Numerical Computation, Data Analysis and Software in Mathematics and Engineering

• Other Authors: Cheng, Yumin (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• Subjects: Information technology industries; cold-roll forming; longitudinal strain; cubic spline function; cumulative chord; elastic-plastic problem; complex variable meshless method; interpolating shape function; singular weight function; complete basis function; mathematical model; leased price; total leased area; data analysis; residential land; Beijing; meshless method; dimension splitting-interpolating moving least squares (DS-IMLS) method; improved interpolating element-free Galerkin (IEFG) method; potential problem; traffic flow; two-dimensional lattice hydrodynamic model; driver's predictive effect; finite element method; alkali-activated slag ceramsite compound insulation block; ANSYS CFX; thermal and mechanical performances; indoor thermal environment; dimension splitting method; dimension splitting generalized interpolating element-free Galerkin method; convection-diffusion-reaction problem; deep learning; hydrogel network; mechanical property; convolutional neural network; self-avoiding walk; personnel health monitoring; construction site management; smart helmet; infrared temperature measurement; temperature error compensation; BP neural network; COVID-19; peridynamics; dual-horizon; crack propagation; variable horizon; multi-grid; car-following model; visual angle model; electronic throttle angle; stability analysis; heavy haul; railway tunnel; basement structure; dynamic response characteristics; defects; the lattice hydrodynamic model; control signal; strong wind; optimal estimation of flux difference integral; improved element-free Galerkin method; Helmholtz equation; penalty method; improved moving least-squares approximation; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

The present book contains 14 articles that were accepted for publication in the Special Issue "Numerical Computation, Data Analysis and Software in Mathematics and Engineering" of the MDPI journal Mathematics. The topics of these articles include the aspects of the meshless method, numerical simulation, mathematical models, deep learning and data analysis. Meshless methods, such as the improved element-free Galerkin method, the dimension-splitting, interpolating, moving, least-squares method, the dimension-splitting, generalized, interpolating, element-free Galerkin method and the improved interpolating, complex variable, element-free Galerkin method, are presented. Some complicated problems, such as tge cold roll-forming process, ceramsite compound insulation block, crack propagation and heavy-haul railway tunnel with defects, are numerically analyzed. Mathematical models, such as the lattice hydrodynamic model, extended car-following model and smart helmet-based PLS-BPNN error compensation model, are proposed. The use of the deep learning approach to predict the mechanical properties of single-network hydrogel is presented, and data analysis for land leasing is discussed. This book will be interesting and useful for those working in the meshless method, numerical simulation, mathematical model, deep learning and data analysis fields.