Convergence and stability of an explicit numerical method for stochastic differential equations with piecewise continuous arguments.

Mingzhu Liu

Hongling Shi Minghui Song Mingzhu Liu Convergence and stability of an explicit numerical method for stochastic differential equations with piecewise continuous arguments. 23 2025 February 44 Comput. Appl. Math. 1 https://doi.org/10.1007/s40314-024-02972-4 db/journals/cam/cam44.html#ShiSL25 streams/journals/cam

Hui Yuan Mingzhu Liu Yushan Qiu Wai-Ki Ching Quan Zou 0001 PLNMFG: Pseudo-label guided non-negative matrix factorization model with graph constraint for single-cell multi-omics data clustering. 1013375 2025 21 PLoS Comput. Biol. 8 https://doi.org/10.1371/journal.pcbi.1013375 db/journals/ploscb/ploscb21.html#YuanLQCZ25 streams/journals/ploscb

Pengfei Liang 0002 Hanshuang Li Chunshen Long Mingzhu Liu Jian Zhou Yongchun Zuo Chromatin region binning of gene expression for improving embryo cell subtype identification. 108049 2024 March 170 Comput. Biol. Medicine https://doi.org/10.1016/j.compbiomed.2024.108049 https://www.wikidata.org/entity/Q129041164 db/journals/cbm/cbm170.html#LiangLLLZZ24

Hongling Shi Minghui Song Mingzhu Liu Convergence and stability of an explicit method for nonlinear stochastic differential equations with piecewise continuous arguments. 115549 2024 March 438 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2023.115549 db/journals/jcam/jcam438.html#ShiSL24

Yuhang Zhang Minghui Song Mingzhu Liu Bowen Zhao Convergence and stability of the Milstein scheme for stochastic differential equations with piecewise continuous arguments. 417-448 2024 May 96 Numer. Algorithms 1 https://doi.org/10.1007/s11075-023-01652-4 db/journals/na/na96.html#ZhangSLZ24

Hongling Shi Minghui Song Mingzhu Liu Strong convergence of explicit numerical schemes for stochastic differential equations with piecewise continuous arguments. 779-800 2024 October 97 Numer. Algorithms 2 https://doi.org/10.1007/s11075-023-01723-6 db/journals/na/na97.html#ShiSL24 streams/journals/na

Hao Zhang Mingyue Zhao Mingzhu Liu Jiejun Luo Yu Guan Jin Zhang Yi Xia Di Zhang Xiuxiu Zhou Li Fan 0002 Shiyuan Liu S. Kevin Zhou Hierarchical Multiple Instance Learning for COPD Grading with Relatively Specific Similarity. 536-545 2024 MICCAI (1) https://doi.org/10.1007/978-3-031-72378-0_50 conf/miccai/2024-1 db/conf/miccai/miccai2024-1.html#ZhangZLLGZXZZFLZ24 streams/conf/miccai Mingzhu Liu Angela H. Chen George H. Chen Generalized Prompt Tuning: Adapting Frozen Univariate Time Series Foundation Models for Multivariate Healthcare Time Series. 668-679 2024 ML4H@NeurIPS https://proceedings.mlr.press/v259/liu25a.html conf/ml4h/2024 db/conf/ml4h/ml4h2024.html#LiuCC24 streams/conf/ml4h

Mingzhu Liu Angela H. Chen George H. Chen Generalized Prompt Tuning: Adapting Frozen Univariate Time Series Foundation Models for Multivariate Healthcare Time Series. 2024 abs/2411.12824 CoRR https://doi.org/10.48550/arXiv.2411.12824 db/journals/corr/corr2411.html#abs-2411-12824 streams/journals/corr

Mingzhu Liu Jian Zhou Qilemuge Xi Yuchao Liang Haicheng Li Pengfei Liang 0002 Yuting Guo Ming Liu Temuqile Temuqile Lei Yang Yongchun Zuo A computational framework of routine test data for the cost-effective chronic disease prediction. 2023 March 24 Briefings Bioinform. 2 https://doi.org/10.1093/bib/bbad054 db/journals/bib/bib24.html#LiuZXLLLGLTYZ23

Hongling Shi Minghui Song Mingzhu Liu Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments. 2269-2289 2023 100 Int. J. Comput. Math. 12 https://doi.org/10.1080/00207160.2023.2274278 db/journals/ijcm/ijcm100.html#ShiSL23

Yuhang Zhang Minghui Song Mingzhu Liu Strong convergence of the tamed Euler method for nonlinear hybrid stochastic differential equations with piecewise continuous arguments. 115197 2023 429 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2023.115197 db/journals/jcam/jcam429.html#ZhangSL23

Ke Zhang 0022 Miao Long Jie Chen Mingzhu Liu Jingjing Li 0001 CFPNet: A Denoising Network for Complex Frequency Band Signal Processing. 8212-8224 2023 25 IEEE Trans. Multim. https://doi.org/10.1109/TMM.2022.3233398 db/journals/tmm/tmm25.html#ZhangLCLL23

Jieyan Liu Hongcai He Mingzhu Liu Jingjing Li 0001 Ke Lu 0001 Manifold Regularized Joint Transfer for Open Set Domain Adaptation. 9356-9369 2023 25 IEEE Trans. Multim. https://doi.org/10.1109/TMM.2023.3251094 db/journals/tmm/tmm25.html#LiuHLLL23

Negar Farzaneh Hamid Ghanbari Mingzhu Liu Loc Cao Kevin R. Ward Sardar Ansari A Comprehensive Comparison of Six Publicly Available Algorithms for Localization of QRS Complex on Electrocardiograph. 1-4 2023 EMBC https://doi.org/10.1109/EMBC40787.2023.10340013 conf/embc/2023 db/conf/embc/embc2023.html#FarzanehGLCWA23 Qiao Zhang Mingzhu Liu Summary of "Source-Network-Load-Storage" Scheduling of Integrated Energy System Based on Reliability. 170-175 2023 IMMS https://doi.org/10.1145/3625469.3625502 conf/imms/2023 db/conf/imms/imms2023.html#ZhangL23

Yuhang Zhang Minghui Song Mingzhu Liu Bowen Zhao Strong convergence rate of the stochastic theta method for nonlinear hybrid stochastic differential equations with piecewise continuous arguments. 2022 December 41 Comput. Appl. Math. 8 https://doi.org/10.1007/s40314-022-02089-6 https://www.wikidata.org/entity/Q115373125 db/journals/cam/cam41.html#ZhangSLZ22

Yuhang Zhang Minghui Song Mingzhu Liu Convergence and stability of stochastic theta method for nonlinear stochastic differential equations with piecewise continuous arguments. 113849 2022 403 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2021.113849 https://www.wikidata.org/entity/Q115359660 db/journals/jcam/jcam403.html#ZhangSL22

Minghui Song Yuhang Zhang Mingzhu Liu The rate of Lp-convergence for the Euler-Maruyama method of the stochastic differential equations with Markovian switching. 2022 abs/2208.13174 CoRR https://doi.org/10.48550/arXiv.2208.13174 db/journals/corr/corr2208.html#abs-2208-13174

Minghui Song Yidan Geng Mingzhu Liu Stability equivalence among stochastic differential equations and stochastic differential equations with piecewise continuous arguments and corresponding Euler-Maruyama methods. 125813 2021 400 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2020.125813 https://www.wikidata.org/entity/Q115361165 db/journals/amc/amc400.html#SongGL21

Minghui Song Yidan Geng Mingzhu Liu Stability equivalence among stochastic differential equations and stochastic differential equations with piecewise continuous arguments and corresponding Euler-Maruyama methods. 2020 abs/2001.05203 CoRR https://arxiv.org/abs/2001.05203 db/journals/corr/corr2001.html#abs-2001-05203

Huizi Yang Minghui Song Mingzhu Liu Strong convergence and exponential stability of stochastic differential equations with piecewise continuous arguments for non-globally Lipschitz continuous coefficients. 111-127 2019 341 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2018.08.037 https://www.wikidata.org/entity/Q115598165 db/journals/amc/amc341.html#YangSL19

Yulan Lu Minghui Song Mingzhu Liu Convergence and stability of the compensated split-step theta method for stochastic differential equations with piecewise continuous arguments driven by Poisson random measure. 296-317 2018 340 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2018.02.039 https://www.wikidata.org/entity/Q130140630 db/journals/jcam/jcam340.html#LuSL18

Chuang Han Liu Qu Jingwei Dong Yi Jiang Mingzhu Liu Jizheng Li Guodong Li Sorting of Noise Contribution Based on Partial Coherence Theory. 1-5 2018 CISP-BMEI https://doi.org/10.1109/CISP-BMEI.2018.8633066 conf/bmei/2018 db/conf/bmei/bmei2018.html#HanQDJLLL18

Jianwei Niu 0002 Mingzhu Liu Yazhi Liu Lei Shu 0001 Dapeng Wu 0001 A venues-aware message routing scheme for delay-tolerant networks. 1695-1710 2015 15 Wirel. Commun. Mob. Comput. 13 https://doi.org/10.1002/wcm.2454 db/journals/wicomm/wicomm15.html#NiuLLSW15

Bo Yang Yuan Yuan Mingzhu Liu The impact of boundary spanning capability, cultural differences on success of offshore information system outsourcing - from the vendors' perspective. 4-24 2014 14 Int. J. Netw. Virtual Organisations 1/2 https://doi.org/10.1504/IJNVO.2014.065086 db/journals/ijnvo/ijnvo14.html#YangYL14

Sabir Widatalla Mingzhu Liu New Iterative Method Based on Laplace Decomposition Algorithm. 2013 2013 J. Appl. Math. https://doi.org/10.1155/2013/286529 https://www.wikidata.org/entity/Q59002604 db/journals/jam/jam2013.html#WidatallaL13 286529:1-286529:7

Jianwei Niu 0002 Mingzhu Liu Han-Chieh Chao A P2P query algorithm for opportunistic networks utilizing betweenness centrality forwarding. 331-345 2013 9 Mob. Inf. Syst. 4 https://doi.org/10.3233/MIS-130166 db/journals/mis/mis9.html#NiuLC13

Jianwei Niu 0002 Mingzhu Liu Lei Shu 0001 Mohsen Guizani Copy limited flooding over opportunistic networks. 1785-1790 2013 WCNC https://doi.org/10.1109/WCNC.2013.6554834 conf/wcnc/2013 db/conf/wcnc/wcnc2013.html#NiuLSG13 Bo Yang Yuan Yuan Mingzhu Liu The Impact of Boundary Spanning Capability on Success of Offshore IS Outsourcing: From the Vendors' Perspective. 106 2013 WHICEB http://aisel.aisnet.org/whiceb2013/106 conf/whiceb/2013 db/conf/whiceb/whiceb2013.html#YangYL13

Hui Liang 0001 Mingzhu Liu Minghui Song Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect. 1305-1325 2011 88 Int. J. Comput. Math. 6 https://doi.org/10.1080/00207160.2010.504829 https://www.wikidata.org/entity/Q115552465 db/journals/ijcm/ijcm88.html#LiangLS11

Qi Wang Qingyong Zhu Mingzhu Liu Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type. 1542-1552 2011 235 J. Comput. Appl. Math. 5 https://doi.org/10.1016/j.cam.2010.08.041 db/journals/jcam/jcam235.html#WangZL11

Zhencheng Fan Minghui Song Mingzhu Liu The αth moment stability for the stochastic pantograph equation. 109-120 2009 233 J. Comput. Appl. Math. 2 https://doi.org/10.1016/j.cam.2009.04.024 db/journals/jcam/jcam233.html#FanSL09

Guang-Da Hu Mingzhu Liu Xuerong Mao Minghui Song Noise expresses exponential growth under regime switching. 691-699 2009 58 Syst. Control. Lett. 9 https://doi.org/10.1016/j.sysconle.2009.06.006 db/journals/scl/scl58.html#HuLMS09

Guang-Da Hu Mingzhu Liu Properties of the weighted logarithmic matrix norms. 75-84 2008 25 IMA J. Math. Control. Inf. 1 https://doi.org/10.1093/imamci/dnm006 db/journals/imamci/imamci25.html#HuL08

Mingzhu Liu S. F. Ma Z. W. Yang Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments. 57-66 2007 191 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2006.12.008 db/journals/amc/amc191.html#LiuMY07

Guang-Da Hu Mingzhu Liu Stability Criteria of Linear Neutral Systems With Multiple Delays. 720-724 2007 52 IEEE Trans. Autom. Control. 4 https://doi.org/10.1109/TAC.2007.894539 db/journals/tac/tac52.html#HuL07

Zhanwen Yang Mingzhu Liu Minghui Song Stability of Runge-Kutta methods in the numerical solution of equation u'(t)=au(t)+a0u([t])+a1u([t-1]). 37-50 2005 162 Appl. Math. Comput. 1 https://doi.org/10.1016/j.amc.2003.12.081 db/journals/amc/amc162.html#YangLS05

Chengri Jin Mingzhu Liu A new modification of Adomian decomposition method for solving a kind of evolution equation. 953-962 2005 169 Appl. Math. Comput. 2 https://doi.org/10.1016/j.amc.2004.09.072 db/journals/amc/amc169.html#JinL05

Guang-Da Hu Mingzhu Liu Simple criteria for stability of two-dimensional linear systems. 4720-4723 2005 53 IEEE Trans. Signal Process. 12 https://doi.org/10.1109/tsp.2005.859265 db/journals/tsp/tsp53.html#HuL05

Yujie Huang Yufeng Huang Mingzhu Liu Ying Liu Jinhui Sun China land use spatial structure analysis based on the remote sensing survey. 2467-2469 2005 IGARSS https://doi.org/10.1109/IGARSS.2005.1525479 conf/igarss/2005 db/conf/igarss/igarss2005.html#HuangHLLS05

Chunrui Zhang 0001 Mingzhu Liu Baodong Zheng Hopf bifurcation in numerical approximation of a class delay differential equations. 335-349 2003 146 Appl. Math. Comput. 2-3 https://doi.org/10.1016/S0096-3003(02)00546-5 db/journals/amc/amc146.html#ZhangLZ03

Joseph Bockhorst Yu Qiu Jeremy D. Glasner Mingzhu Liu Frederick R. Blattner Mark Craven Predicting bacterial transcription units using sequence and expression data. 34-43 2003 conf/ismb/2003 ISMB (Supplement of Bioinformatics) https://doi.org/10.1093/bioinformatics/btg1003 db/conf/ismb/ismb2003.html#BockhorstQGLBC03 Sardar Ansari Frederick R. Blattner Joseph Bockhorst Loc Cao Han-Chieh Chao Angela H. Chen George H. Chen Jie Chen Wai-Ki Ching Mark Craven Jingwei Dong Li Fan 0002 Zhencheng Fan Negar Farzaneh Yidan Geng Hamid Ghanbari Jeremy D. Glasner Yu Guan Mohsen Guizani Yuting Guo Chuang Han Hongcai He Guang-Da Hu Yufeng Huang Yujie Huang Yi Jiang Chengri Jin Guodong Li Haicheng Li Hanshuang Li Jingjing Li 0001 Jizheng Li Hui Liang 0001 Pengfei Liang 0002 Yuchao Liang Jieyan Liu Ming Liu Shiyuan Liu Yazhi Liu Ying Liu Chunshen Long Miao Long Ke Lu 0001 Yulan Lu Jiejun Luo S. F. Ma Xuerong Mao Jianwei Niu 0002 Yu Qiu Yushan Qiu Liu Qu Hongling Shi Lei Shu 0001 Minghui Song Jinhui Sun Temuqile Temuqile Qi Wang Kevin WardKevin R. Ward Sabir Widatalla Dapeng Oliver WuDapeng Wu 0001 Qilemuge Xi Yi Xia Bo Yang Huizi Yang Lei Yang Z. W. Yang Zhanwen Yang Hui Yuan Yuan Yuan Chunrui Zhang 0001 Di Zhang Hao Zhang Jin Zhang Ke Zhang 0022 Qiao Zhang Yuhang Zhang Bowen Zhao Mingyue Zhao Baodong Zheng Jian Zhou Shaohua Kevin ZhouS. Kevin Zhou Xiuxiu Zhou Qingyong Zhu Quan Zou 0001 Yongchun Zuo