Computational Methods in Engineering

Code:

F417

Acronym:

F417

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2015/2016 - 1S

Active?	Yes
Web Page:	http://moodle.up.pt/course/view.php?id=891
Responsible unit:	Department of Physics and Astronomy
Course/CS Responsible:	Master's Degree in Physical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
M:F	1	Plano de Estudos do Mestrado em Física	2	-	5	-	-
MI:EF	11	Plano de Estudos a partir de 2007	4	-	5	-

Teaching language

Suitable for English-speaking students

Objectives

• Learn methods and algorithms used in numerical simulation in physics. • Analyze a set of problems in various areas of physics in view of the numerical solution. • Build models problems. • Describe and apply some basic numerical techniques. • Contact with simulation methods.

Learning outcomes and competences

• Be able to design a physics problem so that it can be solved by computational methods. • Be able to select and adjust numerical methods for solving numerical problems. • Being able to program a numerical solution of a problem, making use of implementations of numerical methods. • Be able to analyze and criticize the results.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Domain of a programming language (intermediate level), with emphasis for Python

Program

1 Basic concepts of computational modeling and numerical analysis.

2 Reviews of basic numerical methods: looking for roots od functions, numerical differentiation and integration, iterative dynamics.


3 Numerical methods of matrix decomposition and solving systems of linear equations: RQ decomposition, LU, SVD, iterative methods, eigen problems.

4 Integral Transforms: Fourier  and Wavelet transforms.

5 Methods for solving partial differential equations: finite differences and spectral methods.

6 Special Topics for physical engineers. The specific contents of this section are determined by agreement with students, taking into account their interests and the final class project. Examples of possible topics: finite elements, nonlinear equations, Schrödinger equation nonlinear.

Mandatory literature

Computational Physics, Steven Koonin, 2nd ed. Benjammin/Cummings, Menlo Park, CA 1986
A First Course in Computational Physics, Paul L. De Vries, John Wiley and Sons, 1994
An Introduction to Computer Simulation Methods, H. Gould and J. Tobochnick, 2nd ed. Addison Wesley, 1996

Complementary Bibliography

Numerical Techniques in Electromagnetics, M. Sadiku, CRC Press, 1991

Teaching methods and learning activities

Theoretical classes. Socratic method and reading assignments. Practical lessons in solving problems with use of the methods learned.

Software

Python xy
Python xy

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation	Weight (%)
Participação presencial	0,00
Trabalho escrito	100,00
Total:	100,00

Eligibility for exams

In the case of a course under the regime of distributed evaluation, apply the following procedure to obtain frequency in which each student must: 1. Do not miss more than 1 / 4 of the lectures given; 2. Deliver elements of evaluation in due time with a score above 30 in 100.

Calculation formula of final grade

The grade obtained by the following formula will correspond to the mark of the first period of evaluation: 45% homework + 45% final project evaluation+ 10% global evaluation Comments: 1) Continuous assessment of students by teachers during class lectures and practice allows you to make an adjustment, usually thin, the marks obtained by students corresponding to the item's previous formula called the global evaluation. 2) The discipline panel also reserves the right to call students to conduct an oral examination whenever it is deemed appropriate.

Examinations or Special Assignments

homework and class prject in a topic of Physics / Engineering based on numerical methods taught

Special assessment (TE, DA, ...)

Students with special arrangements which can not be assessed in accordance with the general scheme described above, should report the situation to the teacher during the first week of classes or even a week after the facts which substantiate the request for exception. The evaluation will be done in these situations in a case by case basis according to the criteria of the teacher.

Classification improvement

The improvement of note is made according to the following scheme: 1) The improvement can be made only in the final component of the project, and to this end requires the students to improve until a week after the announcement of the final grade. For improvement component of the project, students have until 15 days after the request of improvement. 2) The jury of course also reserves the right to call students to conduct an oral examination whenever it deems appropriate or to evaluate situations not considered in this regime.

Observations

It is assumed that students know how to program in Python. Situations not covered in this regulation must be communicated to the teacher during the first week of classes or even a week after the facts which substantiate the request for exception. The solution of these situations will be made in a case by case basis according to the criteria of the teacher.