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Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling
Thesis (PhD) -- Stellenbosch University, 2001.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2011
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| _version_ | 1867613780675919873 |
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| access_status_str | Open Access |
| author | Lehmensiek, Robert |
| author2 | Meyer, P. |
| author_browse | Lehmensiek, Robert Meyer, P. |
| author_facet | Meyer, P. Lehmensiek, Robert |
| author_sort | Lehmensiek, Robert |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (PhD) -- Stellenbosch University, 2001. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/8360 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:41:35.119Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2011 |
| publishDateRange | 2011 |
| publishDateSort | 2011 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/8360 Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling Lehmensiek, Robert Meyer, P. University of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering University of Stellenbosch. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Jacobs, Ivan Multivariate rational interpolation Multivariate adaptive sampling Model-based parameter estimation Surrogate modelling Computer-aided design Dissertations -- Electronic engineering Theses -- Electronic engineering Microwave circuits Thesis (PhD) -- Stellenbosch University, 2001. ENGLISH ABSTRACT: A robust and efficient adaptive sampling algorithm for multivariate, multiple output rational interpolation models, based on convergents of Thiele-type branched continued fractions, is presented. A variation of the standard branched continued fraction method is proposed that uses approximation to establish a non-rectangular grid of support points. Starting with a low order interpolant, the technique systematically increases the order by optimally choosing new support points in the areas of highest error, until the desired accuracy is achieved. In this way, accurate surrogate models are established by a small number of support points, without assuming any a priori knowledge of the microwave structure under study. The technique is illustrated and evaluated on several passive microwave structures, however it is general enough to be applied to many modelling problems. AFRIKAANSE OPSOMMING: 'n Robuuste en effektiewe aanpasbare monsternemingsalgoritme vir multi-veranderlike, multi-uittree rasionale interpolasiemodelle, gegrond op konvergente van Thiele vertakte volgehoue breukuitbreidings, word beskryf. 'n Variasie op die konvensionele breukuitbreidingsmetode word voorgestel, wat 'n nie-reghoekige rooster van ondersteuningspunte gebruik in die funksiebenadering. Met 'n lae orde interpolant as beginpunt, verhoog die algoritme stelselmatig die orde van die interpolant deur optimaal verbeterde ondersteuningspunte te kies waar die grootste fout voorkom, totdat die gewensde akuraatheid bereik word. Hierdeur word akkurate surrogaat modelle opgebou ten spyte van min inisiele ondersteuningspunte, asook sonder voorkennis van die mikrogolfstruktuur ter sprake. Die algoritme word gedemonstreer en geevalueer op verskeie passiewe mikrogolfstrukture, maar is veelsydig genoeg om toepassing te vind in meer algemene modelleringsprobleme. Doctoral 2011-03-31T07:22:43Z 2011-03-31T07:22:43Z 2001-12 Thesis http://hdl.handle.net/10019.1/8360 en_ZA Stellenbosch University 57 p. : ill. application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Multivariate rational interpolation Multivariate adaptive sampling Model-based parameter estimation Surrogate modelling Computer-aided design Dissertations -- Electronic engineering Theses -- Electronic engineering Microwave circuits Lehmensiek, Robert Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling |
| title | Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling |
| title_full | Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling |
| title_fullStr | Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling |
| title_full_unstemmed | Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling |
| title_short | Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling |
| title_sort | efficient adaptive sampling applied to multivariate multiple output rational interpolation models with applications in electromagnetics based device modelling |
| topic | Multivariate rational interpolation Multivariate adaptive sampling Model-based parameter estimation Surrogate modelling Computer-aided design Dissertations -- Electronic engineering Theses -- Electronic engineering Microwave circuits |
| url | http://hdl.handle.net/10019.1/8360 |
| work_keys_str_mv | AT lehmensiekrobert efficientadaptivesamplingappliedtomultivariatemultipleoutputrationalinterpolationmodelswithapplicationsinelectromagneticsbaseddevicemodelling |