Integral Methods in Science and Engineering: Techniques and Applications

The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration???the focus of this self-contained book. An outgrowth of the Ninth International Conference on.

Front Matter; 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 Advection-Diffusion-Deposition 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 MastsLayer 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 EquationsFast Numerical Integration Method Using…