PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS

Complex-step approximation is derived by truncating a Taylor series in form of complex argument. In this research, complex-step approximation was tested in terms of accuracy and stability to analytic (manual) solving and compared to ordinary finite-difference method, and then used to calculated...

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Main Author: MANAN, ABDUL
Format: Theses and Dissertations NonPeerReviewed
Published: [Yogyakarta] : Universitas Gadjah Mada 2011
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Online Access:https://repository.ugm.ac.id/90152/
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spelling id-ugm-repo.901522016-04-15T09:09:13Z https://repository.ugm.ac.id/90152/ PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS MANAN, ABDUL Electronic and Magnetic Properties of Condensed Matter; Superconductivity Complex-step approximation is derived by truncating a Taylor series in form of complex argument. In this research, complex-step approximation was tested in terms of accuracy and stability to analytic (manual) solving and compared to ordinary finite-difference method, and then used to calculated gradient and Hessian in analytic signal equation. Based on the test results, complex-step approximation was extremely easy to implement and run, highly accurate and had high numerical stability for conducting derivative computation compared to finite-difference method. Besides that, it was ruling out the need to search for optimal step size repeatedly to yield minimum error in approximation. For finite-difference, relative error Er approached to 1 when h decreased to 10 -100 . Furthermore, it was applied to calculated gradients and Hessians from dipole magnetic field anomalies to obtained 3D analytic signal amplitude. The modeling results showed that the analytic signal amplitude depended on the direction of the main field vector, the direction of the magnetic dipole vector and the distance of between the anomaly causative source and the observation point on the earth surface or on (x,y,r) coordinates. [Yogyakarta] : Universitas Gadjah Mada 2011 Thesis NonPeerReviewed MANAN, ABDUL (2011) PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS. Masters thesis, UGM. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=52592
institution Universitas Gadjah Mada
building UGM Library
country Indonesia
collection Repository Civitas UGM
topic Electronic and Magnetic Properties of Condensed Matter; Superconductivity
spellingShingle Electronic and Magnetic Properties of Condensed Matter; Superconductivity
MANAN, ABDUL
PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS
description Complex-step approximation is derived by truncating a Taylor series in form of complex argument. In this research, complex-step approximation was tested in terms of accuracy and stability to analytic (manual) solving and compared to ordinary finite-difference method, and then used to calculated gradient and Hessian in analytic signal equation. Based on the test results, complex-step approximation was extremely easy to implement and run, highly accurate and had high numerical stability for conducting derivative computation compared to finite-difference method. Besides that, it was ruling out the need to search for optimal step size repeatedly to yield minimum error in approximation. For finite-difference, relative error Er approached to 1 when h decreased to 10 -100 . Furthermore, it was applied to calculated gradients and Hessians from dipole magnetic field anomalies to obtained 3D analytic signal amplitude. The modeling results showed that the analytic signal amplitude depended on the direction of the main field vector, the direction of the magnetic dipole vector and the distance of between the anomaly causative source and the observation point on the earth surface or on (x,y,r) coordinates.
format Theses and Dissertations
NonPeerReviewed
author MANAN, ABDUL
author_facet MANAN, ABDUL
author_sort MANAN, ABDUL
title PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS
title_short PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS
title_full PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS
title_fullStr PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS
title_full_unstemmed PEMODELAN SIGNAL ANALITIK ANOMALI MEDAN MAGNET DIPOL BERBASIS HAMPIRAN VARIABEL KOMPLEKS
title_sort pemodelan signal analitik anomali medan magnet dipol berbasis hampiran variabel kompleks
publisher [Yogyakarta] : Universitas Gadjah Mada
publishDate 2011
url https://repository.ugm.ac.id/90152/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=52592
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