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