New Trends in Parameter Identification for Mathematical Models

1. Front Matter

   Pages i-viii

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2. Posterior Contraction in Bayesian Inverse Problems Under Gaussian Priors

   • Sergios Agapiou, Peter Mathé

   Pages 1-29

3. Convex Regularization of Discrete-Valued Inverse Problems

   • Christian Clason, Thi Bich Tram Do

   Pages 31-51

4. Algebraic Reconstruction of Source and Attenuation in SPECT Using First Scattering Measurements

   • Evelyn Cueva, Axel Osses, Juan Carlos Quintana, Cristián Tejos, Matías Courdurier, Pablo Irarrazaval

   Pages 53-66

5. On ℓ ¹-Regularization Under Continuity of the Forward Operator in Weaker Topologies

   • Daniel Gerth, Bernd Hofmann

   Pages 67-88

6. On Self-regularization of Ill-Posed Problems in Banach Spaces by Projection Methods

   • Uno Hämarik, Urve Kangro

   Pages 89-105

7. Monotonicity-Based Regularization for Phantom Experiment Data in Electrical Impedance Tomography

   • Bastian Harrach, Mach Nguyet Minh

   Pages 107-120

8. An SVD in Spherical Surface Wave Tomography

   • Ralf Hielscher, Daniel Potts, Michael Quellmalz

   Pages 121-144

9. Numerical Studies of Recovery Chances for a Simplified EIT Problem

   • Christopher Hofmann, Bernd Hofmann, Roman Unger

   Pages 145-157

10. Bayesian Updating in the Determination of Forces in Euler-Bernoulli Beams

    • Alexandre Kawano, Abdelmalek Zine

    Pages 159-174

11. On Nonstationary Iterated Tikhonov Methods for Ill-Posed Equations in Banach Spaces

    • M. P. Machado, F. Margotti, Antonio Leitão

    Pages 175-193

12. The Product Midpoint Rule for Abel-Type Integral Equations of the First Kind with Perturbed Data

    • Robert Plato

    Pages 195-225

13. Heuristic Parameter Choice in Tikhonov Method from Minimizers of the Quasi-Optimality Function

    • Toomas Raus, Uno Hämarik

    Pages 227-244

14. Modification of Iterative Tikhonov Regularization Motivated by a Problem of Identification of Laser Beam Quality Parameters

    • Teresa Regińska, Kazimierz Regiński

    Pages 245-259

15. Tomographic Terahertz Imaging Using Sequential Subspace Optimization

    • Anne Wald, Thomas Schuster

    Pages 261-290

16. Adaptivity and Oracle Inequalities in Linear Statistical Inverse Problems: A (Numerical) Survey

    • Frank Werner

    Pages 291-316

17. Relaxing Alternating Direction Method of Multipliers (ADMM) for Linear Inverse Problems

    • Zehui Wu, Shuai Lu

    Pages 317-345

The Proceedings volume contains 16 contributions to the IMPA conference “New Trends in Parameter Identification for Mathematical Models”, Rio de Janeiro, Oct 30 – Nov 3, 2017, integrating the “Chemnitz Symposium on Inverse Problems on Tour”.  This conference is part of the “Thematic Program on Parameter Identification in Mathematical Models” organized  at IMPA in October and November 2017. One goal is to foster the scientific collaboration between mathematicians and engineers from the Brazialian, European and Asian communities. Main topics are iterative and variational regularization methods in Hilbert and Banach spaces for the stable approximate solution of ill-posed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography ,  solution of coupled conduction-radiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.

• parameter identification
• inverse problems
• ill-posed problems
• regularization
• tomography
• partial differential equations
• integral equations of the first kind
• statistical regularization
• bayesian approach
• partial differential equations

• Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

  Bernd Hofmann

• Department of Mathematics, Federal University of Santa Catarin, Florianopolis, Brazil

  Antonio Leitão

• Pura e Aplicada, Instituto Nacional de Matematica, Rio de Janeiro, Brazil

  Jorge P. Zubelli

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