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.
Computational modelling based on RIBEM method for the numerical solution
of convection-diffusion equations (Al-Bayati).- Two-operator Boundary-Domain
Integral Equations for Variable-Coefficient Dirichlet Problem in 2D with
General Right-Hand Side (Ayele).- Implementation of Thermal Effects in
Neutron Interactions in a Physical Monte Carlo Simulator (Bodmann).- On the
Parameter Significance in Pandemic Modelling (Bodmann).- On a Variational
Principle for Equilibrium Free Energy Functional of Simple Liquids (Brikov).-
Use of variants of seismic signal approximations by proposed sets of
functions for statistical structural analysis (Brikov).- Topics on Space
Weather: Operational Numerical Prediction for Electron Content (de Campos
Velho).- Ray-tracing the Ulam way (Chappell).- The Robin Boundary Value
Problem for an Unbounded Plate with a Hole (Constanda).- A Mathematical Model
Of Cell Clustering (Harris).- A revisit to a double-periodic perforated
Neumann waveguide: opening spectral gaps(Pérez-Martínez).- Spectral
homogenization problems in linear elasticity: the averaged Robin reaction
matrix (Pérez-Martínez).- Time harmonic oscillations of a porous-elastic body
with an application to modelling the spinal cord (Harris).- The Poly-Cauchy
Operator, Whitney Arrays, and Fatou Theorems for Polyanalytic Functions in
Uniformly Rectifiable Domains (Mitrea).- The influence of the refractive
index and absorption coefficients in the solution of the radiative conductive
transfer equation in Cartesian geometry (Ladeia).- Boundary Value Problems
for Elliptic Systems onWeighted Morrey Spaces in Rough Domains (M. Mitrea).-
Recipes for Computer Implementation of a Response Matrix Spatial Spectral
Nodal Method for Three-dimensional Discrete Ordinates Neutral Particle
Transport Modeling (Barros).- On Maximum Principles for Weak Solutions of
some Parabolic Systems (Mikhailov).- Boundary integral equations analysis of
bones resorption effect on stresses state near dentalimplants (Perelmuter).-
Mathematical Modeling of Partially Miscible Water Alternating Gas Injection
Using Geometric Thermodynamic Variables (Puime Pires).- Generalised model of
wear in contact problems: the case of oscillatory load (Ponomarev).- On the
philosophical foundations of an optimization algorithm inspired by human
social behavior under a dynamical status distribution (de Oliveira).- On
applications of the optimization algorithm DySDO (de Oliveira).- On the
influence of the signal to noise ratio on the reconstruction of the
non-linear transfer function in signal amplification (Bodmann).- An Analytic
Solution for the Transient Three-Dimensional AdvectionDiffusion Equation
with Non-Fickian Closure by an Integral Transform Technique (Buske).- Failure
Analysis of Composite Pipes Subjected to Bending: Classical Laminated Plate
Theory vs. 3D Elasticity Solution (O. Menshykov).- The analytical formulation
GILTT applied in a model of contaminant transport in porous media (Buske).-
An Existence Result for a Class of Integral Equations via Graph-Contractions
(Younis).- Some Convergence Results on the Periodic Unfolding Operator in
Orlicz Setting (Zappale).- Three-Phase Flow Zero-Net Liquid Holdup in
Gas-Liquid Cylindrical Cyclone (GLCCc ) (Shoham).- Error Propagation in
Dynamic Iterations Applied to Linear Systems of Differential Equations
(Zubik-Kowal).
Christian Constanda is the holder of the C.W. Oliphant Chair in Mathematics at the University of Tulsa, USA, Emeritus Professor at the University of Strathclyde in Glasgow, UK, and the chairman of the Steering Committee of the International Consortium on Integral Methods in Science and Engineering. His list of publications includes 36 books and over 150 journal papers. He has taught mathematics at universities in four countries on three continents.
Paul J. Harris is Reader in Applied Mathematics at the University of Brighton. He has worked on using numerical methods to solve problems in applied mathematics for over 30 years. The problems he has worked on include computational acoustics and explosion bubble dynamics. More recently Dr Harris has concentrated using mathematics to solve biomedical problems including modelling the formation of cavities in the spinal cord and how cells move in response to chemical signal.
Bardo E.J. Bodmann is a Professor at the Engineering School of the Federal University of Rio Grande do Sul, Porto Alegre, RS, Brazil and an active memeber of the Integral Methods in Science and Engineering Consortium. Along his career he (co-)authored over a hundred articles in international scientific journals, several tenth book chapters and a few books. His current research interests focus on mathematical methods to solve classical as well as quantum transport problems. In the context of the latest developments works contemplate also physical Monte Carlo simulatations using parametrisations for multi-dimensional probability density functions and spectral distributions.
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