Integral methods in science and engineering

著者

書誌事項

Integral methods in science and engineering

C. Constanda, M. E. Pérez, editors

Birkhäuser, c2010

  • v. 1 : Analytic methods
  • v. 2 : Computational methods

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注記

"The two volumes contain 65 chapters, which are based on talks presented ... at the Tenth International Conference on Integral Methods in Science and Engineering."--Back cover of v. 1

Includes bibliographical references and index

内容説明・目次

巻冊次

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.
巻冊次

v. 1 : Analytic methods ISBN 9780817648985

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

  • Homogenization of the Integro-Differential Burgers Equation.- Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain.- Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems.- Two-Operator Boundary#x2013
  • Domain Integral Equations for a Variable-Coefficient BVP.- Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity.- The Bottom of the Spectrum in a Double-Contrast Periodic Model.- Fredholm Characterization of Wiener#x2013
  • Hopf#x2013
  • Hankel Integral Operators with Piecewise Almost Periodic Symbols.- Fractal Relaxed Problems in Elasticity.- Hyers#x2013
  • Ulam and Hyers#x2013
  • Ulam#x2013
  • Rassias Stability of Volterra Integral Equations with Delay.- Fredholm Index Formula for a Class of Matrix Wiener#x2013
  • Hopf Plus and Minus Hankel Operators with Symmetry.- Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations.- Contact Problems in Bending of Thermoelastic Plates.- On Burnett Coefficients in Periodic Media with Two Phases.- On Regular and Singular Perturbations of the Eigenelements of the Laplacian.- High-Frequency Vibrations of Systems with Concentrated Masses Along Planes.- On J. Ball#x2019
  • s Fundamental Existence Theory and Regularity of Weak Equilibria in Nonlinear Radial Hyperelasticity.- The Conformal Mapping Method for the Helmholtz Equation.- Integral Equation Method in a Problem on Acoustic Scattering by a Thin Cylindrical Screen with Dirichlet and Impedance Boundary Conditions on Opposite Sides of the Screen.- Existence of a Classical Solution and Nonexistence of a Weak Solution to the Dirichlet Problem for the Laplace Equation in a Plane Domain with Cracks.- On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems.- Asymptotic Analysis of Spectral Problems in Thick Multi-Level Junctions.- Integral Approach to Sensitive Singular Perturbations.- Regularity of the Green Potential for the Laplacian with Robin Boundary Condition.- On the Dirichlet and Regularity Problems for the Bi-Laplacian in Lipschitz Domains.- Propagation of Waves in Networks of Thin Fibers.- Homogenization of a Convection#x2013
  • Diffusion Equation in a Thin Rod Structure.- Existence of Extremal Solutions of Singular Functional Cauchy and Cauchy#x2013
  • Nicoletti Problems.- Asymptotic Behavior of the Solution of an Elliptic Pseudo-Differential Equation Near a Cone.- Averaging Normal Forms for Partial Differential Equations with Applications to Perturbed Wave Equations.- Internal Boundary Variations and Discontinuous Transversality Conditions in Mechanics.- Regularization of Divergent Integrals in Boundary Integral Equations for Elastostatics.

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