PhD position in numerical analysis for high-dimensional function approximation

KU Leuven; Vlaams-Brabant; On-site; EUR 24,000 - 30,000; Full time

Job summary

KU Leuven in Leuven, Belgium, invites applications for a PhD position in numerical analysis for high-dimensional function approximation. The project, within the NUMA group led by Prof. Dirk Nuyens, focuses on quasi-Monte Carlo methods for numerical integration and function approximation.

The four-year PhD program starts with a one-year contract, with evaluation after nine months to determine continuation. The candidate should hold a master's in Mathematical Engineering, Mathematics, or Computer

Qualifications

• The candidate should have a strong mathematical background and interest in numerical analysis.
• Experience with high-dimensional function approximation is advantageous.
• Familiarity with quasi-Monte Carlo methods is a plus.

Skills

Mathematical analysis

Quasi-Monte Carlo methods

Numerical algorithms

High-dimensional problems

Education

Master's degree in Mathematical Engineering, Mathematics or Computer Science

Job description

PhD position in numerical analysis for high-dimensional function approximation

The research fits into the research of NUMA in the research group of Dirk Nuyens which focuses on quasi-Monte Carlo methods for numerical integration and function approximation.

There are a lot of algorithms to approximate high-dimensional functions. They often are based on samples. We consider the case in which the sample nodes can be chosen and are interested in worst-case errors of e.g. the L2 error over the unit ball of a weighted Sobolev space of dominating mixed smoothness. We are in particular interested in structured point sets from quasi-Monte Carlo methods.

Profile

The candidate has a master degree in Mathematical Engineering, Mathematics or Computer Science or equivalent with a strong desire to mathematically analyse when and how a numerical algorithm works.

Offer

The PhD program in Leuven is a 4 year program. The initial contract is for one year. After nine months the student is evaluated and the outcome determines if the PhD program can be continued.

Interested?

For more information please contact Prof. dr. ir. Dirk Nuyens, mail: [e-mail].

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location_city Locatie: Leuven