Integral Methods in Science and Engineering: Computational and Analytic Aspects

Front Matter....Pages I-XXV
A Collocation Method for Cauchy Integral Equations in L 2 ....Pages 1-5
On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology....Pages 7-14
A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation....Pages 15-23
A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure....Pages 25-34
A Novel Method for Simulating Spectral Nuclear Reactor Criticality by a Spatially Dependent Volume Size Control....Pages 35-45
Adaptive Particle Filter for Stable Distribution....Pages 47-57
On the Analytical Solution of the Multi-Group Neutron Diffusion Kinetic Equation in One-Dimensional Cartesian Geometry by an Integral Transform Technique....Pages 59-67
Estimating the Validity of Statistical Energy Analysis Using Dynamical Energy Analysis: A Preliminary Study....Pages 69-78
Efficient Iterative Methods for Fast Solution of Integral Operators Related Problems....Pages 79-90
Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients....Pages 91-108
Analysis of Segregated Boundary–Domain Integral Equations for Mixed Variable-Coefficient BVPs in Exterior Domains....Pages 109-128
Thermoelastic Plates with Arc-Shaped Cracks....Pages 129-140
Almost Periodicity in Semilinear Systems....Pages 141-146
Bubble Behavior Near a Two Fluid Interface....Pages 147-158
Spectral Stiff Problems in Domains with a Strongly Oscillating Boundary....Pages 159-172
Spectra and Pseudospectra of a Convection–Diffusion Operator....Pages 173-180
A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance....Pages 181-190
Nonlinear Abel-Type Integral Equation in Modeling Creep Crack Propagation....Pages 191-201
Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals....Pages 203-211
Numerical Experiments for Mammary Adenocarcinoma Cell Progression....Pages 213-224
Limiting Cases of Subdiffusion....Pages 225-231
A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-Up Structures....Pages 233-240
2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading....Pages 241-252
Asymptotic Behavior of Elliptic Quadratic Algebraic Equations with Variable Coefficients, and Aerodynamical Applications....Pages 253-260
Artificial Neural Networks for Estimating the Atmospheric Pollutant Sources....Pages 261-271
A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques....Pages 273-286
Integro-Differential Equations for Stress Analysis in the Bridged Zone of Interface Cracks....Pages 287-298
Design and Performance of Gas–Liquid Cylindrical Cyclone/Slug Damper System....Pages 299-311
On Quasimodes for Compact Operators and Associated Evolution Problems....Pages 313-325
Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation....Pages 327-338
Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid–Rigid System....Pages 339-348
An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation....Pages 349-355
Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances....Pages 357-368
Semianalytical Approach to the Computation of the Laplace Transform of Source Functions....Pages 369-378
Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains....Pages 379-389
Optimizing Water Quality in a River Section....Pages 391-402
Boundary Integral Equations for Arbitrary Geometry Shells....Pages 403-414
Back Matter....Pages 415-419