Xiaochuan Tian

1.5k total citations
39 papers, 905 citations indexed

About

Xiaochuan Tian is a scholar working on Mechanics of Materials, Computational Mechanics and Electrical and Electronic Engineering. According to data from OpenAlex, Xiaochuan Tian has authored 39 papers receiving a total of 905 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Mechanics of Materials, 20 papers in Computational Mechanics and 11 papers in Electrical and Electronic Engineering. Recurrent topics in Xiaochuan Tian's work include Numerical methods in engineering (32 papers), Advanced Numerical Methods in Computational Mathematics (17 papers) and Electromagnetic Simulation and Numerical Methods (10 papers). Xiaochuan Tian is often cited by papers focused on Numerical methods in engineering (32 papers), Advanced Numerical Methods in Computational Mathematics (17 papers) and Electromagnetic Simulation and Numerical Methods (10 papers). Xiaochuan Tian collaborates with scholars based in United States, China and Chile. Xiaochuan Tian's co-authors include Qiang Du, Yunzhe Tao, Marta D’Elia, Max Gunzburger, Zhi Zhou, Christian Glusa, Yu Leng, John T. Foster, Jiang Yang and Pablo Seleson and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and SIAM Journal on Numerical Analysis.

In The Last Decade

Xiaochuan Tian

38 papers receiving 807 citations

Peers

Xiaochuan Tian

EEE

Davoud Mirzaei Iran

Etienne Emmrich Germany

Hsin‐Yun Hu Taiwan

C. S. Chen United States

Marián Slodička Belgium

C.S. Chen United States

Dehao Yu China

Sirajul Haq Pakistan

Ömer Oruç Türkiye

Hongxing Rui China

Davoud Mirzaei Iran

Xiaochuan Tian

1.1k ×1.6

313 ×1.0

EEE

655 ×2.1

410 ×2.1

481 ×2.5

Citations per year, relative to Xiaochuan Tian Xiaochuan Tian (= 1×) peers Davoud Mirzaei

Countries citing papers authored by Xiaochuan Tian

Since Specialization

Citations

This map shows the geographic impact of Xiaochuan Tian'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 Xiaochuan Tian with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Xiaochuan Tian more than expected).

Fields of papers citing papers by Xiaochuan Tian

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Xiaochuan Tian. 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 Xiaochuan Tian. The network helps show where Xiaochuan Tian may publish in the future.

Co-authorship network of co-authors of Xiaochuan Tian

This figure shows the co-authorship network connecting the top 25 collaborators of Xiaochuan Tian. A scholar is included among the top collaborators of Xiaochuan Tian 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 Xiaochuan Tian. Xiaochuan Tian 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

Mengesha, Tadele, et al.. (2024). Compactness results for a Dirichlet energy of nonlocal gradient with applications. Numerical Methods for Partial Differential Equations. 40(6). 1 indexed citations

Tian, Xiaochuan, et al.. (2023). Monotone Meshfree Methods for Linear Elliptic Equations in Non-divergence Form via Nonlocal Relaxation. Journal of Scientific Computing. 96(3).

Tian, Xiaochuan, et al.. (2023). Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications. Mathematical Models and Methods in Applied Sciences. 33(12). 2507–2556. 4 indexed citations

Du, Qiang, Tadele Mengesha, & Xiaochuan Tian. (2023). $ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals. Mathematics in Engineering. 5(6). 1–31. 2 indexed citations

Leng, Yu, Xiaochuan Tian, Leszek Demkowicz, Héctor Gómez, & John T. Foster. (2022). A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. Journal of Computational Physics. 452. 110919–110919. 6 indexed citations

D’Elia, Marta, et al.. (2022). Efficient optimization-based quadrature for variational discretization of nonlocal problems. arXiv (Cornell University). 2 indexed citations

Du, Qiang, et al.. (2022). Nonlocal trace spaces and extension results for nonlocal calculus. Journal of Functional Analysis. 282(12). 109453–109453. 7 indexed citations

D’Elia, Marta, et al.. (2021). A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 4(1). 1–50. 38 indexed citations

D’Elia, Marta, Qiang Du, Christian Glusa, et al.. (2020). Numerical methods for nonlocal and fractional models. Acta Numerica. 29. 1–124. 112 indexed citations

10.

Leng, Yu, Xiaochuan Tian, Nathaniel Trask, & John T. Foster. (2020). Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation. Computer Methods in Applied Mechanics and Engineering. 370. 113264–113264. 13 indexed citations

11.

Tao, Yunzhe, Xiaochuan Tian, & Qiang Du. (2019). Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling. Multiscale Modeling and Simulation. 17(3). 1052–1075. 19 indexed citations

12.

Du, Qiang & Xiaochuan Tian. (2019). Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations. Foundations of Computational Mathematics. 20(4). 801–826. 15 indexed citations

13.

Du, Qiang, et al.. (2019). A Discontinuous Galerkin Method with Penalty for One-Dimensional Nonlocal Diffusion Problems. Communications on Applied Mathematics and Computation. 2(1). 31–55. 4 indexed citations

14.

Leng, Yu, Xiaochuan Tian, & John T. Foster. (2019). Super-convergence of reproducing kernel approximation. Computer Methods in Applied Mechanics and Engineering. 352. 488–507. 9 indexed citations

15.

Du, Qiang & Xiaochuan Tian. (2018). Mathematics of Smoothed Particle Hydrodynamics, Part I: a Nonlocal Stokes Equation. arXiv (Cornell University). 4 indexed citations

16.

Du, Qiang & Xiaochuan Tian. (2018). Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling. SIAM Journal on Applied Mathematics. 78(3). 1536–1552. 21 indexed citations

17.

Tao, Yunzhe, Xiaochuan Tian, & Qiang Du. (2017). Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. Applied Mathematics and Computation. 305. 282–298. 33 indexed citations

18.

Tian, Xiaochuan & Qiang Du. (2017). Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization. SIAM Journal on Mathematical Analysis. 49(2). 1621–1644. 22 indexed citations

19.

Tian, Xiaochuan, Qiang Du, & Max Gunzburger. (2016). Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Advances in Computational Mathematics. 42(6). 1363–1380. 22 indexed citations

20.

Tian, Xiaochuan & Qiang Du. (2014). Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models. SIAM Journal on Numerical Analysis. 52(4). 1641–1665. 137 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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