Integral Methods in Science and Engineering  book cover
1st Edition

Integral Methods in Science and Engineering

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ISBN 9781584881469
Published March 23, 2000 by Chapman and Hall/CRC
376 Pages

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Book Description

The Proceedings of the Fifth International Conference on Integral Methods in Science and Engineering, form a collection of papers addressing the solution of mathematical problems from various physical domains by integral methods in conjunction with various approximation schemes. Written by acknowledged experts, these peer-reviewed papers offer recent developments in both theory and application valuable to applied mathematicians, engineers, and physicists.

Table of Contents

Mathematical Modeling of N-Body Quantum Scattering Processes
Microhydrodynamics of Sharp Corners and Edges
Acoustic Scattering by Irregular Obstacles
On Generalized Inverse Steklov Problems
A Hybrid Root Finder
Volterra Type Integral Geometry Problems
Inversionof the X-Ray Transform and the Radon Transform with Incomplete Data
Reconstructing a Function by means of Integrals over a Family of Conical Surfaces
On the use of Wavelet Expansions and the Conjugate Gradient Method for Solving First Kind Integral Equations
Optimal Algorithms for the Calculation of Singular Integrals
An Order One Approximate Method of Solution of Differential and Integral Equations
A Multigrid Method for Solving Reaction-Diffusion Systems
Time-Dependent Bending of Plates with Transverse Shear Deformation
Polarization Gradient in Piezoelectric Micropolar Elasticity
Thermoelastic Stress Separation via Poisson Equation Solution by means of the Boundary Element Method
On Neutral Functional Differential Equations with Causal Operations
A Semi-Analytic Method for the Study of Acoustic Pulse Propagation in Inhomogeneous Elastic 1-D Media
Efficient Finite Elements for the Numerical Approximation of Cylindrical Shells
Error Estimates for Computing Fixed Densities of Markov Integral Operators
A Modified Monte Carlo Approach to the Approximation of Invariant Measures
Acceleration Waves in von Kármán Plate Theory
Dynamics and Resonance of a Nonlinear Mechanical Oscillator Subjected to Parametric and External Excitation
On the Vibration of Helical Springs
A Two-Dimensional Numerical Model of Chemotaxis
Asymptotic Analysis of Fracture Theory for Layered Composites in Compression (The Plane Problem)
Existence and Regularity of Weak Solutions to the Displacement Boundary Value Problem of Nonlinear Elastostatics
On Convergence and Uniqueness of Microscale Heat Transfer Equation
On Numerical Approximations of a Frictionless Contact Problem for Elastic-Viscoplastic Materials
A Panel Clustering Method for 3-D Elastostatics using Spherical Harmonics
Extensions of Constrained Least-Squares for Obtaining Regularized Solutions to First-Kind Integral Equations
Existence and Nonexistence Results for some Boundary Value Problems at Resonance
Analytic Investigation of Thick Anisotropic Plates with Undulating Surfaces
On Stoke's Nonlinear Integral Wave Equation
Dynamics of the Spurt Phenomenon for Single History Integral Constitutive Equations
A Boundary Integral Equation Method for the Heat Equation
Computational Simulation and Interfacial Shear Models for Downward Annular Wavy-Interface Condensing Flow in a Vertical Pipe
Compact Fourth-Order Approximation for a Nonlinear Reaction-Diffusion Equation arising in Population Genetics
Dynamic Deformation of a Layered Continuum Surrounding a Cylindrical or Spherical Cavity
Boundary Value Problems for Harmonic Vector Fields on Non-Smooth Domains
The Oblique Derivative Problem for General Elliptic Systems in Lipschitz Domains
Viscous Aerodynamic Optimal Design of Flying Configurations via an Enlarged Variational Method
Interface Crack Problem for a Piecewise Homogeneous Anisotropic Plane
Micromechanics of Heterogeneous Materials
Admissibility and Optimal Control for Stochastic Difference Equations
Linear and Sublinear Tricomi via DFI
Multidimensional Fractional Integrals on Spaces of Smooth Functions
Piecewise Polynomial Projection Methods for Nonlinear, Multidimensional, Weakly Singular Integral Equations
Asymptotics and Inequalities for a Class of Infinite Sums
A New Theorem Concerning the Buckingham-Rayleigh Methods and General Dimensional Analysis
Energy Decay for a Weak Solution of the Non-Newtonian Fluid Equations with Slowly Varying External Forces
An Integral Representation for the Solution of 2-D Non-Stationary Flow of Micropolar Fluids
A Monotonically Convergent Adaptive Method for Nonlinear Combustion Problems
Stationary Oscillations of Elastic Plates with Robin Boundary Conditions
Adapter and Driver Design for Rotary Encoders
Expert System Design for Fault Diagnosing in CNC Machine Tools
Non-Ideal Liquid Solutions Modeling by means of Integral Methods
Symmetry Groups, Conservation Laws, and Group-Invariant Solutions of the Marguerre-von Kármán Equations
Modeling the Motion of an Underwater Explosion Bubble
On some New Systems of N-ary Integral Equations
Computational Simulations and Flow Domain Classification for Laminar/Laminar annular/Stratified Condensing Flows

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"The book provides inspiration for further research and can be strongly recommended to applied a mathematicians, engineers, and physicists."
- European Mathematical Society Newsletter