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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