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Strathprints makes available scholarly Open Access content by researchers in the Department of Mathematics & Statistics.

Mathematics & Statistics hosts the Marine Population Modelling group which is engaged in research into topics surrounding marine resource modelling and ecology. Recent work has included important developments in the population modelling of marine species.

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Number of items: 47.

Article

Tang, Yiyi and Mao, Xuerong (2024) The modified truncated Euler-Maruyama method for stochastic differential equations with concave diffusion coefficients. Journal of Computational and Applied Mathematics, 440. 115660. ISSN 0377-0427

Cai, Yongmei and Mao, Xuerong and Wei, Fengying (2024) An advanced numerical scheme for multi-dimensional stochastic Kolmogorov equations with superlinear coefficients. Journal of Computational and Applied Mathematics, 437. 115472. ISSN 0377-0427

Difonzo, Fabio and Przybyłowicz, Paweł and Wu, Yue (2024) Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations. Journal of Computational and Applied Mathematics, 436. 115411. ISSN 0377-0427

Goyal, Dheeraj and Hazra, Nil Kamal and Finkelstein, Maxim (2024) Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times. Journal of Computational and Applied Mathematics, 435. 115090. ISSN 0377-0427

Miao, Guangqin and Ding, Feng and Liu, Qinyao and Yang, Erfu (2023) Iterative parameter identification algorithms for transformed dynamic rational fraction input–output systems. Journal of Computational and Applied Mathematics, 434. 115297. ISSN 0377-0427

Zhang, Mimi and Revie, Matthew and Quigley, John (2022) Saddlepoint approximation for the generalized inverse Gaussian Lévy process. Journal of Computational and Applied Mathematics, 411. 114275. ISSN 0377-0427

Bieniasz, L.K. and McKee, S. and Sleeman, B.D. (2022) A generalized Jaeger ℐ(0,1;t) integral, resulting from mathematical modelling in electroanalytical chemistry. Journal of Computational and Applied Mathematics, 407. 114090. ISSN 0377-0427

Mao, Xuerong and Wei, Fengying and Wiriyakraikul, Teerapot (2021) Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model. Journal of Computational and Applied Mathematics. ISSN 0377-0427

Coffie, Emmanuel and Mao, Xuerong (2021) Truncated EM numerical method for generalised Ait-Sahalia-type interest rate model with delay. Journal of Computational and Applied Mathematics, 383. 113137. ISSN 0377-0427

Deng, Shounian and Fei, Chen and Fei, Weiyin and Mao, Xuerong (2020) Tamed EM schemes for neutral stochastic differential delay equations with superlinear diffusion coefficients. Journal of Computational and Applied Mathematics. ISSN 0377-0427

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

Thompson, Tony and Chen, Ke (2019) A more robust multigrid algorithm for diffusion type registration models. Journal of Computational and Applied Mathematics, 361. pp. 502-527. ISSN 0377-0427

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

This list was generated on Thu Mar 28 21:06:09 2024 GMT.