Third-Cycle Courses

Faculty of Engineering | Lund University

Details for the Course Syllabus for Course FMN005F valid from Autumn 2013

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  • English
  • If sufficient demand
  • The aim of the course is to teach the student theoretical and algorithmical aspects of modern iterative methods in computational linear algebra. This knowledge is important for all computationally intensive disciplines, e.g. fluid dynamics, image analysis, meteorolgy, automatic control etc. Furthermore, the aim is to confront the student with modern research questions in numerical linear algebra and their interrelation with numerics of partial differential equations in engineering and mathematical sciences.
  • The course focuses on iterative methods for large scale, sparse linear problems. These problems occur mostly when discretizing partial differential equations in engineering sciences, physics and mathematics.
Knowledge and Understanding
  • For a passing grade the doctoral student must
  • have demonstrated substantially improved and more useful knowledge of numerical linear algebra than students who only have completed a regular basic course in scientific computing.
Competences and Skills
  • For a passing grade the doctoral student must
  • be able to implement algorithms for numerical linear algebra in a computer and use these in applications.
    be able to present the content of the course book and selected research litterature in well structured and mathematically correct oral presentations.
Judgement and Approach
  • For a passing grade the doctoral student must
  • be able to judge and discuss different numerical methods within linear algebra
Types of Instruction
  • Seminars
  • Project
Examination Formats
  • Seminars given by participants
  • Miscellaneous
  • Talks, numerical experiments
  • Failed, pass
Admission Requirements
Assumed Prior Knowledge
  • Numerical Analysis courses as required for engineering programs F,Pi,E,D or mathematics/pysics master's program. Programming capabilities in at least one of the languages MATLAB/Python/C/C++/Fortran
Selection Criteria
  • Saad, Y.: Iterative Methods for Sparse Linear Systems. SIAM, 2003.
Further Information
Course code
  • FMN005F
Administrative Information
  •  -05-13
  • FN1/Anders Gustafsson

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