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We have 117 Computational Mathematics PhD Projects, Programmes & Scholarships PhD Projects, Programmes & Scholarships in the UK

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United Kingdom

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Computational Mathematics PhD Projects, Programmes & Scholarships PhD Projects, Programmes & Scholarships in the UK

We have 117 Computational Mathematics PhD Projects, Programmes & Scholarships PhD Projects, Programmes & Scholarships in the UK

A PhD in Computational Mathematics involves the use of complex mathematical models to find solutions to complex problems in fields such as Physics and Engineering.

What's it like to study a PhD in Computational Mathematics?

As a PhD student in Computational Mathematics, you'll work with your supervisory team to come up with solutions to real-world problems using mathematical models. You'll likely divide your time between lab-based research and writing your thesis.

Some popular research areas in Computational Mathematics include:

  • Computational imaging
  • Computational mechanics
  • Computational finance
  • Data science
  • Mathematical biology
  • Statistical physics

You might also have the opportunity to collaborate with other departments at your university to connect your research to their work.

Most PhDs in Computational Mathematics are advertised with a research objective attached, but it's also possible to propose your own research project. Your proposal will need to be reviewed and accepted before you can begin your PhD.

In the UK, you'll usually complete a PhD in Computational Mathematics over three years, although some departments may ask you to study over four years.

If you are performing research that is connected to the work of other departments at your university, you may be asked to divide your time between working on your own research and assisting with other projects.

Entry requirements

Because it is a research-led degree, entry requirements for a PhD in Computational Mathematics are the same as those for a Masters in Computational Mathematics. You'll most likely need an Upper Second-class Honours degree in Mathematics or a relevant subject, such as Physics, Engineering or Computer Science.

You may also need some professional experience in Computational Mathematics, depending on the programme you apply to.

PhD in Computational Mathematics funding options

In the UK, PhDs in Computational Mathematics are funded by the Engineering and Physical Sciences Research Council (EPSRC). They offer full-time students a fully-funded studentship, along with a tuition fee waiver and a living cost stipend.

If you're applying for a PhD advertised with a research objective attached, you'll receive any funding attached to the project. If you're proposing your own project, you'll first need to be accepted onto a PhD to be eligible for funding.

PhD in Computational Mathematics careers

A PhD in Computational Mathematics can open many doors to careers in scientific research and computing, as well as finance and technology. You may also have the opportunity to continue your research career by applying for a postdoc or research fellow position.

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Computational modelling studies of flow and mixing of particle-liquid systems in industrial stirred vessels

Funding is available to fully support a PhD research student (including university tuition fees and salary tax free). The candidate must be a UK citizen and should have at least a strong upper second-class (2.1) degree in Chemical Engineering or related discipline. Read more

Continuum modelling of particulate flows in nature and industry

Fully Funded EPSRC DTP PhD Studentship in Applied and Computational Mathematics.  .  . Project Summary. So much of the natural and man-made world is composed of collections of discrete solid grains. Read more

Towards Machine Understanding of Human Languages: AI for Storytelling Across Languages and Cultures

In the realm of AI and computer science, disciplines such as Natural Language Processing (NLP), Human-Computer Interaction (HCI), and AI-centric Language Models are critical for fostering communication and collaboration between humans and machines in the future. Read more

Human and Computer Representation of Images Synthesised by Generative Adversarial Networks

Generative adversarial networks (GANs) are a family of cutting-edge Machine Learning techniques that allow users to generate large numbers of images (or other real-world data such as language, sounds, etc.). Read more

Combining Finite Element Methods with Machine Learning for Efficient Wave Simulations

We are seeking a highly motivated and skilled candidate for a PhD position in the field of numerical solutions of wave problems. The successful candidate will work on developing an efficient numerical solver for wave problems using advanced finite element methods coupled with machine learning. Read more

Testing the limits of efficient algorithms for computationally hard problems

The analysis of algorithms is a substantial contribution that mathematics has made to computer science. Typically, the efficiency of an algorithm is determined by how much resource the algorithm consumes as a function of its input size. Read more

Computational modelling studies of flow and mixing of particle-liquid systems in industrial stirred vessels

Funding is available to fully support a PhD research student (including university tuition fees and salary tax free). The candidate must be a UK citizen and should have at least a strong upper second-class (2.1) degree in Chemical Engineering or related discipline. Read more

PhD studentship in Economics and Computation

The aim of this project is to study economic environments such as game theoretic environments, fair division or social choice theory from the perspective of algorithms, mechanism and computational complexity. Read more

PhD Studentship in Geometric Analysis and Machine Learning

PhD studentship in the Analysis and PDEs Research Group in Mathematics. PhD project. A fully funded PhD studentship in Geometric Analysis and Calculus of Variations with applications to Machine Learning is available with a start date of September 2023. Read more

How do peers influence adolescent health behaviour? Using social network analysis to understand mechanisms in peer-led interventions.

Peers can have a large impact on health behaviour during adolescence. Social network interventions in schools, which involve using influential, or well-connected, students to help change behaviour, are increasingly common and show great potential. Read more

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