Integral methods in science and engineering v. 2 Computational methods

Mathematical models, based on ordinary, partial differential, integral, and integro-differential equations, are the only viable tool for studying our physical surroundings and their natural manifestations. Therefore, it is important for practitioners to strive to find solutions to these models, either analyticor numerical. This two-volume set gathers up-to-date research results that show how to set up a very important class of such tools, and how to use them in specific problems of science and engineering. The two volumes contain 65 chapters, which are an outgrowth of talks presented by experienced researchers from24 countries on 5 continents at the Tenth International Conference on Integral Methods in Science and Engineering held in Santander, Spain, July 7–10, 2008. The chapters address a wide range of topics, from the construction of boundary integral methods to the application of integration-based analytic and numerical techniques to mathematical models arising in almost all aspects of today’s technological world – in particular, integral equations, finite and boundaryelements, conservation laws, and hybrid approaches. 'Integral Methods in Science and Engineering, Volume 2' is a useful research guide for pure and appliedmathematicians, physicists, biologists, and mechanical, civil, and electricalengineers, graduate students in these disciplines, and various other professionals who use integration as a fundamental technique in their research. Illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering Chapters written by scientists with established credentials in their fields Applications to a wide spectrum of subjects, ranging from eutrophication of bodies of water, to pollutant dispersion, spinalcord movement, submarine avalanches, among others For a broad audience of graduate students, researchers, and professionals in pure and applied mathematics, physics, biology, and civil and mechanical engineering INDICE: Preface.- List of Contributors.- Error Bounds for L1 Galerkin Approximations of Weakly Singular Integral Operators.- Construction of Solutions of the Hamburger–Löwner Mixed Interpolation Problem for Nevanlinna Class Functions.- A Three-Dimensional Eutrophication Model: Analysis and Control.- An Analytical Solution for the Transient Two-Dimensional Advection–Diffusion Equationwith Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique.- A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in N-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 WaveEquation.- Solution Estimates in Classical Bending of Plates.- Modified Newton’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 R3 over Planar Structures.- Boundary Integral Solution of the Time-Fractional Diffusion Equation.- Boundary Element Collocation Method for Time-Fractional Diffusion Equations.- Wavelet-Based Hölder 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’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–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-TimeSolution 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.- Index.

• ISBN: 978-0-8176-4896-1
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 372
• Fecha Publicación: 01/11/2009
• Nº Volúmenes: 1
• Idioma: Inglés