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Numerical Methods in Environmental Sciences
Numerische Methoden in der Umweltphysik
Last Updated: 2026-02-05 15:36:18
Abstract
This lecture imparts the mathematical basis necessary for the development and application of numerical models in the field of Environmental Science. The lecture material includes an introduction into numerical techniques for solving ordinary and partial differential equations, as well as exercises aimed at the realization of simple models.
Objective
Overview of the potential and limitations of numerical models in the environmental sciences; Understanding of selected ordinary and partial differential equations; Knowledge of basic numerical methods for these equations; Ability to design and program simple numerical schemes.
Content
Classification of numerical problems, introduction to finite-difference methods, time integration schemes, non-linearity, conservative numerical techniques, an overview of spectral and finite-element methods. Examples and exercises from a diverse cross-section of Environmental Science. Three obligatory exercises, each two hours in length, are integrated into the lecture. The implementation language is Python (previous experience not necessary: a Phython introduction is given). Example programs and graphics tools are supplied.
Resources
Lecture Notes
Per Web aufLink
Literature
List of literature is provided.
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- German
- Levels
- BSC , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 60 minutes
- Aids
- 4-seitige, handschriftliche Zusammenfassung.Fachneutrales Wörterbuch für fremdsprachige Studierende erlaubt.
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Numerische Methoden in der Umweltphysik |
|
2 h weekly |
Offered In
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Major: Climate and Water (Advisor of the BSc-major "Climate and Water" is Dr. Hanna Joos, Institute for climate and atmosphere (IAC).)
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Atmosphere and Climate (The following courses are highly recommended as preparation for the Specialization in Atmosphere and Climate: 701-0106-00L Mathematik V: Angewandte Vertiefung von Mathematik I - III (Spring semester) 402-0048-00L Fortgeschrittene Physik für Umwelt- und ErdwissenschaftlerInnen (Spring semester) These courses should be successfully completed during the second year.)
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Electives (The Bachelor's programme in Interdisciplinary Sciences allows students to choose from any subject taught at a Bachelor level at ETH Zurich. In consultation with the Director of Studies of Interdisciplinary Sciences, every student must establish his/her own individual study programme at the beginning of the 2nd year. See the Programme Regulations 2018 for further details.)
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Electives (The students are free to choose individually from the entire course offer of ETH Zürich and the universities of Zürich and Bern.)
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Prerequisites (The definition of prerequisites is part of the admission procedure for the master studies. You are informed by the admission office as to what courses of the section «prerequisites» you have to catch up with. You are accredited for these courses in the electives block of the master studies.)
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