8th - 10th April 2019

University of Liverpool

In collaboration with the Institute for Risk and Uncertainty (UK) and Institut für Risiko und Zuverlässigkeit (Germany), we are offering a 3-day training course on Uncertainty Quantification using COSSAN Software.

Structure of the training programme

Each day focuses on a specific topic. This allows the participants to attend a specific training day.


Download here

Aims and Learning outcomes

You will learn the main techniques available for dealing with Risk Analysis and Uncertainty Quantification through an easy to use, yet powerful computational software.

Main Concepts and techniques

  • Random Variables and Random Variables Sets
  • Monte Carlo simulation and advanced simulation techniques (Subset simulation, Line Sampling, Importance Sampling, Latin Hypercube Sampling)
  • Global and Local Sensitivity analysis
  • Global optimization techniques
  • Surrogate Models (Artificial Neural Networks, Response surface, Kriging)
  • Reliability based and robust design


Date: 8th - 10th April 2019
Venue: Room 502-PCTC-C
502 Teaching Hub (next to the Guild of Students).
University of Liverpool, U.K.
Monday 1000 -1600
Tuesday 0900 - 1600
Wednesday 0900 - 1300
Industrial Attendee: £250
Academic Attendee: £125
Student/PhD: £95


Day 1: 8th April 2019

Time Activity Type Description
10:00 Introduction Welcome, aim and structure of the course.
Getting started: basic useful computer commands and remote connection
10:30 Lecture COSSAN-X and OpenCossan (Main features and capabilities, toolboxes and wizards)
11:15 Practical Session Installation, getting started and familiarisation with the software.
Construct a model and run a deterministic analysis.
12:00 Lecture Introduction to Uncertainty Quantification and modelling of the uncertainties (random variables, stochastic processes, etc.)
12:30 Lunch break
13:30 Lecture Basic Monte Carlo method simulation for Uncertainty Quantification and Reliability Analysis
13:45 Practical Session Basic Tutorial: Uncertainty Quantification of a simple cantilever beam model
14:30 Lecture Advanced Monte Carlo methods (Importance sampling, Line Sampling, Subset Simulation) for UQ and Reliability Analysis
15:00 Practical Session Basic Tutorial: Uncertainty Quantification and Reliability Analysis using advanced methods
15:45 Wrapping Up Summary of the day

Day 2: 9th April 2019

Time Activity Type Description
9:15 Introduction Welcome and presentation of the day
9:30 Lecture When desktop is not enough (Cliff Addison)
10:15 Lecture Basic Linux concepts and essential commands
10:30 Tutorial Exercises on High Performance Computing
12:30 Lunch Break
13:30 Lecture Connect COSSAN-X with 3rd party solvers (ABAQUS, NASTRAN, LS_DYNA, etc.) and high-performance capabilities
14:00 Practical session Connect COSSAN-X with your model
14:45 Lecture Introduction to Local and Global Sensitivity Analysis
15:30 Practical session Tutorial: Sensitivity Analysis of simple model and of external model
15:50 Wrapping Up Summary of the day

Day 3: 10th April 2019

Time Activity Type Description
9:00 Introduction Presentation of the day
9:15 Lecture Optimisation (Gradient based and gradient free approaches, stochastic optimisation)
9:45 Tutorial Basic Tutorial: Optimization of a simple Cantilever Beam
10:30 Lecture Meta-models (Response surface, Artificial Neural Networks, etc), and Robust and Reliability based optimisation
11:00 Tutorial Tutorial: Meta-models, Robust Optimization and Reliability Based Optimization
11:45 Demo Demonstration of latest COSSAN development
12:15 Discussion User-Developer Interaction
13:00 Close Lunch