Integral Methods in Science and Engineering Theoretical and Practical Aspects [Hardcover]

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, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration.

The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.

Preface Contributors 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 TikhonovMorozov 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 Lam? System on Low-dimensional Lipschitz Domains Analysis of Boundary-domainl³$