Professor Xuerong Mao
Mathematics and Statistics
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Area of Expertise
Stochastic differential equations and their applications.
Prize And Awards
- Medal of 2017 International Scholars' Forum by Shanghai Normal University
- Recipient
- 2017
- Royal Society Wolfson Research Merit Award
- Recipient
- 2016
- Strathclyde Teaching Excellence Award
- Recipient
- 14/5/2015
- The 2013/14 Yangtze River Professorship Award.
- Recipient
- 2015
- The 2015 Leverhulme Research Fellowship Award
- Recipient
- 2015
- Award of Foreign Expert
- Recipient
- 2014
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Publications
- Stationary distribution of periodic stochastic differential equations with Markov switching
- Cai Yongmei, Li Yuyuan, Mao Xuerong
- Journal of Mathematical Analysis and Applications Vol 537 (2024)
- https://doi.org/10.1016/j.jmaa.2024.128291
- An advanced numerical scheme for multi-dimensional stochastic Kolmogorov equations with superlinear coefficients
- Cai Yongmei, Mao Xuerong, Wei Fengying
- Journal of Computational and Applied Mathematics Vol 437 (2024)
- https://doi.org/10.1016/j.cam.2023.115472
- Strong convergence of an explicit numerical approximation for n-dimensional superlinear SDEs with positive solutions
- Cai Yongmei, Guo Qian, Mao Xuerong
- Mathematics and Computers in Simulation Vol 216, pp. 198-212 (2024)
- https://doi.org/10.1016/j.matcom.2023.09.011
- Stabilization of hybrid stochastic differential equations by delay feedback control based on discrete-time observations
- Chen Xing, Li Xiaoyue, Mao Xuerong
- Numerical Algebra, Control and Optimization (2024)
- Approximation of invariant measures of a class of backward Euler-Maruyama scheme for stochastic functional differential equations
- Shi Banban, Wang Ya, Mao Xuerong, Wu Fuke
- Journal of Differential Equations Vol 389, pp. 415-456 (2024)
- Razumikhin technique for stabilisation of highly nonlinear hybrid systems by bounded discrete-time state feedback control working intermittently
- Xu Henglei, Mao Xuerong
- Numerical Algebra, Control and Optimization (2024)
- https://doi.org/10.3934/naco.2024003
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Research Interests
My research interests are mainly in the areas of stochastic differential equations and their applications. The reseach topics include the existence-and-uniqueness theory of the solutions to SDEs, stochastic stability, stochastic stabilisation by feedback controls, stationary distributions, asymptotic estimations, finite-time convergences of numerical solutions, asymptotic analysis of numerical solutions as well as stochastic modelling in finance, engineering, population systems, ecology etc.
Professional Activities
- Keynote talk on "Advances in nonlinear hybrid SDDEs: Existence, Boundedness and Stability" at the 10th TCCT Conference on Stochastic Systems and Controls, Wuhan, China, 4-7 May 2023.
- Participant
- 4/5/2023
- The 4th International Conference on Biomathematical Modelling and Stochastic Analysis, Xuzhou, China, 27 April -1 May 2023.
- Keynote/plenary speaker
- 27/4/2023
- Chairman of the 4th International Conference on Biomathematical Modelling and Stochastic Analysis, Xuzhou, China, 27 April -1 May 2023.
- Organiser
- 27/4/2023
- Invited talk on "Advances in nonlinear hybrid SDDEs: existence, boundedness and stability " at the Workshop on Mathematics of Delayed Phenomena, Northumbria University, Newcastle, 22-23 March 2023.
- Invited speaker
- 22/3/2023
- Research Month @FS 2023: Opening Ceremony, University Technology Malaysia, 9 March 2023.
- Keynote/plenary speaker
- 9/3/2023
- Keynote talk on "Stabilisation in distribution of hybrid ordinary differential equations by periodic noise" at Research Month @FS 2023: Opening Ceremony, University Technology Malaysia, 9 March 2023.
- Keynote/plenary speaker
- 9/3/2023
Projects
- Stochastic Differential Equations: Theory, Numeric and Applications (Saltire Facilitation Award)
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2022 - 31-Jan-2023
- Ergodicity and invariant measures of stochastic delay systems driven by various noises and their applications (Prof. Fuke Wu)
- Mao, Xuerong (Principal Investigator)
- 16-Jan-2017 - 15-Jan-2020
- Long-time dynamics of numerical solutions of stochastic differential equations
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2016 - 30-Jan-2021
- Numerical Analysis of Stochastic Differential Equations: New Challenges
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2015 - 30-Jan-2017
- Environment-Ecosystem-Health dynamics under Stochastic Environment
- Mao, Xuerong (Principal Investigator)
- 01-Jan-2014 - 29-Jan-2016
- Workshop on SDDEs
- Mao, Xuerong (Principal Investigator)
- 10-Jan-2013 - 11-Jan-2013