Integral Methods in Science and Engineering

Front Matter....Pages i-xxii
Use of Elastodynamic Reciprocity Theorems for Field Calculations....Pages 1-14
Linear Solvers for the Galerkin Boundary Element Method....Pages 15-20
Reciprocity of Hopf’s and Feautrier’s Operators in Radiation Transport Theory....Pages 21-26
Spectral Approximation of Weakly Singular Integrable Kernels Using Projections....Pages 27-32
Effect of Imperfect Interface on a Thermal Inclusion with an Interior Radial Crack....Pages 33-38
An Integrodifferential Equation of Atomic Diffusion....Pages 39-44
Nonradiating Dislocations in Uniform Supersonic Motion in Anisotropic Linear Elastic Solids....Pages 45-50
On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables....Pages 51-56
On the Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables....Pages 57-62
An Initial-Boundary Value Problem for Thermoelastic Plates....Pages 63-68
A Global Existence Result for Functional Differential Equations with Causal Operators....Pages 69-74
Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes....Pages 75-80
Nonlinear Dynamic Analysis of a Curved Beam Structure Using a Finite Element Method....Pages 81-86
Seminal Ideas in Integral Methods....Pages 87-97
Mixed Boundary Value Problem with Two Displacement Boundaries for Thin Plate Bending....Pages 99-104
Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS....Pages 105-110
Numerical Technique for Solving an Ordinary Differential Equation by Picard’s Method....Pages 111-116
On a Class of Boundary Conditions Splitting Coupled Thermoelasticity Problems....Pages 117-122
Recent Mathematical Developments for Functionally Graded Linearly Elastic Materials....Pages 123-130
Ground Vibration Dynamics During Pile Hammering....Pages 131-136
Connection Between Liquid Crystal Theory and Plate Theory....Pages 137-142
Product Integration Quadratures for the Radiative Transfer Problem with Hopf’s Kernel....Pages 143-148
A Numerical Scheme for Determining Diffraction Coefficients in Anisotropic Materials....Pages 149-154
Effect of Imperfect Inclusion/Matrix Interaction Between a Circular Inclusion and a Radial Matrix Crack....Pages 155-160
Neutral Equations with Causal Operators....Pages 161-166
Computation of Free-Surface Flows Under the Influence of Pressure Distribution....Pages 167-172
Solution of Eigenvalue Problems for Rectangular Plates by Differential Transformation....Pages 173-178
Free Vibrations of Structural Hyperbolic Paraboloid Networks....Pages 179-184
Sharp Invertibility Results for Layer Potentials in 2D....Pages 185-190
An Enhanced Theory of Bending of Plates....Pages 191-196
Comparison of Zonal, Spectral Solutions for Compressible Boundary Layer and Navier—Stokes Equations....Pages 197-202
Hybrid Laplace and Poisson Solvers I: Dirichlet Boundary Conditions....Pages 203-208
Estimation of Boundary Conditions from Different Experimental Data Using the LTS N Method and Tikhonov Regularization....Pages 209-214
Analytical-Numerical Treatment of the One-Phase Stefan Problem with Constant Applied Heat Flux....Pages 215-220
Integral Equations Arising in Boundary Value Problems at Resonance....Pages 221-226
Thermal Stress Analysis of an Elliptic Inclusion with Imperfect Interface Embedded in an Infinite Elastic Medium....Pages 227-231
Three-Dimensional Elasticity Solutions for Anisotropic and Inhomogeneous Plates and Shells....Pages 233-244
A Circular Inclusion with Inhomogeneous Interface....Pages 245-250
Multiwavelets for Geometrically Complicated Domains and Their Application to Boundary Element Methods....Pages 251-256
Mathematical Investigation of Contact Problems with Friction in Fracture Dynamics....Pages 257-262
Back Matter....Pages 263-264