16714
2002
2002
deu
167 S. : Anh.
doctoralthesis
1
--
--
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Bestimmung atmosphärischer Aerosolparameter mit Hilfe von regularisierenden Inversionsverfahren
allegro:1991-2014
10092880
Potsdam, Univ., Habil.-Schr., 2002
Christine Boeckmann
Institut für Physik und Astronomie
Institut für Physik
36646
2011
2011
eng
513
528
16
3
51
article
Springer
Dordrecht
1
--
--
--
Broyden method for inverse non-symmetric Sturm-Liouville problems
In this paper, we propose a derivative-free method for recovering symmetric and non-symmetric potential functions of inverse Sturm-Liouville problems from the knowledge of eigenvalues. A class of boundary value methods obtained as an extension of Numerov's method is the major tool for approximating the eigenvalues in each Broyden iteration step. Numerical examples demonstrate that the method is able to reduce the number of iteration steps, in particular for non-symmetric potentials, without accuracy loss.
BIT : numerical mathematics ; the leading applied mathematics journal for all computational mathematicians
10.1007/s10543-011-0317-5
0006-3835 (print)
wos:2011-2013
WOS:000294463100004
Bockmann, C (reprint author), Univ Potsdam, Inst Math, Neuen Palais 10, D-14469 Potsdam, Germany., bockmann@rz.uni-potsdam.de; athassawat.k@psu.ac.th
Prince of Songkla University
Christine Boeckmann
Athassawat Kammanee
eng
uncontrolled
Inverse Sturm-Liouville problem
eng
uncontrolled
Non-symmetric potential
eng
uncontrolled
Broyden's method
eng
uncontrolled
Boundary value method
Institut für Mathematik
Referiert
12247
2006
2006
eng
article
1
--
--
--
Iterative regularization method for lidar remote sensing
In this paper we present an inversion algorithm for ill-posed problems arising in atmospheric remote sensing. The proposed method is an iterative Runge-Kutta type regularization method. Those methods are better well known for solving differential equations. We adapted them for solving inverse ill-posed problems. The numerical performances of the algorithm are studied by means of simulations concerning the retrieval of aerosol particle size distributions from lidar observations.
http://www.sciencedirect.com/science/journal/00104655
10.1016/j.cpc.2005.12.019
0010-4655
allegro:1991-2014
10102050
Computer physics communications. - ISSN 0010-4655. - 174 (2006), 8, S. 607 - 615
Christine Boeckmann
Andreas Kirsche
Institut für Mathematik
Referiert
36716
2011
2011
eng
345
367
23
3
19
article
De Gruyter
Berlin
1
--
--
--
Logarithmic convergence rate of Levenberg-Marquardt method with application to an inverse potential problem
We prove logarithmic convergence rate of the Levenberg-Marquardt method in a Hilbert space if a logarithmic source condition is satisfied. This method is applied to an inverse potential problem. Numerical implementations demonstrate the convergence rate.
Journal of inverse and ill-posed problems
10.1515/JIIP.2011.034
0928-0219 (print)
wos:2011-2013
WOS:000293596300001
Bockmann, C (reprint author), Univ Potsdam, Inst Math, Neuen Palais 10, D-14469 Potsdam, Germany., bockmann@uni-potsdam.de; athassawat.k@psu.ac.th; braunss@uni-potsdam.de
Prince of Songkla University
Christine Boeckmann
Athassawat Kammanee
Andreas Braunss
eng
uncontrolled
Levenberg-Marquardt method
eng
uncontrolled
inverse potential problems
eng
uncontrolled
logarithmic convergence rate
eng
uncontrolled
discrepancy principle
eng
uncontrolled
logarithmic source condition
Institut für Mathematik
Referiert
37480
2014
2014
eng
696
696
1
275
other
Elsevier
San Diego
1
--
--
--
Regularized inversion of microphysical atmospheric particle parameters: Theory and application (vol 237, pg 79, 2013)
Journal of computational physics
10.1016/j.jcp.2014.07.041
0021-9991 (print)
1090-2716 (online)
wos:2014
WOS:000341308900036
Bockmann, C (reprint author), Univ Potsdam, Inst Math, Neuen Palais 10, D-14469 Potsdam, Germany., Christine.Boeckmann@uni-potsdam.de
Lukas Osterloha
Christine Boeckmann
Doina Nicolae
Anca Nemuc
Institut für Mathematik
Referiert
35885
2012
2012
eng
56
66
11
3
52
article
Elsevier
Oxford
1
--
--
--
Remote sensing and in-situ measurements of tropospheric aerosol, a PAMARCMiP case study
In this work, a closure experiment for tropospheric aerosol is presented. Aerosol size distributions and single scattering albedo from remote sensing data are compared to those measured in-situ. An aerosol pollution event on 4 April 2009 was observed by ground based and airborne lidar and photometer in and around Ny-Alesund, Spitsbergen, as well as by DMPS, nephelometer and particle soot absorption photometer at the nearby Zeppelin Mountain Research Station.
The presented measurements were conducted in an area of 40 x 20 km around Ny-Alesund as part of the 2009 Polar Airborne Measurements and Arctic Regional Climate Model Simulation Project (PAMARCMiP). Aerosol mainly in the accumulation mode was found in the lower troposphere, however, enhanced backscattering was observed up to the tropopause altitude. A comparison of meteorological data available at different locations reveals a stable multi-layer-structure of the lower troposphere. It is followed by the retrieval of optical and microphysical aerosol parameters. Extinction values have been derived using two different methods, and it was found that extinction (especially in the UV) derived from Raman lidar data significantly surpasses the extinction derived from photometer AOD profiles. Airborne lidar data shows volume depolarization values to be less than 2.5% between 500 m and 2.5 km altitude, hence, particles in this range can be assumed to be of spherical shape. In-situ particle number concentrations measured at the Zeppelin Mountain Research Station at 474 m altitude peak at about 0.18 mu m diameter, which was also found for the microphysical inversion calculations performed at 850 m and 1500 m altitude. Number concentrations depend on the assumed extinction values, and slightly decrease with altitude as well as the effective particle diameter. A low imaginary part in the derived refractive index suggests weakly absorbing aerosols, which is confirmed by low black carbon concentrations, measured at the Zeppelin Mountain as well as on board the Polar 5 aircraft.
Atmospheric environment : air pollution ; emissions, transport and dispersion, transformation, deposition effects, micrometeorology, urban atmosphere, global atmosphere
10.1016/j.atmosenv.2011.11.027
1352-2310 (print)
wos:2011-2013
WOS:000303098500006
Hoffmann, A (reprint author), Alfred Wegener Inst Polar & Marine Res, Telegrafenberg A45, Potsdam, Germany., anne.hoffmann@awi.de; lukas.osterloh@googlemail.com; robert.stone@noaa.gov; astrid.lampert@tu-bs.de; peter.tunved@itm.su.se; shao-meng.li@ec.gc.ca; elefther@ipta.demokritos.gr; andreas.herber@awi.de
Anne Hoffmann
Lukas Osterloh
Robert Stone
Astrid Lampert
Christoph Ritter
Maria Stock
Peter Tunved
Tabea Hennig
Christine Boeckmann
Shao-Meng Li
Kostas Eleftheriadis
Marion Maturilli
Thomas Orgis
Andreas Herber
Roland Neuber
Klaus Dethloff
eng
uncontrolled
Arctic
eng
uncontrolled
Aerosols
eng
uncontrolled
Lidar
eng
uncontrolled
Arctic haze
Institut für Mathematik
Referiert