Max Planck Gesellschaft
Max Planck Gesellschaft

IMPRS-gBGC course 'Modeling & Numerical Techniques' 2021

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  1.   1.  General information
  2.   2.  COVID-19
  3.   3.  Preliminary agenda
  4.   4.  What you need to prepare
  5.   5.  Registration
  6.   6.  Participants

The skill course will have a modular structure to satisfy both the need for an introduction into modeling in general and into specific areas of application.

1.  General information

Date: September 6-10, 2021
Place: tbd
Category: Skill course
Credit points: 0.2 per day
>> Modeling 2018

2.  COVID-19

Planning of the course is preliminary. Depending on the restrictions in September parts of this course might have to change or will be held online.

3.  Preliminary agenda

Legend
L = lecture, P = practical

Day Slot Type Content Who
Mon, Sept 6 Mathematical concepts Carlos Sierra
09:00 - 12:00 L

- Functions, limits, derivatives, integrals
- Systems of equations and linear algebra
- Differential equations

13:00 - 16:00 P

- Functions in R, splines and numerical integration
- Solving systems of equations in R
- Symbolic mathematics in SymPy
- Solving differential equations in R

Tues, Sept 7 Basics of ecological modeling Carlos Sierra
09:00 - 12:00 L

- Model formulation: concepts and model equations
- Ecological interactions and coupled equations
- Stability and steady-state

13:00 - 16:00 P

- Numerical solution of models
- Model-data integration

Wed, Sept 8 Foundations Axel Kleidon
09:00 - 12:15 L/P

Introduction to Earth system modeling
- Motivation: why modelling?
- Model definition, principles, implementation
- Physical basics: state variables, conservation laws, boundary conditions, formulation of fluxes, approximations

13:45 - 17:00 L/P

Basic differential equations
- Reservoir equation: background, numerical implementation, application
- Diffusion equation: background, numerical implementation, application


Thursday, Sept 9 Energy balance and Land surface Axel Kleidon
09:00 - 12:15 L/P

Global energy balance modelling
- General circulation models (GCM)
- Energy balance models

13:45 - 17:00 L/P

Land-atmosphere interactions
- Surface energy balance models
- Boundary layer dynamics


Friday, Sept 10 Water balance and Complex systems concepts Axel Kleidon
09:00 - 12:15 L+P

Water balance modelling
- Catchment hydrology
- Soil hydrology models

13:45 - 17:00 L+P

Complex systems concepts
- Theoretical concepts: sensitivity, feedbacks, multiple steady states, tipping points
- Examples and applications

4.  What you need to prepare

There are no pre-knowledge needed to participate in the module on basic modeling.

Bring a laptop and make sure that a recent version of R is running on your laptop.
You can download the most recent version here: http://www.r-project.org/
RStudio is a new open-source integrated development environment that runs on all platforms. It nicely combines console, script editor, working directory, plots etc. into a an uncluttered layout that you can easily navigate. You need to have R installed before you can use RStudio as a development environment.

5.  Registration

>> Register here by August 06, 2021

6.  Participants



This page was last modified on March 24, 2021, at 11:09 AM

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