Selected Topics in Numerical Analysis for Atmospheric Physics

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This course aims at familiarizing students with the basic numerical methods applied in atmospheric physics. After attending to the course students will be able to make use of the current literature in the field, apply that knowledge in practice for a number of numerical solutions to the problem, write simple computer codes for analysis of physical processes in the atmosphere.

This lecture is taught in English only.

Topics to be covered (5 out of 7) are listed below, each will be applied to specific problems in atmospheric physics:

1) Systems of linear algebraic equations

2) Systems of nonlinear equations

3) Roots of equations

4) Numerical differentiation and integration

5) Initial value problems and boundary value problems

6) Symmetric matrix eigenvalue problems

7) Introduction to optimization

These topics will be applied to specific problems in atmospheric physics.

The list of references will be provided during the lectures.

This course will provide students with following outcomes, according to the learning outcomes listed at:

1. Education: X1A-W02, W03, W04, W05

2. Skills: X1A-U01, U03, U04, U05, U07, U09, U10

3. Social competences: X1A-K02, K03, K05, K06

The completion of this course will be assessed based on:

- 40% theoretical and numerical home exercises,

- 60% written exam result.

The topics for the exam will be given 3 weeks in advance, and will cover the material realized during lectures.

During the exam session one written exam and one make-up exam are planned.

Attendance at lectures and tutorials is encouraged, but is not compulsory.