Integral Methods in Science and Engineering / Edition 1

Integral Methods in Science and Engineering / Edition 1

by P. Schiavone
     
 

ISBN-10: 0817642137

ISBN-13: 9780817642136

Pub. Date: 10/26/2007

Publisher: Birkhauser Verlag

This book is an outgrowth of the sixth international conference on integral methods in science and engineering. The chapters focus on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. Integral Methods in Science and Engineering describes the construction and application of various…  See more details below

Overview

This book is an outgrowth of the sixth international conference on integral methods in science and engineering. The chapters focus on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. Integral Methods in Science and Engineering describes the construction and application of various analytic and numerical integration techniques. Problem solving in areas such as solid mechanics, fluid dynamics, thermoelasticity, plates and shells, liquid crystals, diffusion and diffraction theory, Hamiltonian systems, resonance, nonlinear waves, plasma, flight dynamics, and structural networks are presented in an accessible manner. The book offers a vehicle for the quick dissemination of new results in these domains, and will help create an ideal environment for investigative interdisciplinary study among a variety of research areas.
Topics-
Offers an illustration by prominent researchers of efficient methods of solution with numerical results and rigorous analytic methods.
Presents applications of integral methods to a wide variety of mathematical and physical problems.
Provides new results in the study of various physical and mechanical models.
A clear, concise focus on a class of methodologies rather than a specific field of study. This book is a practical resource for a broad audience of professionals, researchers, and practitioners in applied mathematics, mechanical engineering, and theoretical physics, who are interested in current research in ordinary and partial differential equations, integral equations, numerical analysis, mechanics of solids, fluid mechanics, and mathematical physics.Graduate students will find this a helpful guide to the wide range of applications that integral methods have in science and engineering.

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Product Details

ISBN-13:
9780817642136
Publisher:
Birkhauser Verlag
Publication date:
10/26/2007
Edition description:
2002
Pages:
264
Product dimensions:
9.21(w) x 6.14(h) x 0.69(d)

Table of Contents

Preface
Contributors
1Use of Elastodynamic Reciprocity Theorems for Field Calculations1
2Linear Solvers for the Galerkin Boundary Element Method15
3Reciprocity of Hopf's and Feautrier's Operators in Radiation Transport Theory21
4Spectral Approximation of Weakly Singular Integrable Kernels Using Projections27
5Effect of Imperfect Interface on Thermal Inclusion with an Interior Radial Crack33
6An Integrodifferential Equation of Atomic Diffusion39
7Nonradiating Dislocations in Uniform Supersonic Motion in Anisotropic Linear Elastic Solids45
8On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables51
9On the Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables57
10An Initial-Boundary Value Problem for Thermoelastic Plates63
11A Global Existence Result for Functional Differential Equations with Causal Operators69
12Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes75
13Nonlinear Dynamic Analysis of a Curved Beam Structure Using a Finite Element Method81
14Seminal Ideas in Integral Methods87
15Mixed Boundary Value Problem with Two Displacement Boundaries for Thin Plate Bending99
16Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS105
17Numerical Technique for Solving an Ordinary Differential Equation by Picard's Method111
18On a Class of Boundary Conditions Splitting Coupled Thermoelasticity Problems117
19Recent Mathematical Developments for Functionally Graded Linearly Elastic Materials123
20Ground Vibration Dynamics During Pile Hammering131
21Connection Between Liquid Crystal Theory and Plate Theory137
22Product Integration Quadratures for the Radiative Transfer Problem with Hopf's Kernel143
23A Numerical Scheme for Determining Diffraction Coefficients in Anisotropic Materials149
24Effect of Imperfect Inclusion/Matrix Interaction Between a Circular Inclusion and a Radial Matrix Crack155
25Neutral Equations with Causal Operators161
26Computation of Free-Surface Flows Under the Influence of Pressure Distribution167
27Solution of Eigenvalue Problems for Rectangular Plates by Differential Transformation173
28Free Vibrations of Structural Hyperbolic Paraboloid Networks179
29Sharp Invertibility Results for Layer Potentials in 2D185
30An Enhanced Theory of Bending of Plates191
31Comparison of Zonal, Spectral Solutions for Compressible Boundary Layer and Navier-Stokes Equations197
32Hybrid Laplace and Poisson Solvers I: Dirichlet Boundary Conditions203
33Estimation of Boundary Conditions for Different Experimental Data Using the LTS[subscript N] Method and Tikhonov Regularization209
34Analytical-Numerical Treatment of the One-Phase Stefan Problem with Constant Applied Heat Flux215
35Integral Equations Arising in Boundary Value Problems at Resonance221
36Thermal Stress Analysis of an Elliptic Inclusion with Imperfect Interface Embedded in an Infinite Elastic Medium227
37Three-Dimensional Elasticity Solutions for Anisotropic and Inhomogeneous Plates and Shells233
38A Circular Inclusion with Homogeneous Interface245
39Multiwavelets for Geometrically Complicated Domains and Their Application to Boundary Element Methods251
40Mathematical Investigation of Contact Problems with Friction in Fracture Dynamics257
Index263

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