Zhenning Cai

993 total citations
47 papers, 624 citations indexed

About

Zhenning Cai is a scholar working on Applied Mathematics, Computational Mechanics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Zhenning Cai has authored 47 papers receiving a total of 624 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 25 papers in Computational Mechanics and 15 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Zhenning Cai's work include Gas Dynamics and Kinetic Theory (30 papers), Computational Fluid Dynamics and Aerodynamics (20 papers) and Fluid Dynamics and Turbulent Flows (10 papers). Zhenning Cai is often cited by papers focused on Gas Dynamics and Kinetic Theory (30 papers), Computational Fluid Dynamics and Aerodynamics (20 papers) and Fluid Dynamics and Turbulent Flows (10 papers). Zhenning Cai collaborates with scholars based in Singapore, China and United States. Zhenning Cai's co-authors include Ruo Li, Yuwei Fan, Zhonghua Qiao, Manuel Torrilhon, Jianfeng Lu, Yanli Wang, Chijie Zhuang, Weizhu Bao, Rong Zeng and Lexing Ying and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

Zhenning Cai

43 papers receiving 553 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Zhenning Cai Singapore	15	470	391	146	96	69	47	624
Nicolas Besse France	15	285 0.6×	288 0.7×	71 0.5×	71 0.7×	31 0.4×	48	712
Jacques Schneider France	10	349 0.7×	271 0.7×	144 1.0×	103 1.1×	21 0.3×	17	470
Armando Majorana Italy	16	368 0.8×	256 0.7×	181 1.2×	83 0.9×	252 3.7×	57	749
Christophe Buet France	13	432 0.9×	399 1.0×	36 0.2×	91 0.9×	9 0.1×	28	586
S. Pennisi Italy	14	475 1.0×	188 0.5×	152 1.0×	317 3.3×	68 1.0×	76	717
Young-ping Pao United States	11	306 0.7×	153 0.4×	103 0.7×	151 1.6×	28 0.4×	32	583
Marie-Hélène Vignal France	15	271 0.6×	413 1.1×	40 0.3×	20 0.2×	16 0.2×	25	553
Oleg G. Bakunin Russia	11	34 0.1×	110 0.3×	90 0.6×	67 0.7×	52 0.8×	34	482
James S. Warsa United States	12	54 0.1×	255 0.7×	34 0.2×	28 0.3×	87 1.3×	44	502
J. W. Bates United States	17	68 0.1×	147 0.4×	278 1.9×	28 0.3×	38 0.6×	37	684

Countries citing papers authored by Zhenning Cai

Since Specialization

Citations

This map shows the geographic impact of Zhenning Cai's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Zhenning Cai with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Zhenning Cai more than expected).

Fields of papers citing papers by Zhenning Cai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Zhenning Cai. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Zhenning Cai. The network helps show where Zhenning Cai may publish in the future.

Co-authorship network of co-authors of Zhenning Cai

This figure shows the co-authorship network connecting the top 25 collaborators of Zhenning Cai. A scholar is included among the top collaborators of Zhenning Cai based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Zhenning Cai. Zhenning Cai is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Cai, Zhenning, et al.. (2025). Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation. Quantum. 9. 1667–1667.

Cai, Zhenning, et al.. (2024). Iterative Methods of Linearized Moment Equations for Rarefied Gases. SIAM Journal on Scientific Computing. 46(5). B669–B699. 1 indexed citations

Cai, Zhenning, et al.. (2024). A Positive and Moment-Preserving Fourier Spectral Method. SIAM Journal on Numerical Analysis. 62(1). 273–294. 1 indexed citations

Cai, Zhenning, et al.. (2023). Real-Time Simulation of Open Quantum Spin Chains with the Inchworm Method. Journal of Chemical Theory and Computation. 19(23). 8523–8540. 4 indexed citations

Cai, Zhenning, et al.. (2023). On the Renormalization Maps for the φ -Divergence Moment Closures Applied in Radiative Transfer. Journal of Computational and Theoretical Transport. 52(6). 399–428.

Cai, Zhenning, et al.. (2023). The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems. SIAM Journal on Scientific Computing. 45(4). A1812–A1843. 5 indexed citations

Cai, Zhenning, et al.. (2022). An Entropic Method for Discrete Systems with Gibbs Entropy. SIAM Journal on Numerical Analysis. 60(4). 2345–2371. 1 indexed citations

Cai, Zhenning, et al.. (2022). Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth. Mathematics of Computation. 92(341). 1141–1209. 12 indexed citations

Cai, Zhenning, et al.. (2021). Inclusion–exclusion principle for open quantum systems with bosonic bath. New Journal of Physics. 23(6). 63049–63049. 12 indexed citations

10.

Cai, Zhenning, et al.. (2020). Inchworm Monte Carlo Method for Open Quantum Systems. Communications on Pure and Applied Mathematics. 73(11). 2430–2472. 20 indexed citations

11.

Cai, Zhenning, et al.. (2020). Flows between parallel plates: Analytical solutions of regularized 13-moment equations for inverse-power-law models. Physics of Fluids. 32(12). 2 indexed citations

12.

Zhuang, Chijie, et al.. (2018). An efficient and accurate MPI based parallel simulator for streamer discharges in three dimensions. arXiv (Cornell University). 17 indexed citations

13.

Cai, Zhenning & Yanli Wang. (2018). Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations. SIAM Journal on Numerical Analysis. 56(5). 3144–3168. 7 indexed citations

14.

Cai, Zhenning, et al.. (2016). FROM DISCRETE VELOCITY MODEL TO MOMENT METHOD. 38(3). 227. 2 indexed citations

15.

Li, Ruo, et al.. (2016). The development and application of the moment method in the gas kinetic theory. Scientia Sinica Informationis. 46(10). 1465–1488. 1 indexed citations

16.

Cai, Zhenning, Yuwei Fan, & Ruo Li. (2015). A Framework on Moment Model Reduction for Kinetic Equation. SIAM Journal on Applied Mathematics. 75(5). 2001–2023. 42 indexed citations

17.

Cai, Zhenning, Yuwei Fan, & Ruo Li. (2014). On hyperbolicity of 13-moment system. Kinetic and Related Models. 7(3). 415–432. 26 indexed citations

18.

Cai, Zhenning, et al.. (2014). Numerical Simulation of Microflows with Moment Method. Brunel University Research Archive (BURA) (Brunel University London). 5 indexed citations

19.

Cai, Zhenning, et al.. (2011). An Efficient NRxx Method for Boltzmann-BGK Equation. Journal of Scientific Computing. 50(1). 103–119. 22 indexed citations

20.

Cai, Zhenning & Ruo Li. (2009). An h-adaptive mesh method for Boltzmann-BGK/hydrodynamics coupling. Journal of Computational Physics. 229(5). 1661–1680. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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