Numerical Integration Dr. Sarah Eberle

Content:
The modelling of many applied problems leads to an integral formulation which cannot be solved analytically. Thus, we require a strategy to solve this numerically. One of the most famous numerical integration formulas are the Euler summation formulas, which we will introduce in this course. Furthermore, we will deal with the numerical integration on the sphere.  Another focus will be on the investigation of lattices and periodization.

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Prerequisites:

Basic knowledge in numerical methods.

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Languague:

The course will be held in English.

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Lecture and Tutorial Dates:

Lecture Date:

NEWS: The lecture will take place virtual again.  You will find the recorded videos of the lecture again under "Materials" starting from next Wednesday (December 1, 2021).

 

• Wednesday 12-14h

• The opening presentation of the course will take place virtually on October 20, 2021, 12:00h: Link to join via MS Teams. The slides of the opening presentation can be found here.

• Further information concerning the format of the lecture, i.e. online or on-site, will be posted here:

  • We will switch the lecture format from virtual to on-site.

  • Thus, the next lecture will take place on-site on Wednesday (November 3, 2021) 12-14h (starting at 12:15h), HS III, building E2 5.

  • All participants in a face-to-face event at the university must provide proof of 3G (further infotmation can be found here).

  • There will be no further recorded lecture videos from this point on.

Tutorial Date:

• Tuesday 12-14h (starting at 12:15h)

• The tutorial will take place virtually via MS Teams (first tutorial: November 2, 2021)

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Material:

Lecture:

• The recorded lecture videos will be published here on the lecture dates. Please log in first. You will then find the link to the lecture videos under "Materials".

• In the case that the lecture takes place on-site, there will be no further recorded lecture videos from this point on.
   

Tutorial:

• Exercise sheets are published here every week. Please log in first. You will then find the exercise sheets under "Materials".

Literature:

• Freeden, W. (2011). Metaharmonic Lattice Point Theory (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/b10876

• Freeden, W., & Gutting, M. (2017). Integration and Cubature Methods: A Geomathematically Oriented Course (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/9781315195674

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Registration:

• Registration will start on October 1, 2021, and end on October 22, 2021.

• Please use the menu topic "Registration" to sign up for this course.

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Exam:

• The oral exam takes place on February 21, 2022 (Monday).

• Please register via the LSF and send me an email to arrange the time (you will receive a message with further information).

• In order to be admitted to the exam, you have to achieve at least 50% of the possible points on the exercise sheets. At the end of the term, there will be an exam.

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Office hour:

Please contact me by email to make an online appointment via MS Teams.