Integral methods in science and engineering
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書誌事項
Integral methods in science and engineering
Birkhäuser, c2002-
- [v. 1]
- v. 2 : Computational methods
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注記
Editors of v. 2: C. Constanda, M.E. Pérez
Each volume includes bibliographical references and index
内容説明・目次
- 巻冊次
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[v. 1] ISBN 9780817642136
内容説明
Faculty of Engineering, University of Alberta; Faculty of Science, University of Alberta. As on previous occasions, advice and general guidance were provided by the International Steering Committee. The next IMSE conference will be held in August 2002 at the University be found on the of Saint-Etienne, France. Details concerning this event can VVEB pagehttp://wwwean. univ-st-etienne. fr/imse2002/index. htm. This volume contains five invited papers and thirty-five contributed pa- pers accepted after peer review. The papers are arranged in alphabetical order by (first) author's surname. The editors would like to record their thanks to the referees for their willingness to review the papers, and to the staff at Birkhauser Boston, who have handled the publication process with impressive efficiency. But, above all, they are indebted to Edward McDonald, Alan Morrison, and Alan Bryden for their help in the preparation of the typescript. Glasgow, United Kingdom Christian Constanda, IMSE Chairman The International Steering Committee of IMSE: C. Constanda (University of Strathclyde, Glasgow), Chairman M. Ahues (University of Saint-Etienne) B. Bertram (Michigan Technological University) H. H.
Chiu (National Chen Kung University, Tainan) C. Corduneanu (University of Texas at Arlington) R. P. Gilbert (University of Delaware) A. Haji-Sheikh (University of Texas at Arlington) V. P. Korobeinikov (Institute for Computer Aided Design, Moscow) A. Largillier (University of Saint-Etienne) A. Mioduchowski (University of Alberta, Edmonton) D. Mitrea (University of Missouri-Columbia) A. Nastase (Rhein. -VVestf. Technische Hochschule, Aachen) K. Oshima (Japan Society of Computational Fluid Dynamics, Tokyo) F. R.
目次
Preface Contributors Use of Elastodynamic Reciprocity Theorems for Field Calculations Linear Solvers for the Galerkin Boundary Element Method Reciprocity of Hopf's and Feautrier's Operators in Radiation Transport Theory Spectral Approximation of Weakly Singular Integrable Kernels Using Projections Effect of Imperfect Interface on Thermal Inclusion with an Interior Radial Crack An Integrodifferential Equation of Atomic Diffusion Nonradiating Dislocations in Uniform Supersonic Motion in Anisotropic Linear Elastic Solids On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables On the Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables An Initial-Boundary Value Problem for Thermoelastic Plates A Global Existence Result for Functional Differential Equations with Causal Operators Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes Nonlinear Dynamic Analysis of a Curved Beam Structure Using a Finite Element Method Seminal Ideas in Integral Methods Mixed Boundary Value Problem with Two Displacement Boundaries for Thin Plate Bending Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS Numerical Technique for Solving an Ordinary Differential Equation by Picard's Method On a Class of Boundary Conditions Splitting Coupled Thermoelasticity Problems Recent Mathematical Developments for Functionally Graded Linearly Elastic Materials Ground Vibration Dynamics During Pile Hammering Connection Between Liquid Crystal Theory and Plate Theory Product Integration Quadratures for the Radiative Transfer Problem with Hopf's Kernel A Numerical Scheme for Determining Diffraction Coefficients in Anisotropic Materials Effect of Imperfect Inclusion/Matrix Interaction Between a Circular Inclusion and a Radial Matrix Crack Neutral Equations with Causal Operators Computation of Free-Surface Flows Under the Influence of Pressure Distribution Solution of Eigenvalue Problems for Rectangular Plates by Differential Transformation Free Vibrations of Structural Hyperbolic Paraboloid Networks Sharp Invertibility Results for Layer Potentials in 2D An Enhanced Theory of Bending of Plates Comparison of Zonal, Spectral Solutions for Compressible Boundary Layer and Navier--Stokes Equations Hybrid Laplace and Poisson Solvers I: Dirichlet Boundary Conditions Estimation of Boundary Conditions from Different Experimental Data Using the LTSN Method and Tikhonov Regularization Analytical-Numerical Treatment of the One-Phase Stefan Problem with Constant Applied Heat Flux Integral Equations Arising in Boundary Value Problems at Resonance Thermal Stress Analysis of an Elliptic Inclusion with Imperfect Interface Embedded in an Infinite Elastic Medium Three-Dimensional Elasticity Solutions for Anisotropic and Inhomogeneous Plates and Shells A Circular Inclusion with Homogeneous Interface Multiwavelets for Geometrically Complicated Domains and Their Application to Boundary Element Methods Mathematical Investigation of Contact Problems with Friction in Fracture Dynamics Index
- 巻冊次
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v. 2 : Computational methods ISBN 9780817648961
内容説明
The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world.
Both volumes are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.
目次
- Error Bounds for Galerkin Approximations of Weakly Singular Integral Operators.- Construction of Solutions of the Hamburger#x2013
- L#x00F6
- wner Mixed Interpolation Problem for Nevanlinna Class Functions.- A Three-Dimensional Eutrophication Model: Analysis and Control.- An Analytical Solution for the Transient Two-Dimensional Advection#x2013
- Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique.- A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in -Layered Media.- Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient.- Optimal Control and Vanishing Viscosity for the Burgers Equation.- A High-Order Finite Volume Method for Nonconservative Problems and Its Application to Model Submarine Avalanches.- Convolution Quadrature Galerkin Method for the Exterior Neumann Problem of the Wave Equation.- Solution Estimates in Classical Bending of Plates.- Modified Newton#x2019
- s Methods for Systems of Nonlinear Equations.- Classification of Some Penalty Methods.- A Closed-Form Formulation for Pollutant Dispersion in the Atmosphere.- High-Order Methods for Weakly Singular Volterra Integro-Differential Equations.- Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure.- A Mixed Two-Grid Method Applied to a Fredholm Equation of the Second Kind.- Homogenized Models of Radiation Transfer in Multiphase Media.- A Porous Finite Element Model of the Motion of the Spinal Cord.- Boundary Hybrid Galerkin Method for Elliptic and Wave Propagation Problems in #x211D
- over Planar Structures.- Boundary Integral Solution of the Time-Fractional Diffusion Equation.- Boundary Element Collocation Method for Time-Fractional Diffusion Equations.- Wavelet-Based H#x00F6
- lder Regularity Analysis in Condition Monitoring.- Integral Equation Technique for Finding the Current Distribution of Strip Antennas in a Gyrotropic Medium.- A Two-Grid Method for a Second Kind Integral Equation with Green#x2019
- s Kernel.- A Brief Overview of Plate Finite Element Methods.- Influence of a Weak Aerodynamics/Structure Interaction on the Aerodynamical Global Optimization of Shape.- Multiscale Investigation of Solutions of the Wave Equation.- The Laplace Transform Method for the Albedo Boundary Conditions in Neutron Diffusion Eigenvalue Problems.- Solution of the Fokker#x2013
- Planck Pencil Beam Equation for Electrons by the Laplace Transform Technique.- Nonlinear Functional Parabolic Equations.- Grid Computing for Multi-Spectral Tomographic Reconstruction of Chlorophyll Concentration in Ocean Water.- Long-Time Solution of the Wave Equation Using Nonlinear Dissipative Structures.- High-Performance Computing for Spectral Approximations.- An Analytical Solution for the General Perturbed Diffusion Equation by an Integral Transform Technique.
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