Modeling a Spheroidal Particle Ensemble and Inversion by Generalized Runge–Kutta Regularizers from Limited Data


Contact
christoph.ritter [ at ] awi.de

Abstract

Extracting information about the shape or size of non-spherical aerosol particles from limited optical radar data is a well-known inverse ill-posed problem. The purpose of the study is to figure out a robust and stable regularization method including an appropriate parameter choice rule to address the latter problem. First, we briefly review common regularization methods and investigate a new iterative family of generalized Runge–Kutta filter regularizers. Next, we model a spheroidal particle ensemble and test with it different regularization methods experimenting with artificial data pertaining to several atmospheric scenarios. We found that one method of the newly introduced generalized family combined with the L-curve method performs better compared to traditional methods.



Item Type
Article
Authors
Divisions
Primary Division
Primary Topic
Publication Status
Published online
Eprint ID
59227
DOI 10.3390/appliedmath2040032

Cite as
Samaras, S. , Böckmann, C. and Ritter, C. (2022): Modeling a Spheroidal Particle Ensemble and Inversion by Generalized Runge–Kutta Regularizers from Limited Data , AppliedMath, 2 (4), pp. 547-573 . doi: 10.3390/appliedmath2040032


Download
[thumbnail of appliedmath-02-00032.pdf]
Preview
PDF
appliedmath-02-00032.pdf - Other

Download (1MB) | Preview

Share
Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email


Citation


Actions
Edit Item Edit Item