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. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Thirteenth International Conference on Integral Methods in Science and Engineering, held July 21–25, 2014, in Karlsruhe, Germany. A broad range of topics is addressed, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. 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.
Author(s): Christian Constanda, Andreas Kirsch
Edition: 1
Publisher: Birkhäuser Basel
Year: 2015
Language: English
Pages: 706
Tags: Ordinary Differential Equations; Partial Differential Equations; Integral Equations; Numerical Analysis; Continuum Mechanics and Mechanics of Materials
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
