Numerical analysis and scientific computing
Our researchers develop and analyse algorithms that compute numerical approximations and apply them to realworld problems.
PhD projects
We welcome applications for PhD study in all areas of numerical analysis and scientific computing.
PhD enquiries related to this theme can be directed to Dr Stefan Güttel.
We design algorithms for the solution of continuous problems, which requires the development of numerical approximations when closed form solutions do not exist. These continuous problems can arise from mathematical models of physical processes such as fluid flow, heat transfer and solid mechanics. We also treat finitedimensional matrix problems, which typically arise from discretization of continuous operators or from datadriven applications.
Our work covers the whole spectrum of the discipline from fundamental theory to algorithms to implementation in open source software.
Our research focuses particularly on
 Approximation theory
 Fast solvers for partial differential equations
 Finite element approximation
 Numerical algorithms and software development
 Numerical linear algebra
 Uncertainty quantification for partial differential equations
We have close links with international companies such as Arup, NAG, and The MathWorks.
Areas of expertise

Approximation theory
Approximation theory is a key component of contemporary algorithms used in computational science and engineering.
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Numerical linear algebra
Numerical linear algebra is at the heart of computational algorithms used in science and engineering, and in industry.
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Scientific computing
Scientific computing is the study of the techniques that underpin disciplinespecific fields of computational science.
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Uncertainty quantification
Uncertainty quantification is a modern interdisciplinary science that cuts across traditional research groups and combines statistics, numerical analysis and computational applied mathematics.
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Research outputs
Find the Department's recent publications in the University's database.
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Postgraduate research
Discover the PhD opportunities available in the Department of Mathematics.
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Research seminars
Research seminars on topics associated with numerical analysis and scientific computing take place regularly in the following series: