Numerical Treatment of Inverse Problems in Differential and Integral Equations

I: Inverse Initial Value Problems in Ordinary Differential Equations.- 1. Smooth Numerical Solutions of Ordinary Differential Equation Systems.- 2. Towards Parameter Identification for Large Chemical Reaction Systems.- 3. Identification of Rate Constants in Bistable Chemical Reactions.- 4. New Methods of Parameter Identification in Kinetics of Closed and Open Reaction Systems.- 5. On the Estimation of Small Perturbations in Ordinary Differential Equations.- II: Inverse Boundary and Eigenvalue Problems in Ordinary Differential Equations.- 6. Multiple Shooting Techniques Revisited.- 7. Recent Advances in Parameteridentification Techniques for O.D.E..- 8. Some Examples of Parameter Estimation by Multiple Shooting.- 9. Unrestricted Harmonic Balance III, Application to Running and Standing Chemical Waves.- 10. Inverse Eigenvalue Problems for the Mantle.- 11. Inverse Problems of Quantal Potential Scattering at Fixed Energy.- 12. An Inverse Eigenvalue Problem from Control Theory.- 13. Numerical Methods for Robust Eigenstructure Assignment in Control System Design.- III: Inverse Problems in Partial Differential Equations.- 14. Some Inverse Problems in Electrocardiology.- 15. Determination of Coefficients in Reservoir Simulation.- 16. Identification of Nonlinear Soil Physical Parameters from an Input-Output Experiment.- 17. On an Inverse Non-Linear Diffusion Problem.- 18. The Numerical Solution of a Non-Characteristic Cauchy Problem for a Parabolic Equation.- 19. The Inverse Problem in Geoelectrical Prospecting Assuming a Horizontally Layered Half-Space.- 20. Two Dimensional Velocity Inversion for Acoustic Waves with Incomplete Information.- IV: Fredholm Integral Equations of the First Kind.- 21. Exploiting the Ranges of Radon Transforms in Tomography.- 22. Regularization Techniques for Inverse Problems in Molecular Biology.- 23. A Comparison of Statistical Regularization and Fourier Extrapolation Methods for Numerical Deconvolution.- 24. Deconvolution of Gaussian and Other Kernels.- 25. Regularization by Least-Squares Collocation.- Contributors.