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Integral Methods in Science and Engineering: Computational and Analytic Aspects

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Integral Methods in Science and Engineering: Computational and Analytic Aspects Cover

 

Synopses & Reviews

Publisher Comments:

An enormous array of problems encountered by scientists and engineers

Synopsis:

This book illustrates the application of integral methods to problems in mathematics, physics, biology and engineering, presenting a vivid picture of the development of theoretical integral techniques and their use in specific science and engineering problems.

Synopsis:

The systematic study of

Synopsis:

An enormous array of problems encountered by scientists and engineers

Table of Contents

Preface.- Collocation Method for Cauchy Integral Equations in L^2.- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology.- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation.- A General Analytical Solution of the Advection-Diffusion Equation for Fickian Closure.- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control.- Adaptive Particle Filter for Stable Distribution.- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique.- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis.- Efficient Iterative Methods for Fast Solution of Integral Operators.- Analysis of Some Localized Boundary-Domain Integral Equations for Transmission Problems with Variable Coefficients.- Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains.- Thermoelastic Plates with Arc-Shaped Cracks.- Almost Periodicity in Semilinear Systems.- Bubble Behavior Near a Two-Fluid Interface.- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary.- Spectra and Pseudospectra of the Convection-Diffusion Operator.- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance.- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation.- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals.- Numerical Experiments for Mammary Adenocarcinoma Cell Progression.- Limiting Cases of Subdiffusion.- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures.- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading.- Asymptotic Behavior of Elliptic Quadric Algebraic Equations with Variable Coefficients and Aerodynamical Applications.- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources.- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques.- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack.- Design and Performance of Gas-Liquid Cylindrical Cyclone/Slug Damper System.- On the Quasimodes for compact Operators and Associated Evolution Problems.- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation.- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System.- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation.- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances.- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions.- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains.- Optimizing Water Quality in a River Section.- Boundary Integral Equations for Arbitrary Geometry Shells. On the Determination of the Albedo Boundary Conditions by Solving the One-Speed Neutron Transport Equation in Slab-Geometry with the LTSN Method. Numerical Solution of the Electric Field Integral Equation on Polyhedral Surfaces.- A High Frequency Problem of Scattering by Convex Polygons with Impedance Boundary Conditions.- Localized Segregated Boundary-Domain Integral Equation Formulation for Transmission Problems.- Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semi-linear Case.- Generalized Particle Filter: PDF with Undefined Statistical Moments.- Droplet Heating and Evaporation in the Presence of a Moving Boundary: Numerical Analysis Based on Analytical Solutions.- Solution of a Nonlinear Abel-type Integral Equation Modeling Crack Propagation Under Creep and Fatigue.- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals.- Domain Decomposition with Lagrange Multipliers for Hypersingular Integral Equations.- Numerical Integration Methods for Functions with Singularities by Partition Integration.- Multiple Trace Boundary Integral Formulation for Helmholtz Transmission Problems.- Limiting Cases of Subdiffusion.-New Trends in Inverse Scattering Theory.- Transient Mechanistic Model for Slug Damper/ (GLCC)Compact Separator System.- Exact 3-D Galerkin Integrals for Planar Cracks.- Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction.- Localized Segregated Boundary-Domain Integral Equation Formulation for Mixed Type Boundary Value Problems.- On the Robustness of the GITT Solution for the 2-D Neutron Diffusion Equation in Cartesian Geometry.- Conditioning Numerical Models with Application to Petroleum Reservoir Chracterization.- Computation of the Spectrum for Some Elliptic Operators on Periodic Waveguides with Variable Density.- Numerical Simulation of Short Waves over Long Distances as Nonlinear Solitary Waves.- Pseudodifferential Equations in Domains with Boundary Singularities.- Optimizing Water Quality in a River Section.- Semi-analytical Approach to the Computation of the Laplace Transform of 3-D Source Functions.- Boundary Integral Equations for Shells of Arbitrary Geometry.- Solutions to Model Equations for Cancer Growth.

Product Details

ISBN:
9780817682378
Author:
Constanda, Christian
Publisher:
Birkhauser Boston
Author:
Harris, Paul J.
Location:
Boston, MA
Subject:
Mathematics-Applied
Subject:
Mathematical Analysis
Subject:
Boundary integral equations
Subject:
Deformable Solids
Subject:
Fluid mechanics
Subject:
Integral equations
Subject:
integral methods
Subject:
Numerical analysis
Subject:
ordinary differential equations
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
Continuum Mechanics and Mechanics of Materials
Subject:
Computational Mathematics and Numerical Analysis
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Engineering mathematics
Subject:
Differential Equations
Subject:
Differential equations, partial
Subject:
Materials
Subject:
Computer science_xMathematics
Copyright:
Edition Description:
2011
Publication Date:
20110831
Binding:
HARDCOVER
Language:
English
Pages:
445
Dimensions:
235 x 155 mm

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Integral Methods in Science and Engineering: Computational and Analytic Aspects New Hardcover
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$190.25 In Stock
Product details 445 pages Birkhauser Boston - English 9780817682378 Reviews:
"Synopsis" by , This book illustrates the application of integral methods to problems in mathematics, physics, biology and engineering, presenting a vivid picture of the development of theoretical integral techniques and their use in specific science and engineering problems.
"Synopsis" by , The systematic study of
"Synopsis" by , An enormous array of problems encountered by scientists and engineers
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