Techniques for the reconstruction of a distribution from a finite number of its moments

By Volker John, I. Angelov, A. Öncül, Dominique Thévenin. 2007

209 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/018739bda6ad899deb99db32c9419827a973d935

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Lutz Tobiska
2. Andreas Voigt
3. Michael Roland
4. Teodora Mitkova
5. Kai Sundmacher
6. Volker John
7. Petr Knobloch
8. Timo Heister

In Materials Chemistry

1. Volker John
2. Kai Sundmacher

In Statistics and Probability

1. Volker John

Citations in the corpus

• Simulations of Population Balance Systems with One Internal Coordinate using Finite Element Methods (2009, background): “The reconstruction of a function from a finite number of its moments is a severely ill-posed problem and a recent review (John et al., 2007) shows that reliable algorithms for solving this problem are in general not available.”
• Reconstruction of a distribution from a finite number of moments with an adaptive spline-based algorithm (2010, unknown): “It has been studied in the mathematical literature almost exclusively from the theoretical point of view (see again John et al., 2007 for a review of the most important results). In principle, there is no unique solution for this problem and all moments up to infinity should be known to reconstruct ”