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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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Research Output

Near critical, self-similar, blow-up solutions of the generalised Korteweg–de Vries equation: Asymptotics and computations

Amodio, P., Budd, C. J., Koch, O., Rottschäfer, V., Settanni, G. & Weinmüller, E., 1 Jan 2020, In : Physica D: Nonlinear Phenomena. 401, 132179.

Research output: Contribution to journalArticle

Stable extension of the unified model into the mesosphere and lower thermosphere

Griffith, M. J., Jackson, D. R., Griffin, D. J. & Budd, C. J., 29 May 2020, In : Journal of Space Weather and Space Climate. 10, 19, 20 p., 19.

Research output: Contribution to journalArticle

Open Access

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

Cook, S., Budd, C., Hill, A. & Melvin, T., 1 Nov 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. H., Brace, C. J., Budd, C. J., Copeland, C. D. & Milewski, P. A., 1 Jan 2019, Turbomachinery. American Society of Mechanical Engineers (ASME), 14 p. GT-2019-90091. (Proceedings of the ASME Turbo Expo; vol. 2A-2019).

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

Modelling Axisymmetric Centrifugal Compressor Characteristics from First Principles

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

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


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