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Personal profile

Research interests

I have broad research interests in interdisciplinary industrial and applied mathematics with a particular interest in complex nonlinear problems arising in real applications. Typically these involve the solution (analytically or numerically) of partial differential equations. A large amount of my work for the last ten years has been in numerical weather prediction and data assimilation in close collaboration with the Met Office (which I visit very frequently). My algorithms are now incorporated into the Met Office operational weather forecasting code where they have made a significant difference to their accuracy and received a Knowledge Transfer Award. I am also working on climate modelling using modern mathematical and computational methods and am actively involved in a number of international climate modelling networks, including CliMathNet which I co-direct and the Maths of Planet Earth programme. I also collaborate with the energy industry, the aerospace industry, the telecommunications industry and the food industry. Anywhere that maths can be applied is of interest to me.

Public Understanding of Science and Engagement

I believe very strongly indeed that the excitement and importance of mathematics and science should be communicated to as wide an audience as possible. I am actively involved in doing this, both in developing programmes with young people through my positions of Prof of Mathematics at the Royal Institution and my vice-presidentship of the Institute of Mathematics and its Applications, and in directing the Bath Taps Into Science Festival. My recent projects include two Citizen Science Projects in Climate Science and I am also working closely with Policy Makers involved in climate science. The latter has involved regular discussion/policy meetings with senior civil servants through the CliMathNet network, and also in running programmes on climate science with the British Science Association, the Science Museum and the Royal Institution.

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mesh Physics & Astronomy
Partial differential equations Engineering & Materials Science
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Blow-up Mathematics
Partial differential equation Mathematics
Porous materials Engineering & Materials Science
Crack detection Engineering & Materials Science
Data Assimilation Mathematics

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Projects 2004 2019

Research Output 1996 2019

Error estimates for semi-Lagrangian finite difference methods applied to Burgers' equation in one dimension

Cook, S., Budd, C., Hill, A. & Melvin, T., 21 Jun 2019, In : Applied Numerical Mathematics. 145, p. 261-282 22 p.

Research output: Contribution to journalArticle

Modelling Axisymmetric Centrifugal Compressor Characteristics from First Principles

Powers, K., Brace, C., Budd, C., Copeland, C. & Milewski, P., 12 Feb 2019, (Accepted/In press) Proceedings of ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. GT2019-90091

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Downloads (Pure)

Modelling the view factor of a ‘grain-like’ observer near a tilted pool fire via planar approximation approach

Budd, C. J. & Ugwu, U. O., 1 Jan 2019, In : Applied Mathematical Modelling. 65, p. 23-33 11 p.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)

The moving mesh semi-Lagrangian MMSISL method

Budd, C., 15 Sep 2019, In : Journal of Computational Physics. 393, p. 484-502 19 p.

Research output: Contribution to journalArticle

ARCHi: Automatic Recognition and Classification of Hip Fractures

Murphy, E., Gregson, C., Von Arx, O., Whitehouse, M., Budd, C. & Gill, H., 2018.

Research output: Contribution to conferenceAbstract

X rays
Learning systems
Neural networks
Graphics processing unit


Adaptive Mesh Methods for Numerical Weather Prediction

Author: Cook, S., 23 Nov 2016

Supervisor: Budd, C. (Supervisor) & Melvin, T. (External person) (Supervisor)

Student thesis: Doctoral ThesisPhD


Blow-up and Global Similarity Solutions for Semilinear Third-Order Dispersive PDEs

Author: Koçak, H., 26 Jun 2015

Supervisor: Budd, C. (Supervisor) & Galaktionov, V. (Supervisor)

Student thesis: Doctoral ThesisPhD


Contributions of Distributed Generation to Electric Transmission System

Author: Zhang, Z., 26 Apr 2017

Supervisor: Li, F. (Supervisor) & Budd, C. (Supervisor)

Student thesis: Doctoral ThesisPhD


Modelling & Analysis of Hybrid Dynamic Systems Using a Bond Graph Approach

Author: Margetts, R., 31 Dec 2013

Supervisor: Ngwompo, R. (Supervisor) & Budd, C. (Supervisor)

Student thesis: Doctoral ThesisPhD


Multilayered folding with constraints

Author: Dodwell, T., 1 Sep 2011

Supervisor: Hunt, G. (Supervisor) & Budd, C. (Supervisor)

Student thesis: Doctoral ThesisPhD