Dr Natalia Petrovskaya MSci PhD

School of Mathematics
Associate Professor in Applied Mathematics

Contact details

Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Natalia Petrovskaya is an Associate Professor and a member of the Optimisation and Numerical Analysis Group in the School of Mathematics.

Personal webpage

Qualifications

  • PhD in Computational Mathematics, Keldysh Institute for Applied Mathematics, Russian Academy of Science, Moscow, Russia, 1995
  • MSci in Theoretical Physics and Applied Mathematics, National Research Nuclear University MEPhI, Moscow, Russia, 1991

Teaching

Semester 1

  • LH/LM Mathematical Finance
  • LI/LH Multivariable and Vector Analysis

Postgraduate supervision

Natalia is interested in supervising doctoral research students in mathematical and computational ecology. Brief description of PhD projects.

Research

 

Research themes

  • Applied numerical analysis and computer simulation

Research activity

Natalia Petrovskaya is an applied mathematician with broad research experience in applied numerical analysis and computer simulation of complex biological, physical and engineering problems. Her research interests mainly concern design of non-conventional numerical algorithms for computational problems where standard numerical methods do not work or are not efficient because of the problem complexity. Recent applications include problems in mathematical ecology.

Publications

Full publication list

Selected

B.F.Deeley, N.B.Petrovskaya. Propagation of Invasive Plant Species in the Presence of a Road. Journal of Theoretical Biology, 2022.

S.V. Petrovskii, J.R.Ellis, N.B.Petrovskaya, E. Forbes, and K.F.A. Walters. A Predictive Model and a Field Study on Heterogeneous Slug Distribution in Arable Fields Arising from Density Dependent Movement. Scientific Reports, 2022, 12:2274

D. L. DeAngelis et al. Towards Building a Sustainable Future: Positioning Ecological Modelling for Impact in Ecosystems Management. Bulletin of Mathematical Biology, 2021, 83:107

J.R.Ellis, N.B.Petrovskaya, E. Forbes, K.F.A. Walters, and S.V. Petrovskii. Patterns of Individual Movement of the Grey Field Slug (Deroceras reticulatum) in an Arable Field. Scientific Reports, 2020, 10:17970

N.B.Petrovskaya, S.V. Petrovskii. Catching Ghosts with a Coarse Net: Use and Abuse of Spatial Sampling Data in Detecting Synchronization. J. R. Soc. Interface, 2017, 14: 20160855

S.V.Petrovskii, N.B.Petrovskaya, D.Bearup. Multiscale Approach to Pest Insect Monitoring: Random Walks, Pattern Formation, Synchronization, and Networks. Physics of Life Reviews, 2014, 11:467-525

N.B.Petrovskaya, N.L.Embleton. Evaluation of Peak Functions on Ultra-Coarse Grids. Proc. R. Soc. A, 2013, 469:20120665

S.V.Petrovskii, N.B.Petrovskaya. Computational Ecology as an Emerging Science. J.R.Soc. Interface Focus, 2012, 2:241-254

N.B.Petrovskaya, S.V.Petrovskii, A.K.Murchie. Challenges of Ecological Monitoring: Estimating Population Abundance From Sparse Trap Counts. J.R.Soc.Interface, 2012, 9:420-435

N.B.Petrovskaya, S. V. Petrovskii. The Coarse-Grid Problem in Ecological Monitoring. Proc. R. Soc. A, 2010, 466:2933-2953

N.B.Petrovskaya. On Oscillations in Discontinuous Galerkin Discretization Schemes for Steady State Problems. SIAM J. Sci. Comput., 2006, 27:1329-1346

N.B.Petrovskaya. Two Types of Solution Overshoots in Discontinuous Galerkin Discretization Schemes. Comm. Math. Sci., 2005, 3:233-247

N.B.Petrovskaya. Modification of a Finite Volume Scheme for Laplace's Equation. SIAM J. Sci. Comput., 2001, 23:891-909

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