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Numerical Methods and Computational Physics

Numerical Methods and Computational Physics

Code	13328
Year	1
Semester	S2
ECTS Credits	10
Workload	OT(30H)/TP(30H)
Scientific area	Física e Matemática
Entry requirements	Not applicable
Learning outcomes	The objective of the UC is to familiarize students with the resources and practices currently used in the computational approach to scientific problems. At the end of this UC, the student must demonstrate that they are able to: - identify problems capable of computational resolution and choose appropriate numerical formulations to that resolution; - implement computational approaches to scientific problems in modern environments, including multiprocessor systems, computer aggregates and distributed systems (cloud computing).
Syllabus	1. Numerical methods Differential Equations in Physics finite differences Finite elements finite volumes Base function and error estimation Stationary Problems: Elliptic Equations Numerical methods and algorithms: diffusion equation Numerical methods and algorithms: hyperbolic equations 2. Scientific computing Version Management Systems (git) Brief introduction to the C/C++ language Interfaces between programs written in compiled and interpreted languages (C/Matlab, C/Python) Parallel Computing in C/C++: OpenMP and MPI
Main Bibliography	B Chapman, G Jost, Rvd Pas 2008 Using OpenMP - Portable Shared Memory Parallel Programming, The MIT Press W Gropp, E Lusk, A Skjellum 2014 Using MPI: Portable Parallel Programming with the Message-Passing Interface 3ed, The MIT Press RJ LeVeque 2004 Finite-Volume Methods for Hyperbolic Problems, Cambridge Univ.Press DL Logan 2012 A first course in the finite element method 5ed, Cengage Learning J Pitt-Francis, J Whiteley 2012 Guide to Scientific Computing in C++, Springer S Sirca, M Horvat 2012 Computational Methods for Physicists – Compendium for Students, Springer G Wilson et al 2014 Best Practices for Scientific Computing (PLoS Biol 12, No. 1, e1001745)
Language	Portuguese. Tutorial support is available in English.