Edit Profile (opens in new tab) Lu, Dong Co-Author Distance Author ID: lu.dong Published as: Lu, Dong Documents Indexed: 23 Publications since 1991 Co-Authors: 16 Co-Authors with 21 Joint Publications 786 Co-Co-Authors all top 5 Co-Authors 0 single-authored 14 Wang, Dingkang 9 Xiao, Fanghui 4 Sun, Yao 3 Zhang, Yongtao 2 Kapur, Deepak 2 Ma, XiaoDong 2 Monagan, Michael B. 2 Zheng, Xiaopeng 1 Chen, Jindi 1 Chen, Shanqin 1 Kondo, Shunsuke 1 Li, Ning 1 Mu, Yuhao 1 Takizawa, Akihiko 1 Wang, Dongming 1 Wang, Qinglin 1 Zhan, Yaosong 1 Zhou, Jie all top 5 Serials 5 Journal of Systems Science and Complexity 4 Journal of Symbolic Computation 2 Journal of Scientific Computing 2 Multidimensional Systems and Signal Processing 1 Journal of Beijing Institute of Technology. English Edition 1 IEEE Transactions on Communications 1 Computational Mechanics 1 Journal of Economic Dynamics & Control 1 Economics Letters 1 Pure and Applied Mathematics Quarterly all top 5 Fields 11 Computer science (68-XX) 9 Commutative algebra (13-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 3 Partial differential equations (35-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 41 times in 30 Documents Cited by ▼ Year ▼ Krylov integration factor method on sparse grids for high spatial dimension convection-diffusion equations. Zbl 1370.65045 Lu, Dong; Zhang, Yong-Tao 11 2016 Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems. Zbl 1381.65067 Lu, Dong; Zhang, Yong-Tao 6 2017 A new algorithm for general factorizations of multivariate polynomial matrices. Zbl 1457.68328 Lu, Dong; Ma, Xiaodong; Wang, Dingkang 6 2017 Further results on the factorization and equivalence for multivariate polynomial matrices. Zbl 07300088 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 4 2020 An efficient algorithm for computing parametric multivariate polynomial GCD. Zbl 1467.13047 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 3 2018 A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases. Zbl 1417.68295 Lu, Dong; Sun, Yao; Wang, Dingkang 2 2019 Factorizations for a class of multivariate polynomial matrices. Zbl 1459.15014 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 2 2020 Third order WENO scheme on sparse grids for hyperbolic equations. Zbl 1422.65148 Chen, Shanqin; Lu, Dong; Zhang, Yong-Tao 2 2018 New results on the equivalence of bivariate polynomial matrices. Zbl 1512.15011 Zheng, Xiaopeng; Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2023 Extending the GVW algorithm to local ring. Zbl 1467.13049 Lu, Dong; Wang, Dingkang; Xiao, Fanghui; Zhou, Jie 1 2018 Algorithms for computing greatest common divisors of parametric multivariate polynomials. Zbl 1443.13023 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 1 2021 Solving multivariate polynomial matrix Diophantine equations with Gröbner basis method. Zbl 1483.11265 Xiao, Fanghui; Lu, Dong; Wang, Dingkang 1 2022 On factor left prime factorization problems for multivariate polynomial matrices. Zbl 1473.15023 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2021 New results on the equivalence of bivariate polynomial matrices. Zbl 1512.15011 Zheng, Xiaopeng; Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2023 Solving multivariate polynomial matrix Diophantine equations with Gröbner basis method. Zbl 1483.11265 Xiao, Fanghui; Lu, Dong; Wang, Dingkang 1 2022 Algorithms for computing greatest common divisors of parametric multivariate polynomials. Zbl 1443.13023 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 1 2021 On factor left prime factorization problems for multivariate polynomial matrices. Zbl 1473.15023 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2021 Further results on the factorization and equivalence for multivariate polynomial matrices. Zbl 07300088 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 4 2020 Factorizations for a class of multivariate polynomial matrices. Zbl 1459.15014 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 2 2020 A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases. Zbl 1417.68295 Lu, Dong; Sun, Yao; Wang, Dingkang 2 2019 An efficient algorithm for computing parametric multivariate polynomial GCD. Zbl 1467.13047 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 3 2018 Third order WENO scheme on sparse grids for hyperbolic equations. Zbl 1422.65148 Chen, Shanqin; Lu, Dong; Zhang, Yong-Tao 2 2018 Extending the GVW algorithm to local ring. Zbl 1467.13049 Lu, Dong; Wang, Dingkang; Xiao, Fanghui; Zhou, Jie 1 2018 Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems. Zbl 1381.65067 Lu, Dong; Zhang, Yong-Tao 6 2017 A new algorithm for general factorizations of multivariate polynomial matrices. Zbl 1457.68328 Lu, Dong; Ma, Xiaodong; Wang, Dingkang 6 2017 Krylov integration factor method on sparse grids for high spatial dimension convection-diffusion equations. Zbl 1370.65045 Lu, Dong; Zhang, Yong-Tao 11 2016 all cited Publications top 5 cited Publications all top 5 Cited by 47 Authors 7 Lu, Dong 6 Wang, Dingkang 6 Zhang, Yongtao 5 Xiao, Fanghui 4 Li, Dongmei 4 Liu, Jinwang 2 Gu, Xian-Ming 2 Huang, Ting-Zhu 2 Jian, Huanyan 2 Liu, Xinfeng 2 Nabeshima, Katsusuke 2 Ostermann, Alexander 2 Wu, Tao 2 Zhao, Yongliang 2 Zheng, Licui 2 Zheng, Xiaopeng 2 Zhu, Xiaozhi 1 Ahmed, Sameed 1 Asante-Asamani, E. O. 1 Chen, Shanqin 1 Chen, Shaoshi 1 Cheng, Yingda 1 Du, Qiang 1 Gao, Xiaoshan 1 Ju, Lili 1 Kayal, Neeraj 1 Kleefeld, Andreas 1 Lairez, Pierre 1 Lakoba, Taras I. 1 Li, Hongbo 1 Li, Xiao 1 Li, Xiaoliang 1 Liu, Shuang 1 Liu, Yuan 1 Machen, Michael 1 Mou, Chenqi 1 Nair, Vineet 1 Niu, Wei 1 Qiao, Zhonghua 1 Saha, Chandan 1 Sun, Yao 1 Tajima, Shinichi 1 Tsybulnik, Ernie 1 Wade, Bruce A. 1 Wang, Dongming 1 Wang, Hesong 1 Wei, Jingjing all top 5 Cited in 15 Serials 7 Journal of Systems Science and Complexity 5 Journal of Symbolic Computation 5 Journal of Scientific Computing 2 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 SIAM Review 1 Applicable Algebra in Engineering, Communication and Computing 1 Computational Complexity 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematics in Computer Science 1 Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive all top 5 Cited in 14 Fields 13 Partial differential equations (35-XX) 13 Numerical analysis (65-XX) 9 Commutative algebra (13-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Algebraic topology (55-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year