4.7 Editorial Material

Preface to the Special Issue on Numerical Computation, Data Analysis and Software in Mathematics and Engineering

Related references

Note: Only part of the references are listed.
Article Mathematics

The Improved Element-Free Galerkin Method for 3D Helmholtz Equations

Heng Cheng et al.

Summary: This paper proposes an improved element-free Galerkin method for solving 3D Helmholtz equations. The method utilizes the improved moving least-squares approximation and penalty technique to ensure accurate solutions. Numerical results demonstrate that the proposed method enhances computational speed and eliminates the singular matrix phenomenon.

MATHEMATICS (2022)

Article Green & Sustainable Science & Technology

Industry structure optimization via the complex network of industry space: A case study of Jiangxi Province in China

Jing Cheng et al.

Summary: This paper investigates the optimization of industry structure in Jiangxi Province, China based on the complex network of industry space. The location quotient and conditional probability are used to analyze the interdependencies between industries. The complex network of industry space is presented to illustrate the relatedness among industries and analyze the space and structure of the regional overall industry. The index of transitional potential and the transformation difficulty index of industry are proposed to measure the potential and difficulty level of industry transformation. The results show that positive interdependencies exist between industries in Jiangxi Province, and cities with higher GDP are more likely to specialize in common industries. The analysis of industries with positive interdependencies provides detailed directions for industry structure optimization. Policy implications are proposed and can be applied to other developing countries.

JOURNAL OF CLEANER PRODUCTION (2022)

Article Environmental Studies

Analyzing the Land Leasing Behavior of the Government of Beijing, China, via the Multinomial Logit Model

Jing Cheng et al.

Summary: This paper analyzes the government behavior of leasing different land use rights in Beijing, China, using data analysis based on the multinomial logit model. The study finds that various factors such as land features, geographical location, district economic development, government finance, and political tenure of district heads influence the government's decision on leasing land. The results and implications of the study can be useful for other metropolises in China and developing countries with public land ownership.
Article Mathematics

A Dimension Splitting Generalized Interpolating Element-Free Galerkin Method for the Singularly Perturbed Steady Convection-Diffusion-Reaction Problems

Fengxin Sun et al.

Summary: The DS-GIEFG method combines the dimension splitting method with GEFG and IIMLS methods to analyze numerical solutions of singularly perturbed steady CDR problems, effectively dividing the problem into lower-dimensional ones and achieving high computational efficiency and accuracy.

MATHEMATICS (2021)

Article Mathematics

An Extended Car-Following Model Based on Visual Angle and Electronic Throttle Effect

Hongxia Ge et al.

Summary: This study introduces a car-following model considering the electronic throttle, and derives two equations through stability analysis and nonlinear analysis. Numerical simulations show that the visual angle and electronic throttle can enhance traffic flow stability.

MATHEMATICS (2021)

Article Mathematics

Deep Learning Approach to Mechanical Property Prediction of Single-Network Hydrogel

Jing-Ang Zhu et al.

Summary: In this paper, a deep learning approach is developed to predict the mechanical properties of hydrogels from polymer network structures, showing that deep learning models can effectively capture the internal relationship between complex network structures and mechanical properties of hydrogels. This method may provide guidance for structural design and material property design of different soft materials.

MATHEMATICS (2021)

Article Mathematics

Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model

Huimin Liu et al.

Summary: By analyzing the impact of strong wind and the optimal estimation of flux difference integral, a modified lattice hydrodynamic model is proposed to stabilize traffic flow. Numerical simulation shows that stronger wind increases traffic flow stability, and the optimal estimation of flux difference integral also contributes to stabilization. The new model proves to make traffic flow more stable according to both simulation and theoretical findings.

MATHEMATICS (2021)

Article Mathematics

Research on Dynamic Response Characteristics for Basement Structure of Heavy Haul Railway Tunnel with Defects

Jinfei Chai

Summary: This paper establishes an elastoplastic damage constitutive model of concrete based on the basic principle of thermodynamics. Through numerical simulation, the dynamic response and damage distribution of the base structure of a heavy haul railway tunnel under different conditions are studied. The research results have important theoretical and practical significance for further analysis of the damage mechanism and control technology of the foundation structure of a heavy haul railway tunnel with defects.

MATHEMATICS (2021)

Article Mathematics

Analysis of a Novel Two-Dimensional Lattice Hydrodynamic Model Considering Predictive Effect

Huimin Liu et al.

Summary: This study introduces a novel traffic flow model considering the driver's predictive effect. Results from numerical simulations and theoretical analysis show that the driver's predictive effect can effectively improve the stability of traffic flow, reduce traffic congestion, and enhance traffic flow stability.

MATHEMATICS (2021)

Article Mathematics

A Smart Helmet-Based PLS-BPNN Error Compensation Model for Infrared Body Temperature Measurement of Construction Workers during COVID-19

Li Li et al.

Summary: A smart helmet equipped with an infrared temperature sensor was developed in this study to track and monitor body temperature of construction personnel. A PLS-BPNN temperature error compensation model was established to correct temperature measurement results, which showed higher accuracy and reliability with a determination coefficient of 0.99377. The model reduced the relative average error of infrared body temperature by 2.745°C and RMSE by 0.9849, with a relative error range of only 0.005~0.143°C in temperature detection.

MATHEMATICS (2021)

Article Mathematics

Structural Optimization and Application Research of Alkali-Activated Slag Ceramsite Compound Insulation Block Based on Finite Element Method

Xiaona Fan et al.

Summary: This study focused on the research and application of new wall materials, particularly the alkali-activated slag ceramsite compound insulation block (AASCCIB). Using finite element method and multi-objective optimization analysis, AASCCIB B1 was determined to have the optimal comprehensive performance. Compared to ordinary block walls, the AASCCIB walls showed significant improvement in the indoor thermal environment.

MATHEMATICS (2021)

Article Mathematics

Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics

Zili Dai et al.

Summary: The study introduces a dual-horizon peridynamics (DH-PD) model incorporating volume correction, surface correction, and nonuniformity discretization to enhance calculation accuracy and efficiency. Verification of the model reliability and calculation accuracy is done through simulations of concrete specimen fracture and double-edged notched specimen damage. Comparisons with experimental data, traditional PD model numerical solutions, and finite element model outputs validate the calculation accuracy of the corrected DH-PD model and its advantages over other models.

MATHEMATICS (2021)

Article Mathematics

A Dimension Splitting-Interpolating Moving Least Squares (DS-IMLS) Method with Nonsingular Weight Functions

Jufeng Wang et al.

Summary: The DS-IMLS method utilizes dimension splitting to reduce matrix dimension and computational complexity in calculating shape functions, achieving high accuracy in approximations and derivatives. It is utilized in an improved IEFG method for two-dimensional potential problems, resulting in high accuracy in numerical solutions.

MATHEMATICS (2021)

Article Mechanics

A Hybrid Reproducing Kernel Particle Method for Three-Dimensional Advection-Diffusion Problems

Piaopiao Peng et al.

Summary: In this paper, a hybrid reproducing kernel particle method (HRKPM) for three-dimensional advection-diffusion problems is proposed, which transforms the 3D problem into a series of related 2D problems through dimension splitting and establishes discrete equations through the RKPM method coupled by difference method. Numerical results show that the HRKPM has higher computational efficiency than the RKPM when solving 3D advection-diffusion problems.

INTERNATIONAL JOURNAL OF APPLIED MECHANICS (2021)

Article Mathematics

Analysis of Elastic-Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method

Yajie Deng et al.

Summary: A numerical model for the two-dimensional nonlinear elastic-plastic problem has been proposed based on the IICVEFG method and incremental tangent stiffness matrix method. The viability of the model has been verified through three elastic-plastic examples, showing good convergence and higher computing precision and efficiency compared to non-interpolating meshless methods. The solutions obtained using the IICVEFG method are consistent with those from finite element methods using ABAQUS program.

MATHEMATICS (2021)

Article Mathematics

A Method for Rapid Prediction of Edge Defects in Cold Roll Forming Process

Zhijuan Meng et al.

Summary: A new analytical method has been proposed for rapidly predicting edge defects in the cold roll forming process by analyzing the mean longitudinal strain of the racks. By comparing the mean longitudinal strain with the material's yield strain, defects at the edges can be determined and corrective actions can be taken. The method's validity was demonstrated through an example and comparison with non-linear finite element analysis software results, showing its potential usefulness in guiding the design process.

MATHEMATICS (2021)

Article Mathematics

Mathematical Models and Data Analysis of Residential Land Leasing Behavior of District Governments of Beijing in China

Jing Cheng

Summary: This study analyzes the leasing behavior of residential land in Beijing using mathematical models and regression formulas to determine the influencing factors and numerical results of the district government's behavior. The results show how government factors impact the leased price and total area of residential land in Beijing, leading to policy implications for district government regarding residential land leasing in the city.

MATHEMATICS (2021)

Article Engineering, Multidisciplinary

The dimension splitting reproducing kernel particle method for three-dimensional potential problems

P. P. Peng et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2020)

Article Mechanics

The Improved Element-Free Galerkin Method for Diffusional Drug Release Problems

Guodong Zheng et al.

INTERNATIONAL JOURNAL OF APPLIED MECHANICS (2020)

Article Engineering, Multidisciplinary

The hybrid element-free Galerkin method for three-dimensional wave propagation problems

Z. J. Meng et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2019)

Article Engineering, Multidisciplinary

The improved element-free Galerkin method for three-dimensional elastoplasticity problems

S. Y. Yu et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2019)

Article Engineering, Multidisciplinary

The dimension splitting and improved complex variable element-free Galerkin method for 3-dimensional transient heat conduction problems

H. Cheng et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2018)

Article Mechanics

A Fast Complex Variable Element-Free Galerkin Method for Three-Dimensional Wave Propagation Problems

Heng Cheng et al.

INTERNATIONAL JOURNAL OF APPLIED MECHANICS (2017)

Review Mechanics

Advances in Mechanics of Soft Materials: A Review of Large Deformation Behavior of Hydrogels

Zishun Liu et al.

INTERNATIONAL JOURNAL OF APPLIED MECHANICS (2015)

Article Mechanics

THE INTERPOLATING ELEMENT-FREE GALERKIN (IEFG) METHOD FOR TWO-DIMENSIONAL ELASTICITY PROBLEMS

Hongping Ren et al.

INTERNATIONAL JOURNAL OF APPLIED MECHANICS (2011)

Article Mechanics

THE COMPLEX VARIABLE ELEMENT-FREE GALERKIN (CVEFG) METHOD FOR TWO-DIMENSIONAL ELASTICITY PROBLEMS

Miaojuan Peng et al.

INTERNATIONAL JOURNAL OF APPLIED MECHANICS (2009)