Integral Methods in Science and Engineering Techniques and Applications /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Constanda, C. (Επιμελητής έκδοσης), Potapenko, S. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston, 2008.
• Θέματα: Mathematics.; Integral equations.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computational intelligence.; Integral Equations.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Computational Intelligence.; Ordinary Differential Equations.; Partial Differential Equations.

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, the...

Πίνακας περιεχομένων:

• 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 with Microstructure
• 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.