Integral methods in science and engineering : computational and analytic aspects
 Language
 English.
 Imprint
 New York : Birkhäuser, 2011.
 Physical description
 xxv, 419 p. : ill. ; 24 cm.
Access
Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 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 SelfConsistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation. A General Analytical Solution of the AdvectionDiffusion 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 MultiGroup Neutron Kinetic Diffusion Equations in OneDimensional 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 BoundaryDomain Integral Equations for Transmission Problems with Variable Coefficients. Analysis of Segregated BoundaryDomain Integral Equations for VariableCoefficient BVPs in Exterior Domains. Thermoelastic Plates with ArcShaped Cracks. Almost Periodicity in Semilinear Systems. Bubble Behavior Near a TwoFluid Interface. Spectral Stiff Problems in Domains with Strongly Oscillating Boundary. Spectra and Pseudospectra of the ConvectionDiffusion Operator. A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance. Nonlinear AbelType 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 VibroAcoustic Energy in Complex Builtup Structures. 2D and 3D 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. IntegroDifferential Equations for Stress Analysis at the Bridged Zone of an Interface Crack. Design and Performance of GasLiquid 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 FluidRigid System. An Efficient Algorithm to Solve the GITTTransformed 2D 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 NonSmooth 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 OneSpeed Neutron Transport Equation in SlabGeometry 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 BoundaryDomain Integral Equation Formulation for Transmission Problems. Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semilinear 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 Abeltype 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 3D Galerkin Integrals for Planar Cracks. Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction. Localized Segregated BoundaryDomain Integral Equation Formulation for Mixed Type Boundary Value Problems. On the Robustness of the GITT Solution for the 2D 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. Semianalytical Approach to the Computation of the Laplace Transform of 3D Source Functions. Boundary Integral Equations for Shells of Arbitrary Geometry. Solutions to Model Equations for Cancer Growth.
 (source: Nielsen Book Data)
 Publisher's Summary
 An enormous array of problems encountered by scientists and engineers are based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integrodifferential equations. Accordingly, the solutions of these equations are of great interest to practitioners and to science in general. Presenting a wealth of cuttingedge research by a diverse group of experts in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects gives a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. This book will be valuable for researchers in applied mathematics, physics, and mechanical and electrical engineering. It will likewise be a useful study guide for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Responsibility
 Christian Constanda, Paul J. Harris, editors.
 ISBN
 9780817682378
 0817682376
 9780817682385
 0817682384