# Browse by Journal or other publication

**20**.

## 2023

Liu, Wei and Mao, Xuerong and Wu, Yue
(2023)
*The backward Euler-Maruyama method for invariant measures of stochastic differential equations with super-linear coefficients.*
Applied Numerical Mathematics, 184.
pp. 137-150.
ISSN 0168-9274

## 2022

Mauser, Norbert J. and Pfeiler, Carl-Martin and Praetorius, Dirk and Ruggeri, Michele
(2022)
*Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics.*
Applied Numerical Mathematics, 180.
pp. 33-54.
ISSN 0168-9274

Cai, Yongmei and Hu, Junhao and Mao, Xuerong
(2022)
*Positivity and boundedness preserving numerical scheme for the stochastic epidemic model with square-root diffusion term.*
Applied Numerical Mathematics.
ISSN 0168-9274

## 2020

Liu, Wei and Mao, Xuerong and Tang, Jingwen and Wu, Yue
(2020)
*Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations.*
Applied Numerical Mathematics, 153.
pp. 66-81.
ISSN 0168-9274

Praetorius, Dirk and Ruggeri, Michele and Stephan, Ernst P.
(2020)
*The saturation assumption yields optimal convergence of two-level adaptive BEM.*
Applied Numerical Mathematics, 152.
pp. 105-124.
ISSN 0168-9274

## 2019

Deng, Shounian and Fei, Weiyin and Liang, Yong and Mao, Xuerong
(2019)
*Convergence of the split-step θ-method for stochastic age-dependent population equations with Markovian switching and variable delay.*
Applied Numerical Mathematics.
ISSN 0168-9274
(In Press)

Claeys, X. and Dolean, V. and Gander, M. J.
(2019)
*An introduction to multitrace formulations and associated domain decomposition solvers.*
Applied Numerical Mathematics, 135.
pp. 69-86.
ISSN 0168-9274

## 2018

Guo, Qian and Liu, Wei and Mao, Xuerong
(2018)
*A note on the partially truncated Euler–Maruyama method.*
Applied Numerical Mathematics, 130.
pp. 157-170.
ISSN 0168-9274

## 2017

Barrenechea, Gabriel and Knobloch, Petr
(2017)
*Analysis of a group finite element formulation.*
Applied Numerical Mathematics, 118.
pp. 238-248.
ISSN 0168-9274

Guo, Qian and Liu, Wei and Mao, Xuerong and Yue, Rongxian
(2017)
*The partially truncated Euler-Maruyama method and its stability and boundedness.*
Applied Numerical Mathematics.
ISSN 0168-9274
(In Press)

## 2009

Araya, Rodolfo and Barrenechea, Gabriel R. and Franca, Leopoldo P. and Valentin, Frédéric
(2009)
*Stabilization arising from PGEM : a review and further developments.*
Applied Numerical Mathematics, 59 (9).
pp. 2065-2081.
ISSN 0168-9274

## 2005

Davies, P.J. and Duncan, D.B. and Zubik-Kowal, B.
(2005)
*The stability of numerical approximations of the time domain current induced on thin wire and strip antennas.*
Applied Numerical Mathematics, 55 (1).
pp. 48-68.

## 2004

Strømmen Melbø, A.H. and Higham, D.J.
(2004)
*Numerical simulation of a linear stochastic oscillator with additive noise.*
Applied Numerical Mathematics, 51 (1).
pp. 89-99.
ISSN 0168-9274

## 2001

Beckett, G. and Mackenzie, J.A.
(2001)
*Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution.*
Applied Numerical Mathematics, 39 (1).
pp. 31-45.
ISSN 0168-9274

## 2000

Aves, M.A. and Davies, P.J. and Higham, D.J.
(2000)
*The effect of quadrature on the dynamics of a discretised nonlinear integro-differential equation.*
Applied Numerical Mathematics, 32 (1).
pp. 1-20.
ISSN 0168-9274

## 1997

Higham, D.J. and Sardar, T.
(1997)
*Dynamics of constant and variable stepsize methods for a nonlinear population model with delay.*
Applied Numerical Mathematics, 24 (2-3).
pp. 425-438.
ISSN 0168-9274

Higham, D.J.
(1997)
*Regular Runge-Kutta pairs.*
Applied Numerical Mathematics, 25.
pp. 229-241.
ISSN 0168-9274

## 1996

Higham, D.J.
(1996)
*Runge-Kutta type methods for orthogonal integration.*
Applied Numerical Mathematics, 22.
pp. 217-223.
ISSN 0168-9274

## 1995

Higham, D.J. and Sardar, T.
(1995)
*Existence and stability of fixed points for a discretised nonlinear reaction-diffusion equation with delay.*
Applied Numerical Mathematics, 18 (1-3).
pp. 155-173.
ISSN 0168-9274

## 1993

Higham, D.J.
(1993)
*Error control for initial value problems with discontinuities and delays.*
Applied Numerical Mathematics, 12 (4).
pp. 315-330.
ISSN 0168-9274