Computational Modelling and Simulation in Engineering Physics
Code
11537
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Física
Credits
6.0
Teacher in charge
José Paulo Moreira dos Santos, Yuri Fonseca da Silva Nunes
Weekly hours
3
Total hours
42
Teaching language
Português
Objectives
Knowledge at graduate level in computational and simulation methods.
Prerequisites
Programming proficiency. Access to a computer, tablet or smartphone. Undergraduate course in Physical Engineering or equivalent.
Subject matter
Methods
- Numerical integrations methods
- Random variables. Discrete distributions
- Monte Carlo for numerical integration
- Variance reduction methods (option)
- Finite difference method
- Diffusion equation
- Introduction to Linear Regressions
- ARIMA Model(option)
- Introduction to PCA
Tools
- Use of R and/or Python to data analysis, modelling and data visualization.
- Compiling DLLs in C++ and/or C#, for high performance computing with R and/or Python and/or VBA integration.
- Use these languages with SQL database integration (option)
- Uses of VBA to integrate other languages and methods functions in Excel
Bibliography
"Complex and Adaptive Dynamical Systems" C. Gros (2015)
"A Guide to Simulation" P. Bratley, B. Fox, L. Schrag (1987) CIUL-1023
"An Introduction to Computer Simulation in Applied Science" F. Abraham, W. Tiller (1972)
"Introduction to Computational Science: Modeling and Simulation for the Sciences", A. B. Shiflet, G. W. Shiflet (2014)
"Basic Concepts in Computational Physics" B. A. Stickler, E. Schachinger (2016)
Teaching method
In each block of the program syllabus an introduction to the topic, and or methods, is presented by the teacher. The students implement a minimal base program, obtain results and analyze them. The program is changed by the students, with teacher supervision, other assumptions or methods of simulation are explored and the new results are analyzed and compared with previous ones. The sudents present the program to the teacher in the classroom and at a predefined date, the students deliver the final program.