Integral Methods in Science and Engineering

The Proceedings of the Fifth International Conference on Integral Methods in Science and Engineering, form a collection of papers addressing the solution of mathematical problems from various physical domains by integral methods in conjunction with various approximation schemes. Written by acknowledged experts, these peer-reviewed papers offer recent developments in both theory and application valuable to applied mathematicians, engineers, and physicists.

Mathematical Modeling of N-Body Quantum Scattering ProcessesMicrohydrodynamics of Sharp Corners and EdgesAcoustic Scattering by Irregular ObstaclesOn Generalized Inverse Steklov ProblemsA Hybrid Root FinderVolterra Type Integral Geometry ProblemsInversionof the X-Ray Transform and the Radon Transform with Incomplete DataReconstructing a Function by means of Integrals over a Family of Conical SurfacesOn the use of Wavelet Expansions and the Conjugate Gradient Method for Solving First Kind Integral EquationsOptimal Algorithms for the Calculation of Singular IntegralsAn Order One Approximate Method of Solution of Differential and Integral EquationsA Multigrid Method for Solving Reaction-Diffusion SystemsTime-Dependent Bending of Plates with Transverse Shear DeformationPolarization Gradient in Piezoelectric Micropolar ElasticityThermoelastic Stress Separation via Poisson Equation Solution by means of the Boundary Element MethodOn Neutral Functional Differential Equations with Causal OperationsA Semi-Analytic Method for the Study of Acoustic Pulse Propagation in Inhomogeneous Elastic 1-D MediaEfficient Finite Elements for the Numerical Approximation of Cylindrical ShellsError Estimates for Computing Fixed Densities of Markov Integral OperatorsA Modified Monte Carlo Approach to the Approximation of Invariant MeasuresAcceleration Waves in von Kármán Plate TheoryDynamics and Resonance of a Nonlinear Mechanical Oscillator Subjected to Parametric and External ExcitationOn the Vibration of Helical SpringsA Two-Dimensional Numerical Model of ChemotaxisAsymptotic Analysis of Fracture Theory for Layered Composites in Compression (The Plane Problem)Existence and Regularity of Weak Solutions to the Displacement Boundary Value Problem of Nonlinear ElastostaticsOn Convergence and Uniqueness of Microscale Heat Transfer EquationOn Numerical Approximations of a Frictionless Contact Problem for Elastic-Viscoplastic MaterialsA Panel Clustering Method for 3-D Elastostatics using Spherical HarmonicsExtensions of Constrained Least-Squares for Obtaining Regularized Solutions to First-Kind Integral EquationsExistence and Nonexistence Results for some Boundary Value Problems at ResonanceAnalytic Investigation of Thick Anisotropic Plates with Undulating SurfacesOn Stoke's Nonlinear Integral Wave EquationDynamics of the Spurt Phenomenon for Single History Integral Constitutive EquationsA Boundary Integral Equation Method for the Heat EquationComputational Simulation and Interfacial Shear Models for Downward Annular Wavy-Interface Condensing Flow in a Vertical PipeCompact Fourth-Order Approximation for a Nonlinear Reaction-Diffusion Equation arising in Population GeneticsDynamic Deformation of a Layered Continuum Surrounding a Cylindrical or Spherical CavityBoundary Value Problems for Harmonic Vector Fields on Non-Smooth DomainsThe Oblique Derivative Problem for General Elliptic Systems in Lipschitz DomainsViscous Aerodynamic Optimal Design of Flying Configurations via an Enlarged Variational MethodInterface Crack Problem for a Piecewise Homogeneous Anisotropic PlaneMicromechanics of Heterogeneous MaterialsAdmissibility and Optimal Control for Stochastic Difference EquationsLinear and Sublinear Tricomi via DFIMultidimensional Fractional Integrals on Spaces of Smooth FunctionsPiecewise Polynomial Projection Methods for Nonlinear, Multidimensional, Weakly Singular Integral EquationsAsymptotics and Inequalities for a Class of Infinite SumsA New Theorem Concerning the Buckingham-Rayleigh Methods and General Dimensional AnalysisEnergy Decay for a Weak Solution of the Non-Newtonian Fluid Equations with Slowly Varying External ForcesAn Integral Representation for the Solution of 2-D Non-Stationary Flow of Micropolar FluidsA Monotonically Convergent Adaptive Method for Nonlinear Combustion ProblemsStationary Oscillations of Elastic Plates with Robin Boundary ConditionsAdapter and Driver Design for Rotary EncodersExpert System Design for Fault Diagnosing in CNC Machine ToolsNon-Ideal Liquid Solutions Modeling by means of Integral MethodsSymmetry Groups, Conservation Laws, and Group-Invariant Solutions of the Marguerre-von Kármán EquationsModeling the Motion of an Underwater Explosion BubbleOn some New Systems of N-ary Integral EquationsComputational Simulations and Flow Domain Classification for Laminar/Laminar annular/Stratified Condensing Flows