Integral methods in science and engineering : theoretical and practical aspects /

The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, whic...

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Bibliographic Details
Other Authors: Constanda, C (Christian), Nashed, M. Zuhair, Rollins, D (David), 1955-
Format: Book
Language:English
Published: Boston : Birkhäuser, c2006
Boston : Birkhäuser, ©2006
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Table of Contents:
  • Newton-type Methods for Some Nonlinear Differential Problems
  • Nodal and Laplace Transform Methods for Solving 2D Heat Conduction
  • The Cauchy Problem in the Bending of Thermoelastic Plates
  • Mixed Initial-boundary Value Problems for Thermoelastic Plates
  • On the Structure of the Eigenfunctions of a Vibrating Plate with a Concentrated Mass and Very Small Thickness
  • A Finite-dimensional Stabilized Variational Method for Unbounded Operators
  • A Converse Result for the Tikhonov--Morozov Method
  • A Weakly Singular Boundary Integral Formulation of the External Helmholtz Problem Valid for All Wavenumbers
  • Cross-referencing for Determining Regularization Parameters in Ill-Posed Imaging Problems
  • A Numerical Integration Method for Oscillatory Functions over an Infinite Interval by Substitution and Taylor Series
  • On the Stability of Discrete Systems
  • Parallel Domain Decomposition Boundary Element Method for Large-scale Heat Transfer Problems
  • The Poisson Problem for the Lamé System on Low-dimensional Lipschitz Domains
  • Analysis of Boundary-domain Integral and Integro-differential Equations for a Dirichlet Problem with a Variable Coefficient
  • On the Regularity of the Harmonic Green Potential in Nonsmooth Domains
  • Applications of Wavelets and Kernel Methods in Inverse Problems
  • Zonal, Spectral Solutions for the Navier-Stokes Layer and Their Aerodynamical Applications
  • Hybrid Laplace and Poisson Solvers. Part III: Neumann BCs
  • Hybrid Laplace and Poisson Solvers. Part IV: Extensions
  • A Contact Problem for a Convection-diffusion Equation
  • Integral Representation of the Solution of Torsion of an Elliptic Beam with Microstructure
  • A Coupled Second-order Boundary Value Problem at Resonance
  • Multiple Impact Dynamics of a Falling Rod and Its Numerical Solution
  • On the Monotone Solutions of Some ODEs. I: Structure of the Solutions
  • On the Monotone Solutions of Some ODEs. II: Dead-core, Compact-support, and Blow-up Solutions
  • A Spectral Method for the Fast Solution of Boundary Integral Formulations of Elliptic Problems
  • The GILTT Pollutant Simulation in a Stable Atmosphere