Integral Methods in Science and Engineering Book

	Preface
	Contributors
1	Use of Elastodynamic Reciprocity Theorems for Field Calculations	1
2	Linear Solvers for the Galerkin Boundary Element Method	15
3	Reciprocity of Hopf's and Feautrier's Operators in Radiation Transport Theory	21
4	Spectral Approximation of Weakly Singular Integrable Kernels Using Projections	27
5	Effect of Imperfect Interface on Thermal Inclusion with an Interior Radial Crack	33
6	An Integrodifferential Equation of Atomic Diffusion	39
7	Nonradiating Dislocations in Uniform Supersonic Motion in Anisotropic Linear Elastic Solids	45
8	On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables	51
9	On the Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables	57
10	An Initial-Boundary Value Problem for Thermoelastic Plates	63
11	A Global Existence Result for Functional Differential Equations with Causal Operators	69
12	Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes	75
13	Nonlinear Dynamic Analysis of a Curved Beam Structure Using a Finite Element Method	81
14	Seminal Ideas in Integral Methods	87
15	Mixed Boundary Value Problem with Two Displacement Boundaries for Thin Plate Bending	99
16	Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS	105
17	Numerical Technique for Solving an Ordinary Differential Equation by Picard's Method	111
18	On a Class of Boundary Conditions Splitting Coupled Thermoelasticity Problems	117
19	Recent Mathematical Developments for Functionally Graded Linearly Elastic Materials	123
20	Ground Vibration Dynamics During Pile Hammering	131
21	Connection Between Liquid Crystal Theory and Plate Theory	137
22	Product Integration Quadratures for the Radiative Transfer Problem with Hopf's Kernel	143
23	A Numerical Scheme for Determining Diffraction Coefficients in Anisotropic Materials	149
24	Effect of Imperfect Inclusion/Matrix Interaction Between a Circular Inclusion and a Radial Matrix Crack	155
25	Neutral Equations with Causal Operators	161
26	Computation of Free-Surface Flows Under the Influence of Pressure Distribution	167
27	Solution of Eigenvalue Problems for Rectangular Plates by Differential Transformation	173
28	Free Vibrations of Structural Hyperbolic Paraboloid Networks	179
29	Sharp Invertibility Results for Layer Potentials in 2D	185
30	An Enhanced Theory of Bending of Plates	191
31	Comparison of Zonal, Spectral Solutions for Compressible Boundary Layer and Navier-Stokes Equations	197
32	Hybrid Laplace and Poisson Solvers I: Dirichlet Boundary Conditions	203
33	Estimation of Boundary Conditions for Different Experimental Data Using the LTS[subscript N] Method and Tikhonov Regularization	209
34	Analytical-Numerical Treatment of the One-Phase Stefan Problem with Constant Applied Heat Flux	215
35	Integral Equations Arising in Boundary Value Problems at Resonance	221
36	Thermal Stress Analysis of an Elliptic Inclusion with Imperfect Interface Embedded in an Infinite Elastic Medium	227
37	Three-Dimensional Elasticity Solutions for Anisotropic and Inhomogeneous Plates and Shells	233
38	A Circular Inclusion with Homogeneous Interface	245
39	Multiwavelets for Geometrically Complicated Domains and Their Application to Boundary Element Methods	251
40	Mathematical Investigation of Contact Problems with Friction in Fracture Dynamics	257
	Index	263