Research in computational mathematics covers a broad range of different areas and has strong interdisciplinary links. The focus of our work is on integrated modelling, formulation, analysis and numerical algorithms for differential equations, including ODEs, PDEs, integro-differential equations and stochastic DEs. Of particular interest is the development of innovative discretisation methods and on the approximation of spectral properties of differential operators. Research topics are varied; some examples include the use of computer algebra to analyse integrable systems, the development and analysis of geometric integrators, the design of efficient numerical schemes for multiple scale modelling, stochastic PDEs and quantum lattice dynamics. Applications arise from diverse areas of science and engineering, including biomedical science, finance, fluid dynamics, material science, molecular dynamics, modelling of neurons, oil reservoir simulation, phase transitions and wave propagation.
Related Journals for Computational Mathematics
Journal of Computational Mathematics, Journal of Applied & Computational Mathematics, Foundations of Computational Mathematics, Mathematics of Computation