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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.

Biography

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

Co Author Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 1993 2019

  • 24 Article
  • 1 Conference contribution
Open Access
File
integrators
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

Grassmannian
Nonlinear Partial Differential Equations
Nonlinearity
Chart
Partial differential equation
Open Access
File
Differential System
Nonlinearity
Partial
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
Chart
Computing
Cayley

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
File
Evans Function
Fredholm Determinant
Transmission Coefficient
determinants
eigenvalues