Integral Methods in Science and Engineering
Techniques and Applications
1st Edition
Published on 3. November 2007
XVI, 298 pages
978-0-8176-4671-4 (ISBN)
Description
This self-contained work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book 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.
Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level.
Reviews / Votes
From the reviews:
"The international conferences with the generic title of Integral Methods in Science and Engineering (IMSE) are forum where academics and other researches whose really significantly (analytic or numerical) ntegration methods in their integrations present their newest results and exchange ideas related to future projects. The book contains 32 articles esented at IMSE2006. . The remarkable original papers included in this volume offer to researchers a rich scientific support in this area." (Ariadna Lucia Pletea, Iasi Polytechnic Magazine, Vol. 21 (1/4), March/December, 2009)More details
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11/2007
Birkhauser Boston Inc
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Content
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.
