Inverse Problems in Diffusion Processes: Proceedings of the GAMM-SIAM SymposiumHeinz W. Engl, William Rundell SIAM, 1. jaan 1995 - 232 pages This collection of expository papers encompasses both the theoretical and physical application side of inverse problems in diffusion processes. |
Contents
Function Specification Method for Solution of the Inverse Heat | 1 |
Uniqueness and Stability in Inverse Parabolic Problems | 21 |
Direct and Inverse Integrodifferential Maxwell Problems | 42 |
Indentifiability | 90 |
Interpretations and Estimates for IIIPosed Problems | 108 |
Coefficient Recovery in a Parabolic Equation from Input Sources | 120 |
Numerical Solution of the Sideways Heat Equation | 130 |
Numerical Experiments in Multidimensional IHCP on Bounded | 151 |
Recent and New Results on Determination of Unknown | 181 |
Strategies for the Regularization of Nonlinear Least Squares | 217 |
Common terms and phrases
algorithm application approximation assume assumption Banach spaces boundary value boundary value problem bounded Cauchy problem computed condition consider constant convergence corresponding D. A. Murio data functions defined denotes derive Dirichlet discretization domain error norms example existence finite difference Fourier given H(rot H¹(N heat conduction problem heat equation heat flux function Hilbert space hyperbolic IHCP ill-posed problems initial inverse heat conduction inverse problem Kunisch L²(N least squares lemma linear Math Mathematics matrix measurements method mollification N₁ N₂ numerical obtain operator optimal parabolic equations parabolic problem parameter estimation Partial Differential Equations perturbation properties quadratically satisfies sensitivity coefficients SIAM sideways heat equation solving space marching stability temperature Theorem 2.1 Tikhonov regularization u₁ unique solution uniquely determines unknown Vainikko Vt E 0,T W₁ W₂ well-posed zero