Integral Methods in Science and Engineering, Volume 2 Computational Aspects /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Constanda, Christian. (Editor), Přez, M.E. (Editor)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2010.
• Subjects: Mathematics.; Integral equations.; Differential Equations.; Differential equations, partial.; Mathematical physics.; Engineering mathematics.; Mechanical engineering.; Integral Equations.; Appl.Mathematics/Computational Methods of Engineering.; Ordinary Differential Equations.; Partial Differential Equations.; Mechanical Engineering.; Mathematical Methods in Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4897-8

Mathematical models<U+0014>including those based on ordinary, partial differential, integral, and integro-differential equations<U+0014>are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for pr...

Table of Contents:

• Preface
• List of Contributors
• Error Bounds for L1 Galerkin Approximations of Weakly Singular Integral Operators
• Construction of Solutions of the Hamburger<U+0013>Lw̲ner Mixed Interpolation Problem for Nevanlinna Class Functions
• A Three-Dimensional Eutrophication Model: Analysis and Control
• An Analytical Solution for the Transient Two-Dimensional Advection<U+0013>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 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 Wave Equation
• Solution Estimates in Classical Bending of Plates
• Modified Newton<U+0019>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 Hl̲der 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<U+0019>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<U+0013>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
• Index.