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University of Birmingham

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PhD Studentship: Regularized dynamical parametric approximations for gradient flows University of Birmingham in United Kingdom

Degree Level

PhD

Field of study

Computer Science

Funding

Available

Deadline

Nov 6, 2026

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Country

United Kingdom

University

University of Birmingham

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Keywords

Computer Science
Chemistry
Mathematics
Computational Chemistry
Numerical Analysis
Electronic Structure
Dynamical Systems
Artificial Neural Network
Pde
Physics

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About this position

[Possible college or EPSRC scholarship covering tuition fees, training support, and a stipend at standard rates for 3.5 years. Self-funded applicants also considered.]

PhD Studentship at the University of Birmingham on Regularized dynamical parametric approximations for gradient flows.

This project sits at the intersection of classical numerical analysis, scientific machine learning, and computational chemistry. It focuses on parametric integrators for high-dimensional partial differential equations, with applications including quantum dynamics, tensor-network and neural-network-based dynamical approximation, and difficult optimisation problems such as the electronic structure problem.

The research will investigate why these parametrizations are often irregular and lead to ill-conditioned linear systems, and how regularization techniques together with time-stepping schemes for gradient systems can improve robustness and performance. The project is therefore a strong fit for students interested in numerical methods for PDEs, computational mathematics, and modern data-driven scientific computing.

Funding: Funding may be available through a College or EPSRC scholarship. The scholarship may cover tuition fees, training support, and a stipend at standard rates for 3.5 years. Strong self-funded applicants worldwide may also be considered.

Eligibility highlights: a strong first-class degree in Mathematics at MMath/MSci/MSc level or equivalent; a solid background in numerical analysis of differential equations; excellent programming skills; and excellent oral and written communication skills.

Application notes: Early application is strongly recommended. Scholarship applications typically have an annual deadline at the end of January, and overseas candidates can only be considered until the beginning of September. Informal enquiries should be directed to Dr Jörg Nick at [email protected].

Funding details

Available

What's required

A strong first-class degree in Mathematics at MMath, MSci, or MSc level, or equivalent, is required. Applicants should have a solid background in numerical analysis of differential equations, excellent programming skills, and excellent oral and written communication skills.

How to apply

Make an informal inquiry to Dr Jörg Nick at [email protected] if interested. Submit an application for the PhD studentship and note that scholarship applications have an annual deadline, typically at the end of January. Overseas candidates should apply as early as possible, as they can only be considered until the beginning of September.

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