Potapenko Integral Methods in Science and Engineering

Techniques and Applications
1. Auflage 2007
ISBN: 978-0-8176-4671-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 298 Seiten, eBook

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.

Zielgruppe

Research

Autoren/Hrsg.

Potapenko, S.

Inhaltsverzeichnis

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 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 Advection–Diffusion Equation by the Laplace Transformation.- On Quasimodes for Spectral Problems Arising in Vibrating Systems with Concentrated Masses.- Two-Sided Estimates for Local Minimizers in Compressible Elasticity.- Harmonic Oscillations in a Linear Theory of Antiplane Elasticity withMicrostructure.- Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems.- Direct Boundary Element Method with Discretization of All Integral Operators.- Reciprocity in Elastomechanics: Development of Explicit Results for Mixed Boundary Value Problems.- Integral Equation Modeling of Electrostatic Interactions in Atomic Force Microscopy.- Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity.- Euler–Bernoulli Beam with Energy Dissipation: Spectral Properties and Control.- Correct Equilibrium Shape Equation of Axisymmetric Vesicles.- Properties of Positive Solutions of the Falkner–Skan Equation Arising in Boundary Layer Theory.- Stabilization of a Four-Dimensional System under Real Noise Excitation.