Advanced Numerical Analysis

Code:

PRODEM050

Acronym:

ANA

Keywords
Classification	Keyword
OFICIAL	Mechanical Engineering

Instance: 2012/2013 - 1S

Active?	Yes
Responsible unit:	Mathematics Section
Course/CS Responsible:	Doctoral Program in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
PRODEM	0	Syllabus since 2009/10	1	-	6,5	60	175,5

Teaching language

English

Objectives

During the accademic year 2007/2008 this course will not be available due to sabatical leave and in the next year it will be replaced by
Large dimensional matrix computations

Program

1 - Solution of large dimensional linear systems of equations.
1.1 - Sparse matrix techniques. Structured matrices issued from real life problems.
1.2 - Krylov subspace methods, namely, Congugate Gradients method, GMRES (generalized minimal residuals); brief theoretical description and convergence properties; advantages, disadvantages and applicability. Preconditioning.
1.3 - Multigrid methods.
2 – Two methods for the computation of eigenvalues and eigenvectors of large dimensional problems:
2.1 - Lanczos and Arnoldi methods. Brief theoretical description and details of implementation. Existing software.
2.2 – SVD Singular value decomposition.

Matlab is used for demonstration of examples and tests for its usefulness in Linear Algebra and plotting facilities.

Teaching methods and learning activities

Matlab is used for demonstration of examples and tests for its usefulness in Linear Algebra and plotting facilities.

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	13,00
	Total:	-	0,00