H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 73 Citations 26,591 287 World Ranking 95 National Ranking 2

Research.com Recognitions

Awards & Achievements

2008 - Royal Society of Edinburgh

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Differential equation
  • Statistics

Xuerong Mao mainly investigates Stochastic differential equation, Mathematical analysis, Brownian motion, Differential equation and Exponential stability. Stochastic differential equation is a subfield of Applied mathematics that Xuerong Mao tackles. His Mathematical analysis research integrates issues from Lyapunov exponent and Stationary distribution.

The concepts of his Brownian motion study are interwoven with issues in Probability distribution, Stochastic modelling, Mathematical physics, Differential and Markov chain. His Differential equation study incorporates themes from Martingale, Hybrid system and Brownian noise. His Exponential stability research is multidisciplinary, relying on both Almost surely and Stochastic process.

His most cited work include:

  • Stochastic Differential Equations and Applications (2781 citations)
  • Stochastic Differential Equations with Markovian Switching (978 citations)
  • Stochastic differential equations and their applications (859 citations)

What are the main themes of his work throughout his whole career to date?

Xuerong Mao mostly deals with Stochastic differential equation, Mathematical analysis, Exponential stability, Applied mathematics and Differential equation. In his study, Markov chain, Stochastic process and Stochastic modelling is strongly linked to Brownian motion, which falls under the umbrella field of Stochastic differential equation. His work deals with themes such as Differential and Lyapunov function, which intersect with Exponential stability.

His Applied mathematics study integrates concerns from other disciplines, such as Class, Bounded function, Monte Carlo method and Epidemic model. His Differential equation research integrates issues from Almost surely, Semimartingale, Martingale and Exponential function. The various areas that Xuerong Mao examines in his Stochastic partial differential equation study include Runge–Kutta method, Numerical partial differential equations, Distributed parameter system and Delay differential equation.

He most often published in these fields:

  • Stochastic differential equation (46.11%)
  • Mathematical analysis (43.52%)
  • Exponential stability (38.33%)

What were the highlights of his more recent work (between 2017-2021)?

  • Applied mathematics (36.31%)
  • Stochastic differential equation (46.11%)
  • Exponential stability (38.33%)

In recent papers he was focusing on the following fields of study:

Xuerong Mao focuses on Applied mathematics, Stochastic differential equation, Exponential stability, Nonlinear system and Stability. His Applied mathematics study incorporates themes from Euler–Maruyama method, Differential, Class, Bounded function and Lipschitz continuity. His Stochastic differential equation research includes themes of Poisson distribution, Brownian motion, Constant, Approximate solution and Variable.

Xuerong Mao usually deals with Exponential stability and limits it to topics linked to Differential equation and Upper and lower bounds. His Stability study frequently links to adjacent areas such as Mathematical analysis. His biological study spans a wide range of topics, including Markov process and Markov chain.

Between 2017 and 2021, his most popular works were:

  • Stability Analysis for Continuous-Time Switched Systems With Stochastic Switching Signals (58 citations)
  • Stability of highly nonlinear neutral stochastic differential delay equations (23 citations)
  • Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in pth moment, and stability (21 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Statistics
  • Differential equation

His scientific interests lie mostly in Applied mathematics, Stochastic differential equation, Exponential stability, Brownian motion and Stability. His studies deal with areas such as Rate of convergence and Bounded function as well as Applied mathematics. Xuerong Mao frequently studies issues relating to Class and Stochastic differential equation.

His research integrates issues of Almost surely and Lyapunov function in his study of Exponential stability. He has included themes like Differential, Lipschitz continuity and Nonlinear system in his Stability study. His study in Differential is interdisciplinary in nature, drawing from both Lyapunov functional and Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Stochastic Differential Equations and Applications

Xuerong Mao.
(1998)

4846 Citations

Stochastic Differential Equations With Markovian Switching

Xuerong Mao;Chenggui Yuan.
(2006)

1464 Citations

Stochastic differential equations and their applications

Xuerong Mao.
(1997)

1290 Citations

Exponential Stability of Stochastic Differential Equations

Xuerong Mao.
(1994)

836 Citations

Stability of stochastic differential equations with Markovian switching

Xuerong Mao.
Stochastic Processes and their Applications (1999)

772 Citations

Environmental Brownian noise suppresses explosions in population dynamics

Xuerong Mao;Glenn Marion;Eric Renshaw.
Stochastic Processes and their Applications (2002)

693 Citations

Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations

Desmond J. Higham;Xuerong Mao;Andrew M. Stuart.
SIAM Journal on Numerical Analysis (2002)

615 Citations

Exponential stability of stochastic delay interval systems with Markovian switching

Xuerong Mao.
IEEE Transactions on Automatic Control (2002)

491 Citations

A Stochastic Differential Equation SIS Epidemic Model

Alison J. Gray;David Greenhalgh;Liangjian Hu;Xuerong Mao.
Siam Journal on Applied Mathematics (2011)

411 Citations

Stability of stochastic delay neural networks

Steve Blythe;Xuerong Mao;Xiaoxin Liao.
Journal of The Franklin Institute-engineering and Applied Mathematics (2001)

375 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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