Integral Methods in Science and Engineering

515.45

Integral Methods in Science and Engineering Theoretical and Practical Aspects / edited by C. Constanda, Z. Nashed, D. Rollins. -
XVI, 312 p. 51 illus. online resource. Content notes : 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. 9780817644505 * Integral equations. Mathematics. Differential Equations. Differential equations, partial. Numerical analysis. Engineering. Integral Equations. Applications of Mathematics. Ordinary Differential Equations. Partial Differential Equations. Numerical Analysis. Computational Intelligence. * Constanda, C., edt, http://id.loc.gov/vocabulary/relators/edtNashed, Z., edt, http://id.loc.gov/vocabulary/relators/edtRollins, D., edt, http://id.loc.gov/vocabulary/relators/edt * Title