Integral Methods in Science and Engineering Analytic and Numerical Techniques

An outgrowth of The Seventh International Conference on Integral Methods in Science and Engineering, this book focuses on applications of integration-based analytic and numerical techniques. The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool.

Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models.

 

 

1 A Finite Volume Scheme for a Nonlinear Reaction- Diffusion PDE Arising in Combustion.- 2 High Perfomance Algorithms for Computing Nonsingular Jacobian-Free Piecewise Linearization of Differential Algebraic Equations.- 3 Multiple Scattering of Water Waves by N Floating Bodies Using Boundary Integral Equation Methods Lahcene Bencheikh.- 4 An Application of Semigroup Theory to a Fragmentation Equation.- 5 Solution of a Sommerfeld Diffraction Problem with a Real Wave Number.- 6 A Mixed BEM Applied to Scattering of Thermal Waves in Composite Materials.- 7 Stellar Atmosphere Modeling.- 8 Time-Dependent Bending of a Plate with Mixed Boundary Conditions.- 9 Finite-Difference Schemes for a Nonlinear Parabolic Problem with Nonlocal Boundary Conditions.- 10 Absolute Stability for Neutral Systems with Infinite Delay.- 11 Large Scale Acoustic Simulations on Clusters of SMPs.- 12 Models for the Simulation of Electrostatic Precipitators.- 13 A Method for Modeling Nonharmonic Periodic Acoustic Radiation from a Loudspeaker.- 14 Implicit Function Theorems and Discontinuous Implicit Differential Equations.- 15 Numerical Method for Solving Differential Algebraic Equations by Power Series.- 16 On Hemivariational Inequalities in Coupled Thermoelasticity.- 17 Asymptotic Stability in Functional Differential Equations with Delay.- 18 On Optimal Stabilization of Nonautonomous Systems.- 19 A New Superconvergent Projection Method.- 20 Spectral Approximation for Compact Integral Operators.- 21 Fundamental Solutions and Functionally Graded Materials.- 22 Applications of Fixed Point Theorems to a Chemical Reactor Problem.- 23 About Localized Boundary-Domain Integro-Differential Formulations for a Quasilinear Problem with Variable Coefficients.- 24 Uniqueness for Inverse Inhomogeneous Transmission Problems in Lipschitz Domains.- 25 Analytic Solution for an Enhanced Theory of Bending of Plates.- 26 On Stabilization of Solutions of Elliptic Equations Containing Bessel Operators.- 27 New Zonal, Spectral Solutions for Compressible Navier-Stokes Partial Differential Equations.- 28 Crack Problems and Boundary Variational Inequalities.- 29 Spline Approximations for Weakly Singular Volterra Integro-Differential Equations.- 30 Hybrid Laplace and Poisson Solvers. II: Robin BCs.- 31 Vibrating Systems with Many Concentrated Masses: on the Low Frequencies and the Local Problem.- 32 Terminal-Edge Algorithms: an Integrated Approach for Mesh Generation.- 33 On the Identifiability of a Geometric Inverse Problem of Parabolic Type.- 34 Multiple Scattering Theory and Integral Equations.- 35 A Resonance Problem for a Second-Order Vector Differential Equation.- 36 Numerical Calculations for a Mullins-Sekerka Problem in 2D.- 37 On Anisotropic Elliptic Equations in Bounded Domains.- 38 Uniqueness and Symmetry for Some Singular Ground State Problems in Rn, n?3.- 39 Reduction of Computation in the Numerical Resolution of a Second-Kind Weakly Singular Fredholm Equation.- 40 A Parallel Code for Integral Equations on a Cluster of Computers.- 41 Analytic Solution of the SN Equations by Integral Transform Technique.- 42 Integral Equation Methods for Scattering by Periodic Lipschitz Surfaces.