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Optimized Evaluation of a Large Sum of Functions Using a Three-Grid Approach

Schreier, Franz (2005) Optimized Evaluation of a Large Sum of Functions Using a Three-Grid Approach. Computer Physics Communications, 174 (10), pp. 783-792. Elsevier B.V.. doi: doi:10.1016/j.cpc.2005.12.015.

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Official URL: http://dx.doi.org/10.1016/j.cpc.2005.12.015


The efficient evaluation of numerous values of functions that vary rapidly only in a small part of the region of interest is presented. An optimized algorithm using a sequence of grids with increasing resolution is developed. The algorithm does not make any assumptions about special properties of the function to be evaluated, e.g., symmetry. An additional speed-up is obtained by exploiting the asymptotic behaviour of the functions to be summed. Two applications from high resolution atmospheric radiative transfer modelling in the infrared and microwave are presented. In a third example asymmetric Rautian line shapes important for high resolution molecular spectroscopy are considered. Computational gains by more than two orders of magnitude with relative errors less than 10<sup>−3</sup> have been achieved.

Item URL in elib:https://elib.dlr.de/19377/
Document Type:Article
Title:Optimized Evaluation of a Large Sum of Functions Using a Three-Grid Approach
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Date:13 May 2005
Journal or Publication Title:Computer Physics Communications
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :doi:10.1016/j.cpc.2005.12.015
Page Range:pp. 783-792
Publisher:Elsevier B.V.
Keywords:Multigrid, Spectroscopy, Line by line modelling
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EO - Erdbeobachtung
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):W - Vorhaben Entwicklung von Atmosphärenprozessoren (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Schreier, Dr.rer.nat. Franz
Deposited On:26 Jun 2006
Last Modified:14 Jan 2010 20:12

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