Numerical Methods

2018/2019

Prerequisite/Recommended prerequisite for participation in the module

The module is based on knowledge achieved in the module Applied engineering mathematics or similar.

Content, progress and pedagogy of the module

Learning objectives

Knowledge

  • Comprehend the solution of partial differential equations with analytical methods
  • Comprehend different numerical methods
  • Comprehend finite difference, finite volume and the Finite Element Method

Skills

  • Be able to use analytical methods for solving partial differential equations, including:
    • Separation Method and D'Alembert's principle
  • Be able to apply numerical methods for solving mathematical problems, including:
    • Linear equations
    • Gauss elimination
    • Factorization methods
    • Iterative solution of linear equation systems, including Gauss-Seidel
    • Ill-conditioned linear equation systems
    • Matrix eigenvalue problems
    • Solution of non-linear equations
    • Interpolation
    • Splines
    • Numerical solution of a definite integral
    • Numerical solution of first order differential equations
    • Numerical solution of second order differential equations
  • Be able to apply the finite difference method for solving partial differential equations, including:
    • Difference approximations
    • Elliptic equations
    • Dirichlet and Neumann boundary conditions
    • Parabolic equations
    • Explicit and implicit methods
    • Theta method
    • Hyperbolic equations
    • The use of the Finite Volume Method
  • Be able to understand the Finite Element Method for the solution of partial differential equations

Competences

  • Be able to handle development-oriented environments involving numerical methods in study or work contexts
  • Be able to independently engage in disciplinary and interdisciplinary collaboration with a professional approach within mathematical numerical methods
  • Be able to identify own learning needs and to structure own learning in numerical methods

Type of instruction

Lectures and exercises. Teaching is in English and/or Danish depending on the participation of international students, or if the supervisor is of foreign origin.

Extent and expected workload

Since it is a 5 ECTS course, the work load is expected to be 150 hours for the student.

Exam

Exams

Name of examNumerical Methods
Type of exam
Oral exam
ECTS5
Assessment7-point grading scale
Type of gradingInternal examination
Criteria of assessmentAs stated in the Joint Programme Regulations.

Facts about the module

Danish titleNumeriske metoder
Module codeN-EN-B5-700
Module typeCourse
Duration1 semester
SemesterAutumn
ECTS5
Language of instructionEnglish
Empty-place SchemeYes
Location of the lectureCampus Aalborg, Campus Esbjerg
Responsible for the module

Organisation

Study BoardStudy Board of Energy
DepartmentDepartment of Energy Technology
FacultyFaculty of Engineering and Science