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This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in Science and Engineering, held July 16-20, 2018 at the University of Brighton, UK, and are written by internationally recognized researchers.
The topics addressed are wide ranging, and include
Asymptotic analysis
Boundary-domain integral equations
Viscoplastic fluid flow
Stationary waves
Interior Neumann shape optimization
Self-configuring neural networks
This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.
Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind
On the Flow of a Viscoplastic Fluid in a Thin Periodic Domain
q-Calculus Formalism for Non-extensive Particle Filter
Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem with General Data
Two-Operator Boundary-Domain Integral Equations for Variable Coefficient Dirichlet Problem in 2D
Solution of a Homogeneous Version of Love Type Integral Equation in Different Asymptotic Regimes
A Semi-analytical Solution for One-Dimensional Oil Displacement by Miscible Gas in a Homogeneous Porous Medium
Bending of Elastic Plates: Generalized Fourier Series Method for the Robin Problem
The Adjoint Spectral Green’s Function Method Applied to Direct and Inverse Neutral Particle Source–Detector Problems
Relaxation of Periodic and Nonstandard Growth Integrals by Means of Two-Scale Convergence
A Stiff Problem: Stationary Waves and Approximations
Modelling Creep in Concrete Under a Variable External Load
A Combined Boundary Element and Finite Element Model of Cell Motion due to Chemotaxis
Numerical Calculation by Quadruple Precision Higher Order Taylor Series Method of the Pythagorean Problem of Three Bodies
Shape Optimization for Interior Neumann and Transmission Eigenvalues
On the Integro-Differential Radiative Conductive Transfer Equation: A Modified Decomposition Method
Periodic Transmission Problems for the Heat Equation
On United Boundary-Domain Integro-Differential Equations for Variable Coefficient Dirichlet Problem with General Right-Hand Side
Rescaling and Trace Operators in Fractional Sobolev Spaces on Bounded Lipschitz Domains with Periodic Structure
Design and Performance of a Multiphase Flow Manifold
On the Polarization Matrix for a Perforated Strip
Operator Perturbation Approach for Fourth Order Elliptic Equations with Variable Coefficients
Extension of the Fully Lagrangian Approach for the Integration of the Droplet Number Density on Caustic Formations
The Nodal LTSN Solution in a Rectangular Domain: A New Method to Determine the Outgoing Angular Flux at the Boundary
Image Processing for UAV Autonomous Navigation Applying Self-configuring Neural Network
Towards the Super-Massive Black Hole Seeds
Decomposition of Solutions of the Wave Equation into Poincaré Wavelets
The Method of Fundamental Solutions for Computing Interior Transmission Eigenvalues of Inhomogeneous Media
Tensor Product Approach to Quantum Control
Epidemic Genetic Algorithm for Solving Inverse Problems: Parallel Algorithms
A Chemical Kinetics Extension to the Advection-Diffusion Equation by NOx and SO2
On the Development of an Alternative Proposition of Cross Wavelet Analysis for Transient Discrimination Problems
A Simple Non-linear Transfer Function for a Wiener-Hammerstein Model to Simulate Guitar Distortion and Overdrive Effects
Existence of Nonlinear Problems: An Applicative and Computational Approach
Solving Existence Problems via F-Reich Contraction
On the Convergence of Dynamic Iterations in Terms of Model Parameters