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**37**.

## 2020

Coffie, Emmanuel and Mao, Xuerong
(2020)
*Truncated Euler-Maruyama method for generalised Ait-Sahalia-type interest rate model with delay.*
Journal of Computational and Applied Mathematics.
ISSN 0377-0427
(In Press)

Yang, Hao and Wu, Fuke and Kloeden, Peter E. and Mao, Xuerong
(2020)
*The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients.*
Journal of Computational and Applied Mathematics, 366.
112379.
ISSN 0377-0427

MacKenzie, J.A. and Mekwi, W.R.
(2020)
*An hr-adaptive method for the cubic nonlinear Schrödinger equation.*
Journal of Computational and Applied Mathematics, 364.
112320.
ISSN 0377-0427

## 2019

Deng, Shounian and Fei, Weiyin and Liu, Wei and Mao, Xuerong
(2019)
*The truncated EM method for stochastic differential equations with Poisson jumps.*
Journal of Computational and Applied Mathematics, 355.
pp. 232-257.
ISSN 0377-0427

## 2018

Guo, Qian and Liu, Wei and Mao, Xuerong and Yue, Rong-xian
(2018)
*The truncated Milstein method for stochastic differential equations with commutative noise.*
Journal of Computational and Applied Mathematics, 338.
pp. 298-310.
ISSN 0377-0427

Hu, Liangjian and Li, Xiaoyue and Mao, Xuerong
(2018)
*Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations.*
Journal of Computational and Applied Mathematics, 337.
pp. 274-289.
ISSN 0377-0427

## 2016

Mao, Wei and You, Surong and Mao, Xuerong
(2016)
*On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps.*
Journal of Computational and Applied Mathematics.
ISSN 0377-0427

Mao, Xuerong
(2016)
*Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations.*
Journal of Computational and Applied Mathematics, 296.
pp. 362-375.
ISSN 0377-0427

## 2015

Mao, Xuerong
(2015)
*The truncated Euler–Maruyama method for stochastic differential equations.*
Journal of Computational and Applied Mathematics, 290.
370–384.
ISSN 0377-0427

Conen, Lea and Dolean, Victorita and Krause, Rolf and Nataf, Frédéric
(2015)
*Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator"' [J. Comput. Appl. Math. 271 (2014) 83–99].*
Journal of Computational and Applied Mathematics, 290.
pp. 670-674.
ISSN 0377-0427

Liu, Wei and Mao, Xuerong
(2015)
*Numerical stationary distribution and its convergence for nonlinear stochastic differential equations.*
Journal of Computational and Applied Mathematics, 276.
pp. 16-29.
ISSN 0377-0427

## 2014

Conen, Lea and Dolean, Victorita and Krause, Rolf and Nataf, Frédéric
(2014)
*A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator.*
Journal of Computational and Applied Mathematics, 271.
pp. 83-99.
ISSN 0377-0427

## 2013

Liu, Wei and Mao, Xuerong
(2013)
*Asymptotic moment boundedness of the numerical solutions of stochastic differential equations.*
Journal of Computational and Applied Mathematics, 251.
pp. 22-32.
ISSN 0377-0427

Davydov, Oleg and Yeo, Wee Ping
(2013)
*Refinable C2 piecewise quintic polynomials on Powell–Sabin-12 triangulations.*
Journal of Computational and Applied Mathematics, 240.
pp. 62-73.
ISSN 0377-0427

Mao, Xuerong and Szpruch, Lukasz
(2013)
*Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients.*
Journal of Computational and Applied Mathematics, 238.
pp. 14-28.
ISSN 0377-0427

## 2011

Bao, Jianhai and Bottcher, Bjorn and Mao, Xuerong and Yuan, Chenggui
(2011)
*Convergence rate of numerical solutions to SFDEs with jumps.*
Journal of Computational and Applied Mathematics, 236 (2).
pp. 119-131.
ISSN 0377-0427

Romanovski, Valery G. and Presern, Mateja
(2011)
*An approach to solving systems of polynomials via modular arithmetics with applications.*
Journal of Computational and Applied Mathematics, 236 (2).
pp. 196-208.
ISSN 0377-0427

Lamb, Karen Elaine and Greenhalgh, David and Robertson, Chris
(2011)
*A simple mathematical model for genetic effects in pneumococcal carriage and transmission.*
Journal of Computational and Applied Mathematics, 235 (7).
pp. 1812-1818.
ISSN 0377-0427

Mao, Xuerong and Shen, Yi and Gray, Alison
(2011)
*Almost sure exponential stability of backward Euler–Maruyama discretizations for hybrid stochastic differential equations.*
Journal of Computational and Applied Mathematics, 235 (5).
pp. 1213-1226.
ISSN 0377-0427

## 2010

Cuminato, J.A. and McKee, S.
(2010)
*A note on the eigenvalues of a special class of matrices.*
Journal of Computational and Applied Mathematics, 234 (9).
pp. 2724-2731.
ISSN 0377-0427

Davydov, Oleg and Manni, Carla
(2010)
*A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations.*
Journal of Computational and Applied Mathematics, 233 (7).
pp. 1674-1684.
ISSN 0377-0427

Ainsworth, M.
(2010)
*A framework for obtaining guaranteed error bounds for finite elements approximations.*
Journal of Computational and Applied Mathematics, 234 (9).
pp. 2618-2632.
ISSN 0377-0427

## 2009

Li, Xiaoyue and Jiang, Daqing and Mao, Xuerong,
National Natural Science Foundation of China (Funder), Royal Society of Edinburgh (Funder)
(2009)
*Population dynamical behavior of Lotka-Volterra system under regime switching.*
Journal of Computational and Applied Mathematics, 232 (2).
pp. 427-448.
ISSN 0377-0427

## 2008

Zhang, Y. and Leithead, W.E. and Leith, D.J. and Walshe, L.
(2008)
*Log-det approximation based on uniformly distributed seeds and its application to Gaussian process regression.*
Journal of Computational and Applied Mathematics, 220 (1-2).
pp. 198-214.
ISSN 0377-0427

Araya, Rodolfo and Barrenechea, Gabriel R. and Poza, Abner
(2008)
*An adaptive stabilized finite element method for the generalized Stokes problem.*
Journal of Computational and Applied Mathematics, 214 (2).
pp. 457-479.
ISSN 0377-0427

Pang, Sulin and Deng, Feiqi and Mao, Xuerong,
EPSRC (Funder), National Science Foundation of China (Funder), Jinan University of China (Funder)
(2008)
*Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations.*
Journal of Computational and Applied Mathematics, 213 (1).
pp. 127-141.
ISSN 0377-0427

## 2007

Gauthier, A. and Knight, P.A. and McKee, S.
(2007)
*The Hertz contact problem, coupled Volterra integral equations and a linear complementarity problem.*
Journal of Computational and Applied Mathematics, 206 (1).
pp. 322-340.
ISSN 0377-0427

## 2005

Mao, X. and Yuan, C. and Yin, G.
(2005)
*Numerical method for stationary distribution of stochastic differential equations with Markovian switching.*
Journal of Computational and Applied Mathematics, 174 (1).
pp. 1-27.
ISSN 0377-0427

## 2004

Kraus, Margarita and Langer, M. and Tretter, Christiane
(2004)
*Variational principles and eigenvalue estimates for unbounded block operator matrices and applications.*
Journal of Computational and Applied Mathematics, 171 (1-2).
pp. 311-334.
ISSN 0377-0427

Lötstedt, Per and Ramage, Allison and von Sydow, Lina and Söderberg, Stefan
(2004)
*Preconditioned implicit solution of linear hyperbolic equations with adaptivity.*
Journal of Computational and Applied Mathematics, 194 (2).
pp. 269-289.
ISSN 0377-0427

## 2003

Higham, D.J.
(2003)
*Unravelling small world networks.*
Journal of Computational and Applied Mathematics, 158 (1).
pp. 61-74.
ISSN 0377-0427

## 2002

Ainsworth, M. and Pinchedez, K.
(2002)
*The HP-MITC finite element method for the Reissner-Mindlin Plate Problem.*
Journal of Computational and Applied Mathematics, 148 (2).
pp. 429-462.
ISSN 0377-0427

Lang, A. and Sloan, D.M.
(2002)
*Hermite collocation solution of near-singular problems using numerical coordinate transformations based on adaptivity.*
Journal of Computational and Applied Mathematics, 140 (1-2).
pp. 499-520.
ISSN 0377-0427

## 2001

Beckett, G. and Mackenzie, J.A.
(2001)
*On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution.*
Journal of Computational and Applied Mathematics, 131 (1-2).
pp. 381-405.
ISSN 0377-0427

## 1995

Higham, D.J. and Famelis, I.T.
(1995)
*Equilibrium states of adaptive algorithms for delay differential equations.*
Journal of Computational and Applied Mathematics, 58 (2).
pp. 151-169.
ISSN 0377-0427

## 1993

Higham, D.J.
(1993)
*The tolerance proportionality of adaptive ODE solvers.*
Journal of Computational and Applied Mathematics, 45 (1-2).
pp. 227-236.
ISSN 0377-0427

## 1992

Higham, D.J.
(1992)
*Monotonic piecewise cubic interpolation, with applications to ODE plotting.*
Journal of Computational and Applied Mathematics, 39 (3).
pp. 287-294.
ISSN 0377-0427