Integral Methods in Science and Engineering: Analytic and Numerical Techniques / Edition 1

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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. Features
• Detailed, clear illustrations of efficient solution methods.
• Rigorous numerical results developed and justified.
• Application of integral methods to a wide variety of mathematical and physical problems.
• New results gleaned from various physical and mechanical models.
• Examination of an entire class of methodologies rather than narrow, specific fields of study. "Integral Methods in Science and Engineering" is a practical resource for a broad audience of practitioners, researchers, and graduate students in applied mathematics, physics, and mechanical engineering.

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Editorial Reviews

From the Publisher
"These proceedings contain invited and contributed papers presented on [the] occasion of [a] 2002 meeting in Saint Étienue, France. The contributions tackle quite naturally very diverse field and can[not] possibly be described in content in a few words. Let us therefore just mention the contents of three contributions. – P.A. Martin discusses fundamental solutions of various partial differential equations in connection with functionally graded materials, in the case that the material properties vary exponentially in one direction. In another paper, M.-C. Rivara and N. Hitschfeld discuss mesh generation algorithms, which automatically refine and improve the triangulation. Finally, B. Rutily discusses some aspects of multiple scattering theory, in particular methods under development applicable especially in problems of stellar atmospheres."

—Monatshefte für Mathematik

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Product Details

  • ISBN-13: 9780817632281
  • Publisher: Birkhauser Verlag
  • Publication date: 12/19/2003
  • Edition description: 2004
  • Edition number: 1
  • Pages: 280
  • Product dimensions: 0.75 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

An Approximate Solution to the Radiative Transfer Equation in an Optically Thick Slab Diffraction by Two Semi-Infinite Plates Welded Along a Short Segment of Their Edges Analysis of a Finite-Volume Scheme for the Numerical Simulation of Titanium Carbide Combustion Synthesis High Performance Algorithms for Computing Nonsingular Jacobian-Free Piecewise Linearization of Algebraic Differential Equations Multiple Scattering of Water Waves by Floating Bodies using the Boundary Integral Equation Method An Application of the Semigroup Theory to a Fragmentation Equation Explicit Solution of a Sommerfield Diffraction Problem with a Real Wave Number A Mixed Boundary Element Method Applied to Scattering of Thermal Waves in Composite Materials Stellar Atmosphere Modeling The Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Dynamic Problems of Elasticity Distributional Solutions in Dynamic Problems for Plates Absolute Stability of Certain Neutral Systems A Parallel Code for Integral Equations on a Cluster of Computers Algorithms for the Simulation of Electrostatic Precipitators Bifurcation of Almost Periodic Solutions in Difference Equations A Method for Modeling Nonharmonic Periodic Acoustic Radiation Implicit Function Theorems with Applications to Discontinuous Differential Equations Numerical Method for Solving Differential Algebraic Equations by Power Series On the Solvability of Evolution Semivariational Inequalities in Coupled Thermoelasticity Problems On Asymptotic Stability in Functional Differential Equations On Optimal Stabilizon of Nonautonomous Systems Interpolation Post-Processing for Eigenvector Approximation Spectral Approximation for Compact Integral Operators Parareal in Time Simulation with Domain Decomposition with PDEs Fundamental Solutions and Functionally-Graded Materials Applications of Fixed-Point Theorems to a Chemical Reactor On Localized Boundary-Domain Integral and Integro-Differential Equations for Problems with Variable Coefficients Uniqueness for Inverse Inhomogeneous Transmission Problems in the Class of Lipschitz Domains Analysis of an Enhanced Model for Elastic Plates Reproducing Kernel Methods in Inverse Problems and Signal Analysis New Zonal, Spectral Solutions for the Compressile Navier-Stokes PDEs Boundary Variational Inequalities in the Theory of Interface Cracks Hybrid Laplace and Poisson Solvers Spline Approximations for Integro-Differential with Weakly Singular Kernels Vibrating Systems with Concentrated Masses Terminal Edges in Algorithms On the Identifiability and Stability of a Geometric Inverse Problem of Parabolic Type Multiple Scattering Theory and Integral Equations A Resonance Problem for a 2nd-Order Vector Differential Equation Fluid Fingering Problems in Hele-Shaw Cells On Anisotropic Elliptic Equations in Bounded Domains Uniqueness and Symmetry for Some Ground State Problems in Rn, n>3 Parallel Finite Element Calculations on Clusters of Symmetric Multiprocessors Dynamic Stability of a Propagating Crack Integral Equation Methods for Scattering by Periodic Lipschitz Surfaces

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