PhD position in Numerical Analysis

Project Description Involution-preserving numerical methods reproduce certain properties of exact solutions of partial differential equations (PDEs) on grids with finite discretization length, which results in accurate solutions without the need to excessively refine the grid. The successful candidate will familiarize him/herself with several different high-order compact numerical methods for conservation laws and modify them to achieve involution preservation. The candidate will implement and test them in order to assess their performance in relevant applications. Your profile Essential qualifications: • Master’s degree in applied mathematics or a related field • strong background in analysis of numerical methods for ODEs or PDEs • motivation to learn new topics and pursue scientific research Desirable qualifications: • experience with Finite Element or Finite Volume methods for evolutionary equations • experience with programming or scientific computing What we offer • fully funded PhD Position for 3 years • the successful candidate will be based at the Institut de Math´ematiques de Bordeaux (campus Talence), an internationally renowned laboratory with a strong focus on applied mathematics • a stimulating research environment • opportunities for conference travel and international collaboration • access to computer resources and training Application procedure Please send your application including • a CV, • a list of courses taken during your Master’s studies including grades, • an informal outline of your experience in numerical analysis and software development, • an academic reference (professor, supervisor of Master’s thesis) who knows you (email/phone number) to Wasilij Barsukow, wasilij.barsukow@math.u-bordeaux.fr. Expected starting date is 1 September 2026. The position is open until filled.