The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems.

Preface.- Collocation Method for Cauchy Integral Equations in L^2.- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology.- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation.- A General Analytical Solution of the Advection-Diffusion Equation for Fickian Closure.- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control.- Adaptive Particle Filter for Stable Distribution.- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique.- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis.- Efficient Iterative Methods for Fast Solution of Integral Operators.- Analysis of Some Localized Boundary-Domain Integral Equations for Transmission Problems with Variable Coefficients.- Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains.- Thermoelastic Plates with Arc-Shaped Cracks.- Almost Periodicity in Semilinear Systems.- Bubble Behavior Near a Two-Fluid Interface.- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary.- Spectra and Pseudospectra of the Convection-Diffusion Operator.- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance.- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation.- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals.- Numerical Experiments for Mammary Adenocarcinoma Cell Progression.- Limiting Cases of Subdiffusion.- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures.- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading.- Asymptotic Behavior of Elliptic Quadric Algebraic Equations withVariable Coefficients and Aerodynamical Applications.- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources.- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques.- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack.- Design and Performance of Gas-Liquid Cylindrical Cyclone/Slug Damper System.- On the Quasimodes for compact Operators and Associated Evolution Problems.- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation.- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System.- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation.- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances.- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions.- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains.- Optimizing Water Quality in a River Section.- Boundary Integral Equations for Arbitrary Geometry Shells.