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Introduction to some modes of convergence: Theory and applications
Mälardalen University, School of Education, Culture and Communication.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This thesis aims to provide a brief exposition of some chosen modes of convergence; namely uniform convergence, pointwise convergence and L1 convergence. Theoretical discussion is complemented by simple applications to scientific computing. The latter include solving differential equations with various methods and estimating the convergence, as well as modelling problematic situations to investigate odd behaviors of usually convergent methods.

Place, publisher, year, edition, pages
2017. , p. 38
Keywords [en]
Modes of convergence, uniform convergence, pointwise convergence, L1 convergence, numerical methods, differential equations, big O notation, central difference method, topological space, metric space, bump function, support
National Category
Computational Mathematics Mathematical Analysis
Identifiers
URN: urn:nbn:se:mdh:diva-44563OAI: oai:DiVA.org:mdh-44563DiVA, id: diva2:1329121
Subject / course
Mathematics/Applied Mathematics
Supervisors
Examiners
Available from: 2019-06-28 Created: 2019-06-24 Last updated: 2019-06-28Bibliographically approved

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fulltext(493 kB)7 downloads
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45308676b44db5e6c6af55ed363fd9cd8054568a9024969f0c158e96e3557206755dd2e71c615b277d2f11499794848f12d2ef8b601df1cd6e5a6a3b93c895b4
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Computational MathematicsMathematical Analysis

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf