Tzon‐Tzer Lu

1.3k total citations
36 papers, 986 citations indexed

About

Tzon‐Tzer Lu is a scholar working on Numerical Analysis, Mechanics of Materials and Modeling and Simulation. According to data from OpenAlex, Tzon‐Tzer Lu has authored 36 papers receiving a total of 986 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Numerical Analysis, 12 papers in Mechanics of Materials and 10 papers in Modeling and Simulation. Recurrent topics in Tzon‐Tzer Lu's work include Numerical methods in engineering (11 papers), Fractional Differential Equations Solutions (10 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). Tzon‐Tzer Lu is often cited by papers focused on Numerical methods in engineering (11 papers), Fractional Differential Equations Solutions (10 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). Tzon‐Tzer Lu collaborates with scholars based in Taiwan, China and United States. Tzon‐Tzer Lu's co-authors include Alexander H.‐D. Cheng, Hsin‐Yun Hu, Xue‐Cheng Tai, Zi‐Cai Li, Zhenyang Li, Pekka Neittaanmäki, Hung‐Tsai Huang, Yimin Wei, Dia Zeidan and P. Neittaanmäki and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Computers & Mathematics with Applications.

In The Last Decade

Tzon‐Tzer Lu

33 papers receiving 938 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Tzon‐Tzer Lu Taiwan 14 385 323 228 185 154 36 986
Zi‐Cai Li Taiwan 19 954 2.5× 724 2.2× 309 1.4× 230 1.2× 249 1.6× 125 1.4k
Frank de Hoog Australia 20 105 0.3× 217 0.7× 281 1.2× 153 0.8× 114 0.7× 56 964
Roberto Cavoretto Italy 21 579 1.5× 506 1.6× 169 0.7× 52 0.3× 68 0.4× 82 1.1k
Marco Vianello Italy 18 252 0.7× 498 1.5× 374 1.6× 364 2.0× 181 1.2× 110 1.2k
P. M. Prenter United States 11 241 0.6× 284 0.9× 331 1.5× 125 0.7× 77 0.5× 25 1.1k
W. R. Madych United States 14 651 1.7× 554 1.7× 205 0.9× 129 0.7× 80 0.5× 57 1.4k
Alvise Sommariva Italy 16 254 0.7× 441 1.4× 202 0.9× 201 1.1× 144 0.9× 71 846
Rodrigo B. Platte United States 13 203 0.5× 242 0.7× 101 0.4× 89 0.5× 79 0.5× 30 545
Daniele Funaro Italy 16 347 0.9× 629 1.9× 648 2.8× 236 1.3× 184 1.2× 61 1.5k
Qianshun Chang China 21 114 0.3× 358 1.1× 623 2.7× 155 0.8× 149 1.0× 62 1.4k

Countries citing papers authored by Tzon‐Tzer Lu

Since Specialization
Citations

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

Fields of papers citing papers by Tzon‐Tzer Lu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Tzon‐Tzer Lu. 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 Tzon‐Tzer Lu. The network helps show where Tzon‐Tzer Lu may publish in the future.

Co-authorship network of co-authors of Tzon‐Tzer Lu

This figure shows the co-authorship network connecting the top 25 collaborators of Tzon‐Tzer Lu. A scholar is included among the top collaborators of Tzon‐Tzer Lu 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 Tzon‐Tzer Lu. Tzon‐Tzer Lu 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.
Zeidan, Dia, et al.. (2019). On the characteristic Adomian decomposition method for the Riemann problem. Mathematical Methods in the Applied Sciences. 44(10). 8097–8112. 30 indexed citations
2.
Zeng, Yingying, Pingping Zhang, Tzon‐Tzer Lu, & Weinian Zhang. (2017). Existence of solutions for a mixed type differential equation with state-dependence. Journal of Mathematical Analysis and Applications. 453(1). 629–644. 7 indexed citations
3.
Zhang, Naimin, Tzon‐Tzer Lu, & Yimin Wei. (2013). Semi-convergence analysis of Uzawa methods for singular saddle point problems. Journal of Computational and Applied Mathematics. 255. 334–345. 59 indexed citations
4.
Li, Fang, et al.. (2012). A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations. SHILAP Revista de lepidopterología. 2012(1). 7 indexed citations
5.
Lu, Tzon‐Tzer, et al.. (2009). Error Analysis of Trefftz Methods for Laplace's Equations and Its Applications. Computer Modeling in Engineering & Sciences. 52(1). 39–82. 4 indexed citations
6.
Lin, Lijing, Tzon‐Tzer Lu, & Yimin Wei. (2007). On level-2 condition number for the weighted Moore–Penrose inverse. Computers & Mathematics with Applications. 55(4). 788–800. 9 indexed citations
7.
Lu, Tzon‐Tzer & Zhenyang Li. (2005). The cracked-beam problem solved by the boundary approximation method. Applied Mathematics Letters. 18(1). 11–16. 3 indexed citations
8.
Lu, Tzon‐Tzer, et al.. (2004). Highly accurate solutions of Motz's and the cracked beam problems. Engineering Analysis with Boundary Elements. 28(11). 1387–1403. 38 indexed citations
9.
Li, Zi‐Cai, Tzon‐Tzer Lu, Hsin‐Yun Hu, & Alexander H.‐D. Cheng. (2004). Particular solutions of Laplace's equations on polygons and new models involving mild singularities. Engineering Analysis with Boundary Elements. 29(1). 59–75. 18 indexed citations
10.
Li, Zi‐Cai, Tzon‐Tzer Lu, & Hsin‐Yun Hu. (2003). The collocation Trefftz method for biharmonic equations with crack singularities. Engineering Analysis with Boundary Elements. 28(1). 79–96. 17 indexed citations
11.
Lu, Tzon‐Tzer, et al.. (2002). Inverses of 2 × 2 block matrices. Computers & Mathematics with Applications. 43(1-2). 119–129. 205 indexed citations
12.
Li, Zhenyang & Tzon‐Tzer Lu. (2000). Singularities and treatments of elliptic boundary value problems. Mathematical and Computer Modelling. 31(8-9). 97–145. 69 indexed citations
13.
Lu, Tzon‐Tzer & Sui Sun Cheng. (1996). Form preserving linear integral operators. Computers & Mathematics with Applications. 31(8). 117–134. 1 indexed citations
14.
Lu, Tzon‐Tzer & Sui Sun Cheng. (1995). A necessary condition for the minimum of a quadratic form under rearrangements. Applied Mathematics Letters. 8(6). 95–98. 1 indexed citations
15.
Cheng, Sui Sun & Tzon‐Tzer Lu. (1995). An inequality for an integral quadratic form. Applied Mathematics Letters. 8(2). 81–84. 1 indexed citations
16.
Lu, Tzon‐Tzer, P. Neittaanmäki, & Xue‐Cheng Tai. (1992). A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations. ESAIM Mathematical Modelling and Numerical Analysis. 26(6). 673–708. 62 indexed citations
17.
Lu, Tzon‐Tzer, Pekka Neittaanmäki, & Xue‐Cheng Tai. (1991). A parallel splitting up method and its application to Navier-Stokes equations. Applied Mathematics Letters. 4(2). 25–29. 86 indexed citations
18.
Lu, Tzon‐Tzer, et al.. (1987). Regular and singular orthants of tridiagonal matrices. Linear Algebra and its Applications. 94. 181–191.
19.
Lu, Tzon‐Tzer, et al.. (1986). Convex regular domains of tridiagonal matrices. Linear Algebra and its Applications. 79. 103–125. 2 indexed citations
20.
Lu, Tzon‐Tzer, et al.. (1985). The Bisection Algorithm is Not Linearly Convergent. College Mathematics Journal. 16(1). 56–57. 1 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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