PhD Position in Numerical Analysis for High-Dimensional Function Approximation
Investigate quasi-Monte Carlo methods and worst-case errors for high-dimensional function approximation at KU Leuven.
Best for:Best for master's graduates in mathematics, mathematical engineering, or computer science with a strong interest in numerical analysis and algorithms.
Overview
KU Leuven invites applications for a four-year doctoral research position within the NUMA research group, supervised by Dirk Nuyens. The project centers on numerical algorithms for approximating high-dimensional functions, with a particular focus on structured point sets derived from quasi-Monte Carlo methods and analyzing worst-case errors in weighted Sobolev spaces. The successful candidate will conduct rigorous mathematical analyses to understand how and when these numerical techniques function effectively. The initial appointment is for one year, with continuation contingent upon a formal performance evaluation after nine months.
What you'll do
- Conduct mathematical analysis of numerical algorithms designed for high-dimensional function approximation
- Investigate worst-case errors such as the L2 error over the unit ball of weighted Sobolev spaces
- Examine structured point sets generated through quasi-Monte Carlo methods
- Collaborate with members of the NUMA research group and publish findings in academic literature
- Participate in doctoral coursework and fulfill milestones required by the KU Leuven PhD program
Requirements
Degree required: Master degree in Mathematical Engineering, Mathematics, Computer Science or equivalent
Degree offered: PhD
Language: English proficiency for research and academic communication
Instruction: English
- Strong background in numerical analysis or applied mathematics
- Demonstrated ability to mathematically analyze numerical algorithms
- Familiarity with approximation theory or probability theory
Funding & terms
How to apply
Deadline: 2026-12-31 (Europe/Brussels)
Interested applicants should submit their application materials through the official KU Leuven job portal by the specified deadline. For further details or informal inquiries, prospective candidates may contact the supervising professor directly via email.
- CV
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- Cover letter
Contact
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