Title | Numerical Treatment of Inverse Problems in Differential and Integral Equations [electronic resource] : Proceedings of an International Workshop, Heidelberg, Fed. Rep. of Germany, August 30 โ September 3, 1982 / edited by Peter Deuflhard, Ernst Hairer |
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Imprint | Boston, MA : Birkhรคuser Boston, 1983 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-7324-7 |
Descript | XIV, 357 p. online resource |
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