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Personal profile

Research interests

My research interests are broad. They include theoretical fluid mechanics, reaction-diffusion,spectral analysis and computation,and the structure and simulation of stochastic differential systems.


After finishing my PhD at Imperial in 1993, I spend three years at the University of Arizona. Then two years at Nottingham and two years at Imperial as a temporary lecturer followed. I joined Heriot-Watt in September 200.

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Evans Function Mathematics
Vector Field Mathematics
Grassmannian Mathematics
Differential System Mathematics
Shuffle Mathematics
Semimartingale Mathematics
Lévy Process Mathematics
Stochastic Equations Mathematics

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Research Output 1993 2019

  • 24 Article
  • 1 Conference contribution
Open Access
Lévy Process
Algebraic Structure
Stochastic Equations
Differential equations

Grassmannian flows and applications to nonlinear partial differential equations

Beck, M., Doikou, A., Malham, S. J. A. & Stylianidis, I., 14 Jan 2019, Computation and Combinatorics in Dynamics, Stochastics and Control: Abelsymposium 2016. Di Nunno, G., Celledoni, E., Ebrahimi-Fard, K. & Munthe-Kaas, H. Z. (eds.). Springer, p. 71-98 28 p. (Abel Symposia; vol. 13).

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

Nonlinear Partial Differential Equations
Partial differential equation
Open Access
Differential System
Nonlinear Schrodinger Equation
Fredholm Integral Equation

Computing the Maslov index for large systems

Beck, M. & Malham, S. J. A., 2015, In : Proceedings of the American Mathematical Society. 143, 5, p. 2159-2173 15 p.

Research output: Contribution to journalArticle

Maslov Index
Symmetric matrix

Evans function and fredholm determinants

Karambal, I. & Malham, S. J. A., 2015, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, 2174, 20140597.

Research output: Contribution to journalArticle

Open Access
Evans Function
Fredholm Determinant
Transmission Coefficient