Integral Methods in Science and Engineering: Analytic and Numerical Techniques

Front Matter....Pages i-xxiii
A Finite Volume Scheme for a Nonlinear Reaction-Diffusion PDE Arising in Combustion....Pages 1-6
High Performance Algorithms for Computing Nonsingular Jacobian-Free Piecewise Linearization of Differential Algebraic Equations....Pages 7-12
Multiple Scattering of Water Waves by N Floating Bodies Using Boundary Integral Equation Methods....Pages 13-18
An Application of Semigroup Theory to a Fragmentation Equation....Pages 19-24
Solution of a Sommerfeld Diffraction Problem with a Real Wave Number....Pages 25-30
A Mixed BEM Applied to Scattering of Thermal Waves in Composite Materials....Pages 31-36
Stellar Atmosphere Modeling....Pages 37-40
Time-Dependent Bending of a Plate with Mixed Boundary Conditions....Pages 41-46
Finite-Difference Schemes for a Nonlinear Parabolic Problem with Nonlocal Boundary Conditions....Pages 47-52
Absolute Stability for Neutral Systems with Infinite Delay....Pages 53-60
Large Scale Acoustic Simulations on Clusters of SMPs....Pages 61-66
Models for the Simulation of Electrostatic Precipitators....Pages 67-72
A Method For Modeling Nonharmonic Periodic Acoustic Radiation from a Loudspeaker....Pages 73-78
Implicit Function Theorems and Discontinuous Implicit Differential Equations....Pages 79-84
Numerical Method for Solving Differential Algebraic Equations by Power Series....Pages 85-90
On Hemivariational Inequalities in Coupled Thermoelasticity....Pages 91-96
Asymptotic Stability in Functional Differential Equations with Delay....Pages 97-102
On Optimal Stabilization of Nonautonomous Systems....Pages 103-107
A New Superconvergent Projection Method....Pages 109-114
Spectral Approximation for Compact Integral Operators....Pages 115-122
Fundamental Solutions and Functionally Graded Materials....Pages 123-131
Applications of Fixed Point Theorems to a Chemical Reactor Problem....Pages 133-138
About Localized Boundary- Domain Integro-Differential Formulations for a Quasilinear Problem with Variable Coefficients....Pages 139-144
Uniqueness for Inverse Inhomogeneous Transmission Problems in Lipschitz Domains....Pages 145-150
Analytic Solution for an Enhanced Theory of Bending of Plates....Pages 151-156
On Stabilization of Solutions of Elliptic Equations Containing Bessel Operators....Pages 157-162
New Zonal, Spectral Solutions for Compressible Navier—Stokes Partial Differential Equations....Pages 163-168
Crack Problems and Boundary Variational Inequalities....Pages 169-174
Spline Approximations for Weakly Singular Volterra Integro-Differential Equations....Pages 175-180
Hybrid Laplace and Poisson Solvers. II: Robin BCs....Pages 181-186
Vibrating Systems with Many Concentrated Masses: On the Low Frequencies and the Local Problem....Pages 187-192
Terminal-Edge Algorithms: an Integrated Approach for Mesh Generation....Pages 193-203
On the Identifiability of a Geometric Inverse Problem of Parabolic Type....Pages 205-210
Multiple Scattering Theory and Integral Equations....Pages 211-232
A Resonance Problem for a Second-Order Vector Differential Equation....Pages 233-238
Numerical Calculations for a Mullins-Sekerka Problem in 2D....Pages 239-244
On Anisotropic Elliptic Equations in Bounded Domains....Pages 245-249
Uniqueness and Symmetry for Some Singular Ground State Problems in R n , n≥3....Pages 251-253
Reduction of Computation in the Numerical Resolution of a Second-Kind Weakly Singular Fredholm Equation....Pages 255-260
A Parallel Code for Integral Equations on a Cluster of Computers....Pages 261-266
Analytic Solution of the S N Equations by Integral Transform Technique....Pages 267-272
Integral Equation Methods for Scattering by Periodic Lipschitz Surfaces....Pages 273-278
Back Matter....Pages 279-280