Integral Methods in Science and Engineering: Theoretical and Computational Advances

Front Matter....Pages i-xxvii
Solvability of a Nonstationary Problem of Radiative–Conductive Heat Transfer in a System of Semi-transparent Bodies....Pages 1-13
The Nonstationary Radiative–Conductive Heat Transfer Problem in a Periodic System of Grey Heat Shields. Semidiscrete and Asymptotic Approximations....Pages 15-27
A Mixed Impedance Scattering Problem for Partially Coated Obstacles in Two-Dimensional Linear Elasticity....Pages 29-41
Half-Life Distribution Shift of Fission Products by Coupled Fission–Fusion Processes....Pages 43-55
DRBEM Simulation on Mixed Convection with Hydromagnetic Effect....Pages 57-68
Nonlinear Method of Reduction of Dimensionality Based on Artificial Neural Network and Hardware Implementation....Pages 69-79
On the Eigenvalues of a Biharmonic Steklov Problem....Pages 81-89
Shape Differentiability of the Eigenvalues of Elliptic Systems....Pages 91-97
Pollutant Dispersion in the Atmosphere: A Solution Considering Nonlocal Closure of Turbulent Diffusion....Pages 99-110
The Characteristic Matrix of Nonuniqueness for First-Kind Equations....Pages 111-117
On the Spectrum of Volume Integral Operators in Acoustic Scattering....Pages 119-127
Modeling and Implementation of Demand Dispatch Approach in a Smart Micro-Grid....Pages 129-141
Harmonic Functions in a Domain with a Small Hole: A Functional Analytic Approach....Pages 143-153
Employing Eddy Diffusivities to Simulate the Contaminants Dispersion for a Shear Dominated-Stable Boundary Layer....Pages 155-161
Analysis of Boundary–Domain Integral Equations for Variable-Coefficient Dirichlet BVP in 2D....Pages 163-175
Onset of Separated Water-Layer in Three-Phase Stratified Flow....Pages 177-194
An Integro-Differential Equation for 1D Cell Migration....Pages 195-207
The Multi-Group Neutron Diffusion Equation in General Geometries Using the Parseval Identity....Pages 209-221
Multi-Group Neutron Propagation in Transport Theory by Space Asymptotic Methods....Pages 223-234
Infiltration in Porous Media: On the Construction of a Functional Solution Method for the Richards Equation....Pages 235-245
A Soft-Sensor Approach to Probability Density Function Estimation....Pages 247-255
Two Reasons Why Pollution Dispersion Modeling Needs Sesquilinear Forms....Pages 257-266
Correcting Terms for Perforated Media by Thin Tubes with Nonlinear Flux and Large Adsorption Parameters....Pages 267-289
A Finite Element Method For Deblurring Images....Pages 291-299
Mathematical Modeling to Quantify the Pharmacokinetic Process of [18F]2-fluor-2deoxy-D-glucose (FDG)....Pages 301-308
Multi-Particle Collision Algorithm for Solving an Inverse Radiative Problem....Pages 309-319
Performance of a Higher-Order Numerical Method for Solving Ordinary Differential Equations by Taylor Series....Pages 321-328
Retinal Image Quality Assessment Using Shearlet Transform....Pages 329-339
The Radiative–Conductive Transfer Equation in Cylinder Geometry and Its Application to Rocket Launch Exhaust Phenomena....Pages 341-351
A Functional Analytic Approach to Homogenization Problems....Pages 353-359
Anisotropic Fundamental Solutions for Linear Elasticity and Heat Conduction Problems Based on a Crystalline Class Hierarchy Governed Decomposition Method....Pages 361-373
On a Model for Pollutant Dispersion in the Atmosphere with Partially Reflective Boundary Conditions....Pages 375-385
Asymptotic Approximations for Chemical Reactive Flows in Thick Fractal Junctions....Pages 387-399
BDIE System in the Mixed BVP for the Stokes Equations with Variable Viscosity....Pages 401-412
Calderón–Zygmund Theory for Second-Order Elliptic Systems on Riemannian Manifolds....Pages 413-426
The Regularity Problem in Rough Subdomains of Riemannian Manifolds....Pages 427-440
A Collocation Method Based on the Central Part Interpolation for Integral Equations....Pages 441-453
Evolutional Contact with Coulomb Friction on a Periodic Microstructure....Pages 455-470
Piecewise Polynomial Collocation for a Class of Fractional Integro-Differential Equations....Pages 471-482
A Note on Transforming a Plane Strain First-Kind Fredholm Integral Equation into an Equivalent Second-Kind Equation....Pages 483-493
Asymptotic Analysis of the Steklov Spectral Problem in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions....Pages 495-507
Semi-Analytical Solution for Torsion of a Micropolar Beam of Elliptic Cross Section....Pages 509-513
L1 Regularized Regression Modeling of Functional Connectivity....Pages 515-526
Automatic Separation of Retinal Vessels into Arteries and Veins Using Ensemble Learning....Pages 527-538
Study of Extreme Brazilian Meteorological Events....Pages 539-550
The Neutron Point Kinetics Equation: Suppression of Fractional Derivative Effects by Temperature Feedback....Pages 551-562
Comparison of Analytical and Numerical Solution Methods for the Point Kinetics Equation with Temperature Feedback Free of Stiffness....Pages 563-575
The Wind Meandering Phenomenon in an Eulerian Three-Dimensional Model to Simulate the Pollutants Dispersion....Pages 577-589
Semilinear Second-Order Ordinary Differential Equations: Distances Between Consecutive Zeros of Oscillatory Solutions....Pages 591-598
Oscillation Criteria for some Third-Order Linear Ordinary Differential Equations....Pages 599-605
Oscillation Criteria for some Semi-Linear Emden–Fowler ODE....Pages 607-615
Analytic Representation of the Solution of Neutron Kinetic Transport Equation in Slab-Geometry Discrete Ordinates Formulation....Pages 617-627
New Constructions in the Theory of Elliptic Boundary Value Problems....Pages 629-641
Optimal Control of Partial Differential Equations by Means of Stackelberg Strategies: An Environmental Application....Pages 643-655
An Overview of the Modified Buckley–Leverett Equation....Pages 657-673
Influence of Stochastic Moments on the Solution of the Neutron Point Kinetics Equation....Pages 675-686
The Hamilton Principle for Mechanical Systems with Impacts and Unilateral Constraints....Pages 687-699
Numerical Solutions and Their Error Bounds for Oscillatory Neural Networks....Pages 701-710
Back Matter....Pages 711-717