species transport and chemistry, (ii) integration using a well-balanced splitting scheme, and (iii) two adva...

(This article belongs to the Section Aeronautics)
  • Article
  • Open Access
8 Citations
6,208 Views
22 Pages

11 February 2024

An approach based on the OpenFOAM library has been developed to solve a high-speed, multicomponent mixture of a reacting, compressible flow. This work presents comprehensive validation of the newly developed solver, called compressibleCentralReacting...

(This article belongs to the Special Issue Recent Advances in Dynamic Phenomena)
  • Article
  • Open Access
2 Citations
3,976 Views
21 Pages

8 September 2022

In this paper, the hybrid Lagrangian–Eulerian solver HoPFlow is presented and evaluated against wind tunnel measurements from the New MEXICO experiment. In the paper, the distinct solvers that assemble the HoPFlow solver are presented, alongsid...

(This article belongs to the Section Geophysical and Environmental Fluid Mechanics)
  • Feature Paper
  • Article
  • Open Access
1 Citations
792 Views
21 Pages

22 February 2026

We propose a coupled gas–particle two-phase model for particle transport in a compressible carrier gas with interphase momentum and energy exchange, and we incorporate a diffusion-based mechanism to represent gas–particle reactions. The g...

  • Article
  • Open Access
12 Citations
3,359 Views
14 Pages

On-Chip Optical Adder and Differential-Equation-Solver Based on Fourier Optics and Metasurface

  • Yutai Chen,
  • Huan Chen,
  • Hansi Ma,
  • Zhaojian Zhang,
  • Wanlin Xie,
  • Xin Li,
  • Jian Chen and
  • Junbo Yang

30 September 2022

Analog optical computing (AOC) has attracted great attention over the past few years, because of its ultra-high speed (potential for real-time processing), ultra-low power consumption, and parallel processing capabilities. In this article, we design...

(This article belongs to the Special Issue Nanophotonics and Integrated Optics Devices)
  • Article
  • Open Access
1 Citations
1,484 Views
18 Pages

5 June 2026

Developing high-quality and reliable solver code for the job shop scheduling problem (JSSP) remains a challenging and expertise-intensive task because generated code must stay executable, produce feasible schedules, and achieve strong scheduling resu...

(This article belongs to the Special Issue Data-Driven Optimization and Decision-Making for Sustainable Manufacturing and Production Scheduling)
  • Article
  • Open Access
81 Views
31 Pages

Selection of Dental Implant Biomaterial by Using a Developed MCDM Solver

  • Dušan Lj. Petković,
  • Miloš J. Madić and
  • Kosta M. Todorović

9 October 2026

A proper selection of materials, especially biomaterials, ensures a reliable and long-lasting working life of the component, i.e., implant. The selection of materials for the manufacture of dental implants represents a significant challenge when it c...

(This article belongs to the Section Biomedical Engineering)
  • Article
  • Open Access
5,225 Views
26 Pages

3 January 2024

In this work, the explicit boundary-condition-enforced immersed boundary method (EIBM) and the lattice Boltzmann flux solver (LBFS) are integrated into OpenFOAM to efficiently solve incompressible flows with complex geometries and moving boundaries....

  • Article
  • Open Access
7 Citations
3,545 Views
18 Pages

FGeo-SSS: A Search-Based Symbolic Solver for Human-like Automated Geometric Reasoning

  • Xiaokai Zhang,
  • Na Zhu,
  • Yiming He,
  • Jia Zou,
  • Cheng Qin,
  • Yang Li and
  • Tuo Leng

30 March 2024

Geometric problem solving (GPS) has always been a long-standing challenge in the fields of automated reasoning. Its problem representation and solution process embody rich symmetry. This paper is the second in a series of our works. Based on the Geom...

(This article belongs to the Special Issue Applications Based on AI in Mathematics and Asymmetry/Symmetry)
  • Article
  • Open Access
3,467 Views
30 Pages

In the research field of rotorcraft aerodynamics, there are two fundamental challenges: resolving the complex vortex structures in rotor wakes and representing the moving rotor blades in the ambient airflow. In this paper, we address the first challe...

(This article belongs to the Special Issue Advances in Rotorcraft Dynamics)
  • Article
  • Open Access
14 Citations
5,114 Views
24 Pages

23 June 2021

Air cooling systems are currently the most popular and least expensive solutions to maintain a safe temperature in electronic devices. Heat sinks have been widely used in this area, allowing for an increase in the effective heat transfer surface area...

  • Technical Note
  • Open Access
6 Citations
4,092 Views
15 Pages

23 September 2019

A semi–implicit numerical model with a linear solver is proposed for the free-surface and pressurized mixed flows in hydraulic systems. It solves the two flow regimes within a unified formulation, and is much simpler than existing similar model...

(This article belongs to the Special Issue Pipeline Fluid Mechanics)
  • Article
  • Open Access
7 Citations
7,998 Views
15 Pages

29 March 2023

Although single exponential smoothing is a popular forecasting method for a wide range of applications involving stationary time series data, consistent rules about choosing the initial value and determining the value for the smoothing constant (&alp...

  • Article
  • Open Access
3 Citations
3,277 Views
16 Pages

A Barotropic Solver for High-Resolution Ocean General Circulation Models

  • Xiaodan Yang,
  • Shan Zhou,
  • Shengchang Zhou,
  • Zhenya Song and
  • Weiguo Liu

High-resolution global ocean general circulation models (OGCMs) play a key role in accurate ocean forecasting. However, the models of the operational forecasting systems are still not in high resolution due to the subsequent high demand for large com...

(This article belongs to the Special Issue Ocean Modelling in Support of Operational Ocean and Coastal Services)
  • Article
  • Open Access
4 Citations
12,724 Views
19 Pages

Logic Solver Diagnostics in Safety Instrumented Systems for Oil and Gas Applications

  • Marcantonio Catelani,
  • Lorenzo Ciani and
  • Gabriele Patrizi

25 February 2022

A safety instrumented system (SIS) is a complex unit composed of a set of hardware and software controls which are expressly used in critical process systems. A SIS should be specifically designed to obtain the failsafe state of the monitored plant o...

  • Article
  • Open Access
2 Citations
3,130 Views
15 Pages

A hybrid two-phase flow solver is proposed, based on an Euler–Euler two-fluid model with continuous blending of a Volume-of-Fluid method when phase interfaces of coherent gas pockets are to be resolved. In a preceding study on a two-dimensional...

  • Article
  • Open Access
2 Citations
2,452 Views
20 Pages

Symmetric Tridiagonal Eigenvalue Solver Across CPU Graphics Processing Unit (GPU) Nodes

  • Erika Hernández-Rubio,
  • Alberto Estrella-Cruz,
  • Amilcar Meneses-Viveros,
  • Jorge Alberto Rivera-Rivera,
  • Liliana Ibeth Barbosa-Santillán and
  • Sergio Víctor Chapa-Vergara

19 November 2024

In this work, an improved and scalable implementation of Cuppen’s algorithm for diagonalizing symmetric tridiagonal matrices is presented. This approach uses a hybrid-heterogeneous parallelization technique, taking advantage of GPU and CPU in a...

  • Article
  • Open Access
10 Citations
2,103 Views
28 Pages

This paper introduces an innovative artificial neural networks-based analytical solver for fractional partial differential equations (fPDEs), combining neural networks (NNs) with symbolic computation. Leveraging the powerful function approximation ab...

(This article belongs to the Special Issue Numerical Solution and Applications of Fractional Differential Equations, 3rd Edition)
  • Article
  • Open Access
8 Citations
3,048 Views
22 Pages

A New FPGA-Based Real-Time Digital Solver for Power System Simulation

  • Bingda Zhang,
  • Xianglong Jin,
  • Sijia Tu,
  • Zhao Jin and
  • Jie Zhang

8 December 2019

Considering the rational use of field programmable gate array (FPGA) resources, this paper proposes a new FPGA-based real-time digital solver (FRTDS) for power system simulation. Based on the relationship between the number of computing components, t...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
4 Citations
2,963 Views
18 Pages

11 October 2022

In the present study, mathematical modeling was performed to simulate natural convection of a nanofluid in a square enclosure using the thermal lattice Boltzmann flux solver (TLBFS). Firstly, natural convection in a square enclosure, filled with pure...

(This article belongs to the Special Issue Kinetic Theory-Based Methods in Fluid Dynamics)
  • Case Report
  • Open Access
15 Citations
5,051 Views
17 Pages

Using a Genetic Algorithm with a Mathematical Programming Solver to Optimize a Real Water Distribution System

  • Beatriz Martínez-Bahena,
  • Marco Antonio Cruz-Chávez,
  • Erika Yesenia Ávila-Melgar,
  • Martín H. Cruz-Rosales and
  • Rafael Rivera-Lopez

24 September 2018

This research proposes a genetic algorithm that provides a solution to the problem of deficient distribution of drinking water via the current hydraulic network in the neighborhood “Fraccionamiento Real Montecasino” (FRM), in Huitzilac, M...

(This article belongs to the Section Hydraulics and Hydrodynamics)
  • Article
  • Open Access
2 Citations
3,621 Views
9 Pages

11 July 2024

Advancing the modeling of evaporation and salt precipitation is essential in CO2 storage processes in aquifers. OpenFOAM provides a platform for computational fluid dynamics (CFD) modeling with its open-source C++ object-oriented architecture that ca...

(This article belongs to the Section B3: Carbon Emission and Utilization)
  • Article
  • Open Access
366 Views
34 Pages

A Hybrid Quantum–Classical Variational Linear Solver for Power Flow Analysis in Smart Grids with V2G Integration

  • Siriwat Ninlawat,
  • Kajornsak Singhun,
  • Thananan Chooseang,
  • Prakasit Prabpal,
  • Pantree Khompittaya,
  • Somchat Sonasang and
  • Niwat Angkawisittpan

16 September 2026

This paper presents a simulation-based proof of concept for integrating an existing Variational Quantum Linear Solver (VQLS) with a Newton-type AC power flow procedure for smart grids with vehicle-to-grid (V2G) participation. The novelty of the work...

(This article belongs to the Topic Optimal Planning, Integration and Control of Smart Grids and Microgrids Systems, 2nd Edition)
  • Article
  • Open Access
3 Citations
3,009 Views
29 Pages

The Development of a Multiphysics Coupled Solver for Studying the Effect of Dynamic Heterogeneous Configuration on Particulate Debris Bed Criticality and Cooling Characteristics

  • Chun-Yen Li,
  • Kai Wang,
  • Akihiro Uchibori,
  • Yasushi Okano,
  • Marco Pellegrini,
  • Nejdet Erkan,
  • Takashi Takata and
  • Koji Okamoto

29 June 2023

For a sodium-cooled fast reactor, the capability for stable cooling and avoiding re-criticality on the debris bed is essential for achieving in-vessel retention when severe accidents occur. However, an unexploited uncertainty still existed regarding...

(This article belongs to the Section Applied Thermal Engineering)
  • Article
  • Open Access
4 Citations
1,579 Views
22 Pages

Variable-Step Semi-Implicit Solver with Adjustable Symmetry and Its Application for Chaos-Based Communication

  • Vyacheslav Rybin,
  • Ivan Babkin,
  • Yulia Bobrova,
  • Maksim Galchenko,
  • Alexander Mikhailov and
  • Timur Karimov

9 April 2025

In this article, we introduce a novel approach to numerical integration based on a modified composite diagonal (CD) method, which is a variation of the semi-implicit Euler–Cromer method. This approach enables the finite-difference scheme to mai...

(This article belongs to the Special Issue Advances in Mathematical Cryptography and Information Security toward Industry 5.0)
  • Article
  • Open Access
1 Citations
1,944 Views
37 Pages

Parallel Implicit Solvers for 2D Numerical Models on Structured Meshes

  • Yaoxin Zhang,
  • Mohammad Z. Al-Hamdan and
  • Xiaobo Chao

12 July 2024

This paper presents the parallelization of two widely used implicit numerical solvers for the solution of partial differential equations on structured meshes, namely, the ADI (Alternating-Direction Implicit) solver for tridiagonal linear systems and...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
10 Citations
4,000 Views
13 Pages

3 September 2021

During a severe accident in a nuclear power plant, hydrogen can be generated, leading to risks of possible deflagration and containment integrity failure. To manage severe accidents, great experimental, analytical, and benchmarking efforts are being...

(This article belongs to the Special Issue Selected Papers from 17th International Conference of Young Scientists on Energy and Natural Sciences Issues (CYSENI 2021))
  • Article
  • Open Access
9 Citations
3,724 Views
28 Pages

28 February 2023

We implement the Direction-Splitting solver originally proposed by Keating and Minev in 2013 and allow complex geometries to be described by a triangulation defined in STL files. We develop an algorithm that computes intersections and distances betwe...

(This article belongs to the Special Issue Advances in Numerical Methods for Multiphase Flows, Volume II)
  • Article
  • Open Access
14 Citations
5,028 Views
14 Pages

In this paper, we propose a novel attack on image encryption for privacy-preserving deep neural networks (DNNs). Although several encryption schemes have been proposed for privacy-preserving DNNs, existing cipher-text-only attacks (COAs) have succeed...

(This article belongs to the Special Issue Addressing Privacy and Data Protection in New Technological Trends)
  • Review
  • Open Access
17 Citations
4,091 Views
23 Pages

Solver participation plays a critical role in the sustained development of knowledge-intensive crowdsourcing (KI-C) systems. Extant theory has highlighted numerous factors that influence solvers’ participation behaviors in KI-C. However, a stru...

(This article belongs to the Section Digital Marketing and the Evolving Consumer Experience)
  • Article
  • Open Access
16 Citations
2,827 Views
26 Pages

A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis

  • Sania Qureshi,
  • Francisco I. Chicharro,
  • Ioannis K. Argyros,
  • Amanullah Soomro,
  • Jihan Alahmadi and
  • Evren Hincal

21 May 2024

This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-order convergence. The method is specifically tailored to meet the optimality condition under the Kung–Traub conjecture by linear combination. This met...

(This article belongs to the Special Issue New Perspectives in Applied Mathematics with Nonlinear Equations and Dynamical Systems)
  • Article
  • Open Access
269 Views
28 Pages

21 September 2026

Urban last-mile routes must adapt when demand and network conditions change after dispatch. This study proposes a solver-independent multi-agent proximal policy optimization (MAPPO) framework that combines a shared fleet policy, dynamically ranked ca...

(This article belongs to the Section Computational Intelligence)
  • Article
  • Open Access
3 Citations
3,403 Views
14 Pages

24 January 2019

This paper focuses on the channel state estimation (CSE) problem in parametrized Hierarchical MAC (H-MAC) stage in Wireless Physical Layer Network Coding (WPNC) networks with Hierarchical Decode and Forward (HDF) relay strategy. We derive a non-pilot...

(This article belongs to the Section Information and Communications Technology)
  • Article
  • Open Access
7 Citations
6,397 Views
21 Pages

Solvers’ wide and continuous participation is imperative for the sustainable development of online crowdsourcing platforms (OCPs). Prior studies have deeply investigated what and how solvers’ motives and demographics, task attributes, requester attri...

  • Article
  • Open Access
2,527 Views
11 Pages

2 January 2020

In particular, the problem of approximating a solution of an equation is of extreme importance in many disciplines, since numerous problems from diverse disciplines reduce to solving such equations. The solutions are found using iterative schemes sin...

(This article belongs to the Special Issue Iterative Numerical Functional Analysis with Applications)
  • Article
  • Open Access
2,849 Views
15 Pages

16 December 2022

It has been proven that extended resolution (ER) has more powerful reasoning than general resolution for the pigeonhole principle in Cook’s paper. This fact indicates the possibility that a solver based on extended resolution can exceed Boolean...

(This article belongs to the Section Combinatorial Optimization, Graph, and Network Algorithms)
  • Article
  • Open Access
26 Citations
8,612 Views
24 Pages

1 November 2013

At the heart of many computations in science and engineering lies the need to efficiently and accurately solve large sparse linear systems of equations. Direct methods are frequently the method of choice because of their robustness, accuracy and pote...

(This article belongs to the Special Issue Algorithms for Multi Core Parallel Computation)

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