{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T23:40:22Z","timestamp":1680306022268},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"name":"Austrian Science Fund","award":["project P25424"],"award-info":[{"award-number":["project P25424"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In the present paper\nwe study how to combine a limited regional information with globally available noisy observations related to the quantity of interest through an ill-posed spherical pseudo-differential equation. We formulate such combination as a minimization problem involving two misfit terms and the penalty term in a reproducing kernel Hilbert space. Moreover, we illustrate the proposed scheme by a numerical example and discuss an aggregation of two approaches by a linear functional strategy for a better performance.<\/jats:p>","DOI":"10.1515\/cmam-2015-0039","type":"journal-article","created":{"date-parts":[[2016,4,4]],"date-time":"2016-04-04T17:39:25Z","timestamp":1459791565000},"page":"299-307","source":"Crossref","is-referenced-by-count":1,"title":["Regularization by Aggregation of Global and Local Data on the Sphere"],"prefix":"10.1515","volume":"16","author":[{"given":"Pavlo","family":"Tkachenko","sequence":"first","affiliation":[{"name":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, 4040, Linz, Austria"}]}],"member":"374","published-online":{"date-parts":[[2015,12,22]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/16\/2\/article-p299.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0039\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0039\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T22:59:49Z","timestamp":1680303589000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0039\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12,22]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2016,2,20]]},"published-print":{"date-parts":[[2016,4,1]]}},"alternative-id":["10.1515\/cmam-2015-0039"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2015-0039","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12,22]]}}}