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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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  • 1 Similar Profiles
mesh Physics & Astronomy
Partial differential equations Engineering & Materials Science
Moving Mesh Mathematics
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 2027

Research Output 1996 2016

10 Citations (Scopus)
52 Downloads (Pure)

Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation

Weller, H., Browne, P., Budd, C. & Cullen, M., 1 Mar 2016, In : Journal of Computational Physics. 308, p. 102-123 22 p.

Research output: Contribution to journalArticle

Open Access
Resource allocation
Equations of motion
69 Downloads (Pure)

Multilayer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity

Budd, C. J. & Stockie, J. M., May 2016, In : Studies in Applied Mathematics. 136, 4, p. 424-458

Research output: Contribution to journalArticle

Open Access
Asymptotic Solution
Porous Media
4 Citations (Scopus)
88 Downloads (Pure)

Global blow-up for a semilinear heat equation on a subspace

Budd, C. J., Dold, J. W. & Galaktionov, V. A., Oct 2015, In : Proceedings of the Royal Society of Edinburgh Section A - Mathematics. 145, 5, p. 893 - 923 31 p.

Research output: Contribution to journalArticle

Open Access
Semilinear Heat Equation
Finite Time Blow-up
2 Citations (Scopus)
95 Downloads (Pure)

The effect of numerical model error on data assimilation

Jenkins, S., Smith, N., Budd, C. & Freitag, M., 15 Dec 2015, In : Journal of Computational and Applied Mathematics. 290, p. 567-588

Research output: Contribution to journalArticle

Open Access
Data Assimilation
Model Error
Numerical models
Finite Difference Scheme

Assessment of DG security contribution on transmission levels

Zhang, Z., Li, J., Li, F., Budd, C. & Hamidi, V., 29 Oct 2014, PES General Meeting/ Conference & Exposition, 2014 IEEE . IEEE, 6939851

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

Distributed power generation
Electric power distribution


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