Search: onr:"swepub:oai:DiVA.org:mdh-34864" > Generalized Vanderm...
Fältnamn | Indikatorer | Metadata |
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000 | 03804nam a2200421 4500 | |
001 | oai:DiVA.org:mdh-34864 | |
003 | SwePub | |
008 | 170214s2017 | |||||||||||000 ||eng| | |
020 | a 9789174853124q print | |
024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-348642 URI |
040 | a (SwePub)mdh | |
041 | a engb eng | |
042 | 9 SwePub | |
072 | 7 | a vet2 swepub-contenttype |
072 | 7 | a lic2 swepub-publicationtype |
100 | 1 | a Lundengård, Karl,d 1987-u Mälardalens högskola,Utbildningsvetenskap och Matematik,MAM4 aut0 (Swepub:mdh)kld02 |
245 | 1 0 | a Generalized Vandermonde matrices and determinants in electromagnetic compatibility |
264 | 1 | a Västerås :b Mälardalen University,c 2017 |
338 | a electronic2 rdacarrier | |
490 | 0 | a Mälardalen University Press Licentiate Theses,x 1651-9256 ;v 253 |
520 | a Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility.In the first chapter the basic theory for later chapters is introduced. This includes the Vandermonde matrix and some of its properties, history, applications and generalizations, interpolation and regression problems, optimal experiment design and modelling of electrostatic discharge currents with the purpose to ensure electromagnetic compatibility.The second chapter focuses on finding the extreme points for the determinant for the Vandermonde matrix on various surfaces including spheres, ellipsoids, cylinders and tori. The extreme points are analysed in three dimensions or more.The third chapter discusses fitting a particular model called the p-peaked Analytically Extended Function (AEF) to data taken either from a standard for electromagnetic compatibility or experimental measurements. More specifically the AEF will be fitted to discharge currents from the IEC 62305-1 and IEC 61000-4-2 standards for lightning protection and electrostatic discharge immunity as well as some experimentally measured data of similar phenomena. | |
650 | 7 | a NATURVETENSKAPx Matematik0 (SwePub)1012 hsv//swe |
650 | 7 | a NATURAL SCIENCESx Mathematics0 (SwePub)1012 hsv//eng |
650 | 7 | a NATURVETENSKAPx Matematikx Matematisk analys0 (SwePub)101012 hsv//swe |
650 | 7 | a NATURAL SCIENCESx Mathematicsx Mathematical Analysis0 (SwePub)101012 hsv//eng |
650 | 7 | a NATURVETENSKAPx Matematikx Beräkningsmatematik0 (SwePub)101052 hsv//swe |
650 | 7 | a NATURAL SCIENCESx Mathematicsx Computational Mathematics0 (SwePub)101052 hsv//eng |
650 | 7 | a NATURVETENSKAPx Matematikx Sannolikhetsteori och statistik0 (SwePub)101062 hsv//swe |
650 | 7 | a NATURAL SCIENCESx Mathematicsx Probability Theory and Statistics0 (SwePub)101062 hsv//eng |
650 | 7 | a NATURVETENSKAPx Matematikx Algebra och logik0 (SwePub)101032 hsv//swe |
650 | 7 | a NATURAL SCIENCESx Mathematicsx Algebra and Logic0 (SwePub)101032 hsv//eng |
653 | a Mathematics/Applied Mathematics | |
653 | a matematik/tillämpad matematik | |
700 | 1 | a Silvestrov, Sergei,c Professoru Mälardalens högskola,Utbildningsvetenskap och Matematik4 ths0 (Swepub:mdh)ssv01 |
700 | 1 | a von Rosen, Dietrich,c Professoru Swedish University of Agricultural Sciences4 opn |
710 | 2 | a Mälardalens högskolab Utbildningsvetenskap och Matematik4 org |
856 | 4 | u https://mdh.diva-portal.org/smash/get/diva2:1073960/FULLTEXT02.pdfx primaryx Raw objecty fulltext |
856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-34864 |
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