Integral Methods in Science and Engineering Techniques and Applications [Hardcover]

This self-contained work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The chapters contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena and use a wide range of solution techniques. This is a useful and practical guide.

Superconvergence of Projection Methods for Weakly Singular Integral Operators.- On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels.- Numerical Solution of Integral Equations in Solidification and Melting with Spherical Symmetry.- An Analytic Solution for the Steady-State Two-Dimensional AdvectionDiffusionDeposition Model by the GILTT Approach.- Analytic Two-Dimensional Atmospheric Pollutant Dispersion Simulation by Double GITT.- Transient Acoustic Radiation from a Thin Spherical Elastic Shell.- The Eigenfrequencies and Mode Shapes of Drilling Masts.- Layer Potentials in Dynamic Bending of Thermoelastic Plates.- Direct Methods in the Theory of Thermoelastic Plates.- The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation.- Some Remarks on Homogenization in Perforated Domains.- Dynamic Response of a Poroelastic Half-Space to Harmonic Line Tractions.- Convexity Conditions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity.- The Mathematical Modeling of Syringomyelia.- A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations.- Fast Numerical Integration Method Using Taylor Series.- Boundary Integral Solution of the Two-Dimensional Fractional Diffusion Equation.- About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains.- On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces.- Solutions of the Atmospheric AdvectionDiffusion Equation by the Laplace Transformation.- On Quasimodes folS2