Course content

Initial- and boundary-value problems for ordinary differential equations using shooting techniques and difference methods. Numerical solution of partial differential equations using difference methods. Both explicit and implicit schemes are used; mostly one-dimensional transient problems. Use of Fourier stability analysis. Stationary problems in two dimensions. The examples and problems are taken mainly from the following fields: Heat transfer, dynamics, elasticity and fluid mechanics. Matlab is used throughout the course; both in the examples and for solving exercises. A short introduction to Fortran90 is given at the end of the course.

Learning outcome

Give the foundation for basic methods used in numerical comutations together with an introduction to programming.

Learning methods and activities

Lectures and problem-solving supplemented with programming, mainly Matlab. If there is a re-sit examination, the examination form may be changed from written to oral.

Compulsory assignments

• Exercises

Recommended previous knowledge

Subject TDT4105 Information Technology, Introduction. Subject TMA4130, Mathematical Subjects, Advanced Course, is recommended, but not required.

Course materials

Compendium. Notes with introduction to Matlab. Collection of problems with solutions given in earlier examinations.

Credit reductions