Numerical Simulation of Mathematical Models in Engineering

Code:

PRODEC082

Acronym:

SNMME

Keywords
Classification	Keyword
OFICIAL	Other

Instance: 2023/2024 - 1S

Active?	Yes
Responsible unit:	Department of Civil and Georesources Engineering
Course/CS Responsible:	Doctoral Program in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
PRODEC	2	Syllabus since 2007/08	1	-	5	45	135

Teaching language

Portuguese and english

Objectives

OBJECTIVES: To formulate mathematical models with differential equations related to civil engineering problems. To understand different methods to solve partial differential equations and how to use it in several areas of civil engineering

Learning outcomes and competences

SKILLS AND LEARNING OUTCOMES: To select, adjust, apply and developed different methods for solving civil engineering problems modeled by partial differential equations. To perform an correct analysis and interpretation of results.

Working method

Presencial

Program

Application of numerical models with partial differential equations in the numerical resolution of mathematical models in Engineering. Concepts and techniques to solve partial differential equations. Compared analysis of the adequacy of several alternative methods. Numerical simulation of models using MATLAB®. Analysis and interpretation of results.

DEMONSTRATION OF THE SYLLABUS COHERENCE WITH THE CURRICULAR UNIT'S OBJECTIVES:

The construction of mathematical models and the use of software to solve models with partial differential equations enable the achievement of the objectives, namely allowing to understand the fundamentals of different methods and its application to civil engineering problems

Mandatory literature

Alfio Quarteroni; Numerical approximation of partial differential equations. ISBN: 978-3-540-85267-4
Mark S. Gockenbach, SIAM;; Partial Differential Equations, Analytical and Numerical Methods
B. Bidégaray and L. Moisan, Springer; Petits problèmes de mathématique appliquées et de modélization,

Complementary Bibliography

Alfio Quarteroni; Cálculo Científico com Matlab e Octave. ISBN: 978-88-470-0717-8
William E. Schiesser; Computational transport phenomena. ISBN: 0-521-55653-8

Teaching methods and learning activities

The teaching involves sessions with theoretical presentations and discussions. The student grading will be based on a report assignment.

DEMONSTRATION OF THE COHERENCE BETWEEN THE TEACHING METHODOLOGIES AND THE LEARNING OUTCOMES:

The report assignment and the discussion of the UC contents allows for an efficient learning experience at this education level.

Software

Matlab

keywords

Physical sciences > Mathematics > Applied mathematics > Numerical analysis

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Trabalho escrito	100,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	39,00
Total:	39,00

Eligibility for exams

According to the evaluation standards of FEUP.

Calculation formula of final grade

The final classification is defined by the grade of the written work that includes the critical review of a scientific article and its discussion.