Skip to Content

79 Results Found

  • Article
  • Open Access
2,993 Views
18 Pages

Exact Analysis of the Finite Precision Error Generated in Important Chaotic Maps and Complete Numerical Remedy of These Schemes

  • Constantinos Chalatsis,
  • Constantin Papaodysseus,
  • Dimitris Arabadjis,
  • Athanasios Rafail Mamatsis and
  • Nikolaos V. Karadimas

A first aim of the present work is the determination of the actual sources of the “finite precision error” generation and accumulation in two important algorithms: Bernoulli’s map and the folded Baker’s map. These two computational schemes attract th...

  • Article
  • Open Access
2,391 Views
34 Pages

Analysis, Evaluation and Exact Tracking of the Finite Precision Error Generated in Arbitrary Number of Multiplications

  • Constantin Papaodysseus,
  • Dimitris Arabadjis,
  • Fotios Giannopoulos,
  • Athanasios Rafail Mamatsis and
  • Constantinos Chalatsis

25 May 2021

In the present paper, a novel approach is introduced for the study, estimation and exact tracking of the finite precision error generated and accumulated during any number of multiplications. It is shown that, as a rule, this operation is very “toxic...

  • Article
  • Open Access
1 Citations
2,806 Views
39 Pages

Numerical Resolution of Differential Equations Using the Finite Difference Method in the Real and Complex Domain

  • Ana Laura Mendonça Almeida Magalhães,
  • Pedro Paiva Brito,
  • Geraldo Pedro da Silva Lamon,
  • Pedro Américo Almeida Magalhães Júnior,
  • Cristina Almeida Magalhães,
  • Pedro Henrique Mendonça Almeida Magalhães and
  • Pedro Américo Almeida Magalhães

15 June 2024

The paper expands the finite difference method to the complex plane, and thus obtains an improvement in the resolution of differential equations with an increase in numerical precision and a generalization in the mathematical modeling of problems. Th...

  • Article
  • Open Access
7 Citations
2,215 Views
24 Pages

18 March 2023

Based on the traditional control approach, the position-tracking performance of the teleoperation system with communication delay is generally asymptotically stable. In practical applications, the closed-loop system is expected to achieve stable and...

  • Article
  • Open Access
3 Citations
3,365 Views
17 Pages

Contact Analysis for Cycloid Pinwheel Mechanism by Isogeometric Finite Element

  • Ke Zhang,
  • Caixia Guo,
  • Yutao Li,
  • Yuewen Su,
  • Bodong Zhang and
  • Peihu Gao

30 November 2023

Cycloid drives are generally used in precision machinery requiring high-reduction ratios, such as robot joint (RV) reducers. The contact stress of cycloidal gears greatly affects lifetime and transmission performance. Traditional finite element metho...

  • Article
  • Open Access
1 Citations
892 Views
24 Pages

3 July 2025

Tracking control of a quadrotor–slung load system is extremely challenging due to its under-actuation property, couple effects, and various uncertainties. This work proposes a composite backstepping control framework combining command filter co...

  • Article
  • Open Access
17 Citations
3,672 Views
20 Pages

30 July 2019

In order to monitor the variable-section wing deformation in real-time, this paper proposes a dynamic reconstruction algorithm based on the inverse finite element method and fuzzy network to sense the deformation of the variable-section beam structur...

  • Feature Paper
  • Article
  • Open Access
1,617 Views
19 Pages

How Far Can We Trust Chaos? Extending the Horizon of Predictability

  • Alexandros K. Angelidis,
  • Georgios C. Makris,
  • Evangelos Ioannidis,
  • Ioannis E. Antoniou and
  • Charalampos Bratsas

1 December 2025

Chaos reveals a fundamental paradox in the scientific understanding of Complex Systems. Although chaotic models may be mathematically deterministic, they are practically non-determinable due to the finite precision that is inherent in all computation...

  • Article
  • Open Access
1 Citations
4,805 Views
10 Pages

Despite his unreserved appreciation of Turing’s analysis for being a “precise and unquestionably adequate definition” of formal system or mechanical computability, Gödel nevertheless published a short note in 1972 claiming to h...

  • Article
  • Open Access
6 Citations
2,346 Views
19 Pages

15 September 2024

This paper presents an adaptive line-of-sight (LOS) guidance method, incorporating a finite-time sideslip angle observer to achieve precise planar path tracking of a bionic robotic fish driven by LOS. First, an adaptive LOS guidance method based on r...

  • Article
  • Open Access
12 Citations
2,336 Views
12 Pages

A Novel Spatio-Temporal Fully Meshless Method for Parabolic PDEs

  • Juan José Benito,
  • Ángel García,
  • Mihaela Negreanu,
  • Francisco Ureña and
  • Antonio M. Vargas

30 May 2022

We introduce a meshless method derived by considering the time variable as a spatial variable without the need to extend further conditions to the solution of linear and non-linear parabolic PDEs. The method is based on a moving least squares method,...

  • Article
  • Open Access
12 Citations
2,739 Views
24 Pages

5 December 2020

The recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sense that the scheme is extended to four spacetime dimensions and in the...

  • Article
  • Open Access
1 Citations
2,088 Views
14 Pages

Regularized regression methods have attracted much attention in the literature, mainly due to its application in high-dimensional variable selection problems. Most existing regularization methods assume that the predictors are directly observed and p...

  • Communication
  • Open Access
5 Citations
2,691 Views
15 Pages

Novel Real-Time Compensation Method for Machine Tool’s Ball Screw Thermal Error

  • Ren Rong,
  • Huicheng Zhou,
  • Yubin Huang,
  • Jianzhong Yang and
  • Hua Xiang

22 February 2023

The real-time compensation of thermal error in ball screws is an effective means to improve the accuracy of machining tools. However, the trade-off between robustness and computational efficiency of existing ball screw thermal error models is complic...

  • Article
  • Open Access
2 Citations
2,283 Views
29 Pages

Uncertainty Quantification for Epidemic Risk Management: Case of SARS-CoV-2 in Morocco

  • Lamia Hammadi,
  • Hajar Raillani,
  • Babacar Mbaye Ndiaye,
  • Badria Aggoug,
  • Abdessamad El Ballouti,
  • Said Jidane,
  • Lahcen Belyamani and
  • Eduardo Souza de Cursi

In this paper, we propose a new method for epidemic risk modelling and prediction, based on uncertainty quantification (UQ) approaches. In UQ, we consider the state variables as members of a convenient separable Hilbert space, and we look for their r...

  • Article
  • Open Access
462 Views
19 Pages

18 December 2025

The modern coinage industry ensures dimensional and weight precision, as well as improved surface quality, for its products. The speed of coin mass production requires increased performance for used machines and tools. Despite these, error incidence...

  • Communication
  • Open Access
1,644 Views
11 Pages

26 September 2024

This paper presents the design and validation of a high-precision angular vibration calibration system based on a laser vibrometer, aimed at meeting the high-precision requirements for measuring small angular vibrations. The system primarily consists...

  • Article
  • Open Access
1,225 Views
30 Pages

29 April 2025

The independent metering control system is renowned for its ability to independently regulate the flow and pressure of various actuators, achieving high efficiency and energy savings in hydraulic systems. The high-speed digital valve is known for its...

  • Review
  • Open Access
10 Citations
6,462 Views
17 Pages

Optoelectronic devices which play important roles in high-speed optical fiber networks can offer effective measurement methods for optoelectronic devices including optical modulators and photodetectors. Precise optical signal modulation is required f...

  • Article
  • Open Access
306 Views
22 Pages

31 January 2026

To address the limitations of traditional analytical modeling in capturing complex surface topographies, this paper presents comprehensive research on the error sensitivity mechanism, loaded tooth contact analysis (LTCA), and load-bearing contact cha...

  • Article
  • Open Access
1 Citations
418 Views
20 Pages

10 October 2025

This paper introduces an efficient improved class of estimators for the finite population median under a two-phase sampling scheme. The proposed estimators are developed using transformation techniques to improve the estimation precision over that of...

  • Article
  • Open Access
379 Views
31 Pages

4 March 2026

Large flange shafts are the core load-bearing and connecting components of high-end equipment, and their welding multi-physical fields directly affect the quality and service safety of the components. Traditional experiments and finite element method...

  • Article
  • Open Access
8 Citations
2,798 Views
16 Pages

9 October 2021

Elliptical vibration-assisted cutting technology has been widely applied in complicated functional micro-structured surface texturing. Elliptical-arc-beam spherical flexure hinges have promising applications in the design of 3D elliptical vibration-a...

  • Article
  • Open Access
634 Views
20 Pages

13 October 2025

This study proposes a sliding-mode-based adaptive control framework for symmetric quad-rotor altitude and attitude tracking under parametric uncertainties and mismatched disturbances. To address mismatched disturbances, a finite-time disturbance obse...

  • Article
  • Open Access
3 Citations
887 Views
19 Pages

16 April 2025

An efficient estimator can reduce both bias and mean squared error to provide more accurate results by using the transformation strategy. In this paper, an enhanced class of ratio–product types of estimators is introduced, which employs the tra...

  • Article
  • Open Access
3 Citations
1,929 Views
20 Pages

Modelling and Design Optimization of a Novel Compliant XY Positioner for Vibration-Assisted CNC Milling

  • Minh Phung Dang,
  • Chi Thien Tran,
  • Hieu Giang Le,
  • Vo Quoc Anh Tran and
  • Hong Van Tran

6 August 2024

Vibration-assisted machining, known as hybrid processing technology, offers several benefits over conventional machining methods. However, developing mechanical structure designs to generate a non-resonant frequency source remains challenging. The ob...

  • Article
  • Open Access
1 Citations
2,344 Views
19 Pages

26 April 2025

Background/Objectives: Dense genetic marker panels are increasingly used in kinship analysis for the identification of distant relatives. As more markers are available, it is possible to pinpoint IBD segments more precisely and more reliably, ultimat...

  • Article
  • Open Access
24 Citations
8,323 Views
14 Pages

Fourier Neural Operator for Fluid Flow in Small-Shape 2D Simulated Porous Media Dataset

  • Abouzar Choubineh,
  • Jie Chen,
  • David A. Wood,
  • Frans Coenen and
  • Fei Ma

1 January 2023

Machine Learning (ML) and/or Deep Learning (DL) methods can be used to predict fluid flow in porous media, as a suitable replacement for classical numerical approaches. Such data-driven approaches attempt to learn mappings between finite-dimensional...

  • Article
  • Open Access
10 Citations
4,183 Views
24 Pages

16 July 2018

The existing multi-sensor control algorithms for multi-target tracking (MTT) within the random finite set (RFS) framework are all based on the distributed processing architecture, so the rule of generalized covariance intersection (GCI) has to be use...

  • Article
  • Open Access
9 Citations
3,925 Views
14 Pages

Modeling of Flexible Bodies for the Study of Control in the Simulink Environment

  • Laura Salamina,
  • Daniele Botto,
  • Stefano Mauro and
  • Stefano Pastorelli

24 August 2020

When studying complex mechatronic systems, it is useful to build models able to simulate both the dynamics of the phenomenon and the control system applied. Typically, the bodies involved are modeled as rigid bodies. In this work, a technique for mod...

  • Article
  • Open Access
1 Citations
1,403 Views
21 Pages

Research on a New Method of Macro–Micro Platform Linkage Processing for Large-Format Laser Precision Machining

  • Longjie Xiong,
  • Haifeng Ma,
  • Zheng Sun,
  • Xintian Wang,
  • Yukui Cai,
  • Qinghua Song and
  • Zhanqiang Liu

31 January 2025

In recent years, the macro–micro structure (servo platform for macro motion and galvanometer for micro motion) composed of a galvanometer and servo platform has been gradually applied to laser processing in order to address the increasing deman...

  • Article
  • Open Access
187 Views
16 Pages

Multi-Point Stretch Forming Springback Prediction and Parameter Sensitivity Analysis Based on GWO-CatBoost

  • Xue Chen,
  • Dongmei Wang,
  • Chi Zhang,
  • Renwei Wang,
  • Changliang Zhang and
  • Yueteng Zhou

11 February 2026

Springback control in Multi-Point Stretch Forming (MPSF) is significantly hindered by the computational intensity of Finite Element Analysis (FEA) and the limited predictive robustness of traditional regression methods. This study develops a hybrid G...

  • Article
  • Open Access
1,598 Views
18 Pages

A Novel Simulation Model of Shielding Performance Based on the Anisotropic Magnetic Property of Magnetic Shields

  • Yuzheng Ma,
  • Minxia Shi,
  • Leran Zhang,
  • Teng Li,
  • Xuechen Ling,
  • Shuai Yuan,
  • Hanxing Wang and
  • Yi Gao

2 December 2024

To achieve a near-zero magnetic field environment, the use of permalloy sheets with high-performance magnetic properties is essential. However, mainstream welding processes for magnetically shielded rooms (MSRs), such as argon arc welding and laser w...

  • Article
  • Open Access
7 Citations
6,851 Views
18 Pages

24 August 2016

This paper presents a comprehensive analytical model for dual rotor radial flux wind generators based on the equivalent magnetic circuit method. This model is developed to predict the flux densities of the inner and outer air gaps, flux densities of...

  • Article
  • Open Access
1,338 Views
19 Pages

A Novel Inductive Displacement Sensor Based on Dual-Excitation and Single-Sensing Coils for Core Displacement Measurement

  • Longjiang Gao,
  • Qiwei Xu,
  • Yiru Miao,
  • Wei Zhang,
  • Chunlei Wang,
  • Mengshu Li and
  • Shihan Tang

30 April 2025

This article develops a new inductive displacement sensor with a segmented multi-group coil structure, which is suitable for the displacement measurement of control rods in nuclear reactors. Each group coil of the sensor consists of two excitation co...

  • Article
  • Open Access
271 Views
27 Pages

18 February 2026

In precision machining, the feed system is a critical subsystem. However, it can generate considerable frictional heat during operation, causing the temperature of the ball screw feed system to rise and resulting in thermal expansion of the ball scre...

  • Article
  • Open Access
2 Citations
770 Views
34 Pages

To address the challenges faced by multiple autonomous underwater vehicles (AUVs) in formation control under complex marine environments—such as model uncertainties, external disturbances, dynamic communication topology variations, and limited...

  • Article
  • Open Access
3 Citations
2,136 Views
22 Pages

Advancing FDM 3D Printing Simulations: From G-Code Conversion to Precision Modelling in Abaqus

  • Taoufik Hachimi,
  • Fouad Ait Hmazi,
  • Fatima Ezzahra Arhouni,
  • Hajar Rejdali,
  • Yahya Riyad and
  • Fatima Majid

This study presents a newly developed program that seamlessly converts G-code into formats compatible with Abaqus, enabling precise finite element simulations for FDM 3D printing. The tool operates on a two-pronged framework: a mathematical model inc...

  • Article
  • Open Access
6 Citations
2,999 Views
19 Pages

A High-Precision Elastic Reverse-Time Migration for Complex Geologic Structure Imaging in Applied Geophysics

  • Jinwei Fang,
  • Ying Shi,
  • Hui Zhou,
  • Hanming Chen,
  • Qingchen Zhang and
  • Ning Wang

24 July 2022

High-precision elastic reverse-time migration (ERTM) imaging has always been one of the trends in the development of geophysics. However, current wavefield simulations using time-domain finite-difference (FD) approaches in ERTM have second-order temp...

  • Article
  • Open Access
1 Citations
2,128 Views
20 Pages

A Homogenization Method for Replacement Stator Models in an Aero-Engine

  • Wenjun Wang,
  • Yu Fan,
  • Lin Li,
  • Yuning Zhang and
  • Zhiqiang Song

16 December 2022

Generally, the high-fidelity finite element models of aero-engines comprise millions of degrees of freedom (DOFs). Although they can provide precise predictions of structural dynamics, the computational cost will be often unaffordable if appropriate...

  • Article
  • Open Access
1,513 Views
26 Pages

Compliant mechanisms are often utilized in precise positioning systems but have not been thoroughly examined in vibration-aided fine CNC machining. This study aims to develop a new 02-DOF flexure stage for vibration-aided fine CNC milling. A hybrid d...

  • Article
  • Open Access
17 Citations
3,811 Views
20 Pages

12 September 2020

Due to the intermittent nature of wind, there exists a major disparity between the power generation from the wind and the demand of electricity. Hence, a sophisticated maximum power point tracking (MPPT) control paradigm must be formulated for maximi...

  • Article
  • Open Access
2 Citations
2,007 Views
20 Pages

28 October 2024

Crosshole ground penetrating radar (GPR) is an efficient method for ensuring the quality of retaining structures without the need for excavation. However, interpreting crosshole GPR data is time-consuming and prone to inaccuracies. To address this ch...

  • Article
  • Open Access
7 Citations
3,404 Views
20 Pages

Tendon Stress Estimation from Strain Data of a Bridge Girder Using Machine Learning-Based Surrogate Model

  • Sadia Umer Khayam,
  • Ammar Ajmal,
  • Junyoung Park,
  • In-Ho Kim and
  • Jong-Woong Park

24 May 2023

Prestressed girders reduce cracking and allow for long spans, but their construction requires complex equipment and strict quality control. Their accurate design depends on a precise knowledge of tensioning force and stresses, as well as monitoring t...

  • Article
  • Open Access
4 Citations
4,968 Views
9 Pages

The distribution of the sum of negative binomial random variables has a special role in insurance mathematics, actuarial sciences, and ecology. Two methods to estimate this distribution have been published: a finite-sum exact expression and a series...

  • Article
  • Open Access
1,145 Views
23 Pages

5 September 2025

Explosion-proof safety evaluation is critical for coal mine equipment operating in hazardous environments. Traditional methods rely on physical explosion testing, which is time-consuming, costly, and impractical for large-scale or complex systems. We...

  • Article
  • Open Access
4 Citations
1,995 Views
19 Pages

Automation of Rice Transplanter Using Agricultural Navigation

  • Zhidong Zhong,
  • Yifan Yao,
  • Jianyu Zhu,
  • Yufei Liu,
  • Juan Du and
  • Xiang Yin

Rice is the predominant grain crop in China, with its consumption showing a steady annual increase. Due to the diminishing labor force, China’s rice cultivation industry faces significant challenges and has an urgent requirement for automated r...

  • Article
  • Open Access
5 Citations
2,550 Views
20 Pages

Decentralized Virtual Impedance Control for Power Sharing and Voltage Regulation in Islanded Mode with Minimized Circulating Current

  • Mubashir Hayat Khan,
  • Shamsul Aizam Zulkifli,
  • Nedim Tutkun,
  • Ismail Ekmekci and
  • Alessandro Burgio

In islanded operation, precise power sharing is an immensely critical challenge when there are different line impedance values among the different-rated inverters connected to the same electrical network. Issues in power sharing and voltage compensat...

  • Article
  • Open Access
683 Views
18 Pages

Towards Generalized Bioimpedance Models for Bladder Monitoring: The Role of Waist Circumference and Fat Thickness

  • H. Trask Crane,
  • John A. Berkebile,
  • Samer Mabrouk,
  • Nicholas Riccardelli and
  • Omer T. Inan

16 December 2025

Continuous bladder volume monitoring in a wearable format can improve outcomes for patients with bladder dysfunction, heart failure, and other conditions requiring precise fluid management. Bioimpedance-based methods offer a promising, noninvasive so...

  • Article
  • Open Access
9 Citations
4,825 Views
20 Pages

Climbing Technique Evaluation by Means of Skeleton Video Stream Analysis

  • Raul Beltrán Beltrán,
  • Julia Richter,
  • Guido Köstermeyer and
  • Ulrich Heinkel

1 October 2023

Due to the growing interest in climbing, increasing importance has been given to research in the field of non-invasive, camera-based motion analysis. While existing work uses invasive technologies such as wearables or modified walls and holds, or foc...

of 2