Ebook: 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.

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Content:
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 Rn, 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 SN 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

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Content:
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 Rn, 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 SN 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
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