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This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Seventeenth International Conference on Integral Methods in Science and Engineering, held virtually in July 2022, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool. Preface Contributors Computational Modelling Based on RIBEM Method for the Numerical Solution of Convection-Diffusion Equations Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem in 2D with General Right-Hand Side Implementation of Thermal Effects in Neutron Interactions in a Physical Monte Carlo Simulator On the Parameter Significance in Pandemic Modelling On a Variational Principle for Equilibrium Free Energy Functional of Simple Liquids Use of Variants of Seismic Signal Approximations by Proposed Sets of Functions for Statistical Structural Analysis Topics on Space Weather: Operational Numerical Prediction for Electron Content Ray-Tracing the Ulam Way The Robin Boundary Value Problem for an Unbounded Plate with a Hole A Mathematical Model of Cell Clustering A Revisit to a Double-Periodic Perforated Neumann Waveguide: Opening Spectral Gaps Spectral Homogenization Problems in Linear Elasticity: The Averaged Robin Reaction Matrix Time-Harmonic Oscillations of a Poroelastic Body with an Application to Modelling the Spinal Cord The Poly-Cauchy Operator, Whitney Arrays, and Fatou Theorems for Polyanalytic Functions in Uniformly Rectifiable Domains The Influence of the Refractive Index and Absorption Coefficients in the Solution of the Radiative Conductive Transfer Equation in Cartesian Geometry Boundary Value Problems for Elliptic Systems on Weighted Morrey Spaces in Rough Domains Recipes for Computer Implementation of a Response Matrix Spatial Spectral Nodal Method for Three-Dimensional Discrete Ordinates Neutral Particle Transport Modeling On Maximum Principles for Weak Solutions of Some Parabolic Systems Boundary Integral Equations Analysis of Bone Resorption Effect on Stress State Near Dental Implants Mathematical Modeling of Partially Miscible Water Alternating Gas Injection Using Geometric Thermodynamic Variables Generalised Model of Wear in Contact Problems: The Case of Oscillatory Load On the Philosophical Foundations of an Optimization Algorithm Inspired by Human Social Behaviour Under a Dynamical Status Distribution On Applications of the Optimization Algorithm DySDO On the Influence of the Signal to Noise Ratio on the Reconstruction of the Non-Linear Transfer Function in Signal Amplification An Analytic Solution for the Transient Three-Dimensional Advection–Diffusion Equation with Non-Fickian Closure by an Integral Transform Technique Failure Analysis of Composite Pipes Subjected to Bending: Classical Laminated Plate Theory vs. 3D Elasticity Solution The Analytical Formulation GILTT Applied in a Model of Contaminant Transport in Porous Media An Existence Result for a Class of Integral Equations via Graph-Contractions Some Convergence Results on the Periodic Unfolding Operator in Orlicz Setting Three-Phase Flow Zero-Net Liquid Holdup in Gas-Liquid Cylindrical Cyclone (GLCC) Error Propagation in Dynamic Iterations Applied to Linear Systems of Differential Equations
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