Chein‐Shan Liu

8.1k total citations
436 papers, 7.1k citations indexed

About

Chein‐Shan Liu is a scholar working on Mechanics of Materials, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Chein‐Shan Liu has authored 436 papers receiving a total of 7.1k indexed citations (citations by other indexed papers that have themselves been cited), including 206 papers in Mechanics of Materials, 149 papers in Mathematical Physics and 137 papers in Numerical Analysis. Recurrent topics in Chein‐Shan Liu's work include Numerical methods in engineering (143 papers), Numerical methods in inverse problems (142 papers) and Fractional Differential Equations Solutions (67 papers). Chein‐Shan Liu is often cited by papers focused on Numerical methods in engineering (143 papers), Numerical methods in inverse problems (142 papers) and Fractional Differential Equations Solutions (67 papers). Chein‐Shan Liu collaborates with scholars based in Taiwan, China and United States. Chein‐Shan Liu's co-authors include Chih‐Wen Chang, Dennis Y.C. Leung, Jiang‐Ren Chang, Hong‐Ki Hong, Xian‐Xiang Li, Satya N. Atluri, Chung-Lun Kuo, Renbi Bai, K. M. Lam and Fajie Wang and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Journal of Membrane Science.

In The Last Decade

Chein‐Shan Liu

415 papers receiving 6.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Chein‐Shan Liu Taiwan 38 3.2k 2.2k 1.5k 1.2k 1.0k 436 7.1k
D. Lesnic United Kingdom 38 3.6k 1.1× 4.1k 1.9× 565 0.4× 1.2k 1.0× 649 0.6× 314 6.1k
Müslüm Özişik United States 43 1.9k 0.6× 1.8k 0.8× 331 0.2× 2.8k 2.3× 463 0.4× 294 8.1k
Alberto Valli Italy 19 1.3k 0.4× 609 0.3× 1.0k 0.7× 3.2k 2.6× 325 0.3× 59 5.1k
Satya N. Atluri United States 56 11.6k 3.7× 506 0.2× 668 0.4× 3.9k 3.1× 455 0.4× 426 14.3k
E.J. Kansa United States 27 4.9k 1.5× 272 0.1× 826 0.5× 2.7k 2.2× 941 0.9× 65 6.0k
L.C. Wrobel United Kingdom 36 4.5k 1.4× 428 0.2× 346 0.2× 2.5k 2.0× 147 0.1× 239 10.1k
Fawang Liu China 55 2.6k 0.8× 333 0.2× 6.1k 4.1× 817 0.7× 8.3k 8.0× 306 10.6k
Alberto Carpinteri Italy 58 8.2k 2.6× 215 0.1× 767 0.5× 442 0.4× 1.7k 1.7× 545 14.3k
Yan Gu China 41 3.3k 1.0× 366 0.2× 317 0.2× 1.0k 0.8× 291 0.3× 287 5.6k
Marín Marín Romania 57 4.4k 1.4× 556 0.3× 178 0.1× 1.1k 0.9× 501 0.5× 289 7.3k

Countries citing papers authored by Chein‐Shan Liu

Since Specialization
Citations

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

Fields of papers citing papers by Chein‐Shan Liu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Chein‐Shan Liu. 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 Chein‐Shan Liu. The network helps show where Chein‐Shan Liu may publish in the future.

Co-authorship network of co-authors of Chein‐Shan Liu

This figure shows the co-authorship network connecting the top 25 collaborators of Chein‐Shan Liu. A scholar is included among the top collaborators of Chein‐Shan Liu 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 Chein‐Shan Liu. Chein‐Shan Liu is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Liu, Chein‐Shan, Satya N. Atluri, & Honghua Dai. (2023). Fictitious time integration method for seeking periodic orbits of nonlinear dynamical systems. International Journal of Non-Linear Mechanics. 152. 104388–104388.
2.
Liu, Chein‐Shan, Essam R. El‐Zahar, & Chih‐Wen Chang. (2023). A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes. Mathematics. 11(21). 4529–4529. 2 indexed citations
3.
Liu, Chein‐Shan. (2023). The meshless solutions of Laplacian non-harmonic and Cauchy problems by developing novel hybrid methods. Engineering Analysis with Boundary Elements. 157. 34–43. 1 indexed citations
4.
Liu, Chein‐Shan, et al.. (2023). Precise eigenvalues in the solutions of generalized Sturm–Liouville problems. Mathematics and Computers in Simulation. 217. 354–373. 1 indexed citations
5.
Liu, Chein‐Shan. (2022). Accurate Eigenvalues for the Sturm-Liouville Problems, Involving Generalized and Periodic Ones. Journal of Mathematics Research. 14(4). 1–1. 1 indexed citations
6.
Liu, Chein‐Shan. (2021). Linearized Homotopy Perturbation Method for Two Nonlinear Problems of Duffing Equations. Journal of Mathematics Research. 13(6). 10–10. 7 indexed citations
7.
Liu, Chein‐Shan, Zhuojia Fu, & Chung-Lun Kuo. (2017). Directional Method of Fundamental Solutions for Three-dimensional Laplace Equation. Journal of Mathematics Research. 9(6). 112–112. 2 indexed citations
8.
Liu, Chein‐Shan & D.L. Young. (2016). A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy–Stokes problems. Journal of Computational Physics. 312. 1–13. 29 indexed citations
9.
Liu, Chein‐Shan. (2015). The Integrating Factors for Riccati and Abel Differential Equations. Journal of Mathematics Research. 7(2). 125–125.
10.
Liu, Chein‐Shan. (2013). Discussing a More Fundamental Concept Than the Minimal Residual Method to Solve Linear System in a Krylov Subspace. Journal of Mathematics Research. 5(4). 9 indexed citations
11.
Liu, Chein‐Shan. (2012). The Optimal Control Problem of Nonlinear Duffing Oscillator Solved by the Lie-Group Adaptive Method. Computer Modeling in Engineering & Sciences. 86(3). 171–198. 3 indexed citations
12.
Liu, Chein‐Shan & Chung-Lun Kuo. (2011). A Dynamical Tikhonov Regularization Method for Solving Nonlinear Ill-Posed Problems. Computer Modeling in Engineering & Sciences. 76(2). 109–132. 8 indexed citations
13.
Liu, Chein‐Shan & Satya N. Atluri. (2011). An Iterative Method Using an Optimal Descent Vector, for Solving an Ill-Conditioned System B x = b , Better and Faster than the Conjugate Gradient Method. Computer Modeling in Engineering & Sciences. 80(4). 275–298. 19 indexed citations
14.
Liu, Chein‐Shan, Weichung Yeih, & Satya N. Atluri. (2010). An Enhanced Fictitious Time Integration Method for Non-Linear Algebraic Equations With Multiple Solutions: Boundary Layer, Boundary Value and Eigenvalue Problems. Computer Modeling in Engineering & Sciences. 59(3). 301–324. 8 indexed citations
15.
Chang, Chih‐Wen & Chein‐Shan Liu. (2009). A Fictitious Time Integration Method for Backward Advection-Dispersion Equation. Computer Modeling in Engineering & Sciences. 51(3). 261–276. 10 indexed citations
16.
Liu, Chein‐Shan. (2008). A Lie-Group Shooting Method for Computing Eigenvalues and Eigenfunctions of Sturm-Liouville Problems. Computer Modeling in Engineering & Sciences. 26(3). 157–168. 14 indexed citations
17.
Liu, Chein‐Shan. (2008). A Fictitious Time Integration Method for Two-Dimensional Quasilinear Elliptic Boundary Value Problems. Computer Modeling in Engineering & Sciences. 33(2). 179–198. 29 indexed citations
18.
Liu, Chein‐Shan. (2007). New Integrating Methods for Time-Varying Linear Systems and Lie-Group Computations. Computer Modeling in Engineering & Sciences. 20(3). 157–176. 8 indexed citations
19.
Liu, Chein‐Shan, et al.. (2006). Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction Problems. Computer Modeling in Engineering & Sciences. 12(1). 67–82. 57 indexed citations
20.
Liu, Chein‐Shan. (2005). Computational Applications of the Poincar\'{e} Group on the Elastoplasticity with Kinematic Hardening. Computer Modeling in Engineering & Sciences. 8(3). 231–258. 5 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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