Integral Methods in Science and Engineering

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53,49 

Techniques and Applications

ISBN: 0817646701
ISBN 13: 9780817646707
Herausgeber: S Potapenko
Verlag: Springer Basel AG
Umfang: xvi, 298 S., 62 s/w Illustr., 298 p. 62 illus.
Erscheinungsdatum: 13.11.2007
Auflage: 1/2008
Produktform: Gebunden/Hardback
Einband: GEB

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 Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, 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 the solution techniques range from theoretical integral equations to finite and boundary elements. Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more. 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.

Artikelnummer: 1168724 Kategorie:

Beschreibung

InhaltsangabeSuperconvergence of Projection Methods for Weakly Singular Integral Operators / M. Ahues, A. Largillier, and A. Amosov Exact Solution of the 2-D Problem on an Interfacial Crack Along an Imperfect Interface / Y. Antipov An Analysis of the Impact of a Thin Rigid Plate with a Horizontal Barrier / F. Badiu, J. Su, H. Shan, J. Zhu, and L. Xu An Analytic Solution for the Steady-State Two-Dimensional Diffusion-Advection-Deposition Model by the GILTT Approach / D. Buske, M. Vilhena, D. Moreira, and B. Bodmann On the Analytic Solution of the Langevin Equation by the Decomposition Method / J. Carvalho, M. Vilhena, R. Vargas, and B. Bodmann Analytic TwoDimensional Transient Atmospheric Pollutant Dispersion Simulation by Double GITT / M. Cassol, S. Wortmann, M. Vilhena, and H. de Campos Velho Transient Acoustic Radiation from a Thin Spherical Elastic Shell / D. Chappell, P. Harris, D. Henwood, and R. Chakrabarti The Proper Pulsations and Mode Shapes of Drilling Masts / S. Chergui Layer Potentials in Dynamic Bending of Thermoelastic Plates / I. Chudinovich and C. Constanda Direct Methods in the Theory of Thermoelastic Plates / I. Chudinovich and C. Constanda The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation / I. Chudinovich, C. Constanda, D. Doty, W. Hamill, and S. Pomeranz An Improved Version of the ADMM Approach / C. da Costa, M. Vilhena, D. Moreira, and B. Bodmann Weak Energy Minimizers and Critical Loads / G. del Piero A Multipower Double Iteration for Spectral Computations / F. Dias d'Almeida and P. Vasconcelos Nonuniqueness Problem and Natural Spaces for Linear Non-Fredholm Integral Equations / P. Dubovski On the Convergence and Determination of Limits of Some Sequences of Differential Operators / L. Floden, A. Holmbom, M. Olsson, and J. Silfver The TimeDependent Response of a Poroelastic Halfspace to Line Tractions / V. Gerasik and M. Stastna Convexity Conditions on Isotropic Strain-Energy Functions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity / S. Haidar Finite Element Modeling of Syringomyelia / P.J. Harris and C. Hardwidge A System Iterative Method for Solving First Kind, Degraded Identity Operator Equations / J. Hilgers, B. Bertram, and W. Reynolds Fast Numerical Integration Method by Taylor Series / H. Hirayama Boundary Element Methods for Evolution Equations with Positive Memory Kernel / J. Kemppainen and K. Ruotsalainen A Mathematical Model for Myocardium Motion During Early Diastole / A. Kermani, A. Suleman and P. Oshkai The Buckling of a Thin Ribbed Cylindrical Shell Under External Lateral Pressure / M. Kobchenko and S. Filippov On Improvement of Iterated Galerkin Solution of Second-Kind Integral Equations / R. Kulkarni On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels / B.V. Limaye Analysis of Boundary-Domain Integral and Integro-Differential Equations on Lipschitz Domains / S. Mikhailov Layer Potentials on Morrey Spaces / Dorina Mitrea Global Optimal Design of Aerospace Models FADET II and CATA-LEO / A. Nastase On Quasimodels for Certain Problems Arising in Spectral Perturbation Theory / E. Pérez Propagation of Torsional Waves in an Unbounded Cosserat Continuum / S. Potapenko Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems / M. Rapun and F. Sayas Repairable Systems in Reliability Theory and Applications / P. Rathie, C. da Silva, A. Gomez, and P. Swamee Integrals for a Class of Bessel-Like Functions / O.G. Ruehr Direct Boundary Element Method with Discretization of all Integral Operators / F. Sayas The Design of Harmonic Shapes in Finite Elasticity / P. Schiavone, G.

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