Content, progress and pedagogy of the module

Learning objectives

Knowledge

Students who complete the module:

• Must be able to understand the analytical solution of partial differential equations including
  • Linear equation systems, Gaussian elimination, factorization methods
• Must be able to understand numerical solution methods including
  • Iterative solution of equations e.g. Gauss-Seidel, ill-conditioned systems of linear equations, matrix eigenvalue problems, solution of non-linear equations, interpolation, splines, numerical solution of integrals, numerical solution of first-order and second-order differential equations

Skills

Students who complete the module:

• Must be able to apply numerical methods to solve mathematical problems
• Must be able to apply finite difference and finite element methods including
  • The finite difference method
  • The finite volume method
  • Difference approximations, elliptic equations, Dirichlet og Neumann boundary conditions, parabolic equations, explicit and implicit methods, the Theta method, hyperbolic equations
  • The finite element method

Competences

Students who complete the module:

• Must be able to apply numerical methods in engineering
• Must be able to contribute independently to professional and multidisciplinary work with a professional knowledge on numerical methods
• Must be able to identify personal learning needs and be able to structure the learning within numerical methods

Type of instruction

Lectures, etc. supplemented with project work, workshops, presentation seminars, lab tests.

Extent and expected workload

The module is 5 ECTS which is corresponding to 150 hours of study.

Exam

Exams