Melvin Leok

4.0k total citations · 1 hit paper
75 papers, 2.3k citations indexed

About

Melvin Leok is a scholar working on Numerical Analysis, Control and Systems Engineering and Computational Mechanics. According to data from OpenAlex, Melvin Leok has authored 75 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Numerical Analysis, 41 papers in Control and Systems Engineering and 28 papers in Computational Mechanics. Recurrent topics in Melvin Leok's work include Numerical methods for differential equations (48 papers), Advanced Numerical Methods in Computational Mathematics (21 papers) and Control and Stability of Dynamical Systems (20 papers). Melvin Leok is often cited by papers focused on Numerical methods for differential equations (48 papers), Advanced Numerical Methods in Computational Mathematics (21 papers) and Control and Stability of Dynamical Systems (20 papers). Melvin Leok collaborates with scholars based in United States, China and Japan. Melvin Leok's co-authors include N. Harris McClamroch, Taeyoung Lee, Amit K. Sanyal, Tomoki Ohsawa, Jingjing Zhang, Anthony M. Bloch, Jerrold E. Marsden, Joris Vankerschaver, Dmitry V. Zenkov and Nalin A. Chaturvedi and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and International Journal for Numerical Methods in Engineering.

In The Last Decade

Melvin Leok

70 papers receiving 2.3k citations

Hit Papers

Geometric tracking control of a quadrotor UAV on SE(3) 2010 2026 2015 2020 2010 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Geometric tracking control of a quadrotor UAV on SE(3)
    2010 896 citations Taeyoung Lee, Melvin Leok et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Melvin Leok United States 21 1.4k 883 553 491 306 75 2.3k
I. Michael Ross United States 34 1.2k 0.8× 3.4k 3.8× 672 1.2× 492 1.0× 219 0.7× 140 4.3k
Qi Gong United States 24 627 0.5× 1.1k 1.3× 208 0.4× 190 0.4× 105 0.3× 89 1.9k
Wei Kang United States 24 1.1k 0.8× 726 0.8× 176 0.3× 137 0.3× 117 0.4× 115 2.2k
Fariba Fahroo United States 20 615 0.5× 1.6k 1.8× 312 0.6× 313 0.6× 139 0.5× 47 2.2k
Behçet Açıkmeşe United States 29 991 0.7× 2.5k 2.8× 685 1.2× 244 0.5× 83 0.3× 153 3.6k
Ping Lu United States 39 1.2k 0.9× 4.8k 5.4× 918 1.7× 174 0.4× 229 0.7× 182 5.6k
J.R. Cloutier United States 24 1.7k 1.3× 1.1k 1.3× 115 0.2× 128 0.3× 133 0.4× 90 2.5k
Amit K. Sanyal United States 23 1.8k 1.3× 1.5k 1.7× 174 0.3× 80 0.2× 110 0.4× 142 2.6k
P.E. Crouch United States 22 979 0.7× 304 0.3× 176 0.3× 289 0.6× 432 1.4× 116 2.0k
Marco Lovera Italy 30 2.1k 1.5× 1.6k 1.8× 197 0.4× 41 0.1× 219 0.7× 225 3.3k

Countries citing papers authored by Melvin Leok

Since Specialization
Citations

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

Fields of papers citing papers by Melvin Leok

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Melvin Leok

This figure shows the co-authorship network connecting the top 25 collaborators of Melvin Leok. A scholar is included among the top collaborators of Melvin Leok 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 Melvin Leok. Melvin Leok 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.
Burby, J. W., Eero Hirvijoki, & Melvin Leok. (2023). Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems. Journal of Nonlinear Science. 33(2). 38–38. 4 indexed citations
2.
Leok, Melvin, et al.. (2023). Time-adaptive Lagrangian variational integrators for accelerated optimization. The Journal of Geometric Mechanics. 15(1). 224–255. 4 indexed citations
3.
Leok, Melvin, et al.. (2023). Geometric Methods for Adjoint Systems. Journal of Nonlinear Science. 34(1). 3 indexed citations
4.
Leok, Melvin, et al.. (2023). Practical perspectives on symplectic accelerated optimization. Optimization methods & software. 38(6). 1230–1268. 2 indexed citations
5.
Leok, Melvin, et al.. (2022). Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators. Journal of Nonlinear Science. 32(4). 42–42. 3 indexed citations
6.
7.
Leok, Melvin, et al.. (2022). A Variational Formulation of Accelerated Optimization on Riemannian Manifolds. SIAM Journal on Mathematics of Data Science. 4(2). 649–674. 6 indexed citations
8.
Leok, Melvin, et al.. (2021). Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization. SIAM Journal on Scientific Computing. 43(4). A2949–A2980. 11 indexed citations
9.
Leok, Melvin, et al.. (2017). Variational Integrators for Interconnected Lagrange–Dirac Systems. Journal of Nonlinear Science. 27(5). 1399–1434. 3 indexed citations
10.
Li, Yiqun, Boying Wu, & Melvin Leok. (2017). Spectral variational integrators for semi-discrete Hamiltonian wave equations. Journal of Computational and Applied Mathematics. 325. 56–73. 6 indexed citations
11.
Lee, Taeyoung, Melvin Leok, & Harris McClamroch. (2016). Geometric formulations of Furuta pendulum control problems. Journal | MESA. 7(1). 69–81. 1 indexed citations
12.
Vankerschaver, Joris & Melvin Leok. (2013). A Novel Formulation of Point Vortex Dynamics on the Sphere: Geometrical and Numerical Aspects. Journal of Nonlinear Science. 24(1). 1–37. 15 indexed citations
13.
Vankerschaver, Joris, Hiroaki Yoshimura, & Melvin Leok. (2011). On the geometry of multi-Dirac structures and Gerstenhaber algebras. Journal of Geometry and Physics. 61(8). 1415–1425. 8 indexed citations
14.
Lee, Taeyoung, Melvin Leok, & N. Harris McClamroch. (2011). Stable manifolds of saddle equilibria for pendulum dynamics on S<sup>2</sup> and SO(3). 3915–3921. 15 indexed citations
15.
Ohsawa, Tomoki, Anthony M. Bloch, & Melvin Leok. (2011). Discrete Hamilton–Jacobi Theory. SIAM Journal on Control and Optimization. 49(4). 1829–1856. 20 indexed citations
16.
Lee, Taeyoung, Melvin Leok, & N. Harris McClamroch. (2010). Geometric Tracking Control of a Quadrotor UAV on SE(3). arXiv (Cornell University). 3 indexed citations
17.
Lee, Taeyoung, Melvin Leok, & N. Harris McClamroch. (2010). Geometric tracking control of a quadrotor UAV on SE(3). 5420–5425. 896 indexed citations breakdown →
18.
Leok, Melvin & Tomoki Ohsawa. (2008). Discrete Dirac Structures and Variational Discrete Dirac Mechanics. International Journal of Radiation Biology and Related Studies in Physics Chemistry and Medicine. 51(4). 641–54. 3 indexed citations
19.
Lee, Taeyoung, Melvin Leok, & N. Harris McClamroch. (2008). Global symplectic uncertainty propagation on SO(3). 97. 61–66. 14 indexed citations
20.
Lee, Taeyoung, Melvin Leok, N. Harris McClamroch, & Amit K. Sanyal. (2007). Global Attitude Estimation using Single Direction Measurements. Proceedings of the ... American Control Conference. 3659–3664. 19 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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