We propose a continuously updated list of Master 2 internships in the context of the Odelix project. The topics should be regarded as indicative and they be adapted to the specific profiles of students. We are also open to suggestions by students as long as they fit into the general objectives of the Odelix project.

Most subjects are also suitable for Master 1 internships, but we typically intend to propose PhD grants to students who completed a successful Master 2 internship with us.

Applications can be sent by email to Joris van der Hoeven; they should include a CV, a transcript of records, a letter of motivation, and optional recommendation letters. There are no hard deadlines; new applications will be considered at any time of the year, as long as the Odelix project runs.

Axis 1: numerical resolution of ODEs

• Fast evaluation of elementary functions with medium precision

• Numerical approach of generalized flatness

Axis 2: symbolic resolution of ODEs

• Numerical approach to structural parameter identifiability

• Numeric-symbolic polynomial system solving

• Sparse interpolation of rational functions

Axis 3: asymptotic resolution of ODEs

• Zero-testing for differentially algebraic transseries

• Effective H-fields

Axis 4: performance support libraries and interfaces

• SIMD acceleration of straight-line programs

• Exploiting hardware matrix accelerations in computer algebra