Michel Crouzeix

3.9k total citations · 1 hit paper
63 papers, 2.7k citations indexed

About

Michel Crouzeix is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, Michel Crouzeix has authored 63 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Computational Theory and Mathematics, 21 papers in Numerical Analysis and 21 papers in Computational Mechanics. Recurrent topics in Michel Crouzeix's work include Advanced Numerical Methods in Computational Mathematics (19 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Matrix Theory and Algorithms (16 papers). Michel Crouzeix is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (19 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Matrix Theory and Algorithms (16 papers). Michel Crouzeix collaborates with scholars based in France, Greece and Sweden. Michel Crouzeix's co-authors include Pierre-Arnaud Raviart, Vidar Thomée, Georgios Akrivis, Charalambos Makridakis, Bernard Philippe, Miloud Sadkane, Jacques Rappaz, Stig Larsson, Richard S. Falk and Philip Brenner and has published in prestigious journals such as Physical Review Letters, Physical Review B and Mathematics of Computation.

In The Last Decade

Michel Crouzeix

57 papers receiving 2.3k citations

Hit Papers

align trajectories

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.

Conforming and nonconforming finite element methods for solving the stationary Stokes equations I

1973 1.0k citations Michel Crouzeix, Pierre-Arnaud Raviart Springer Link (Chiba Institute of Technology) profile →

Peers

Michel Crouzeix

CM

CTM

NA

MM

EEE

Jacques Rappaz Switzerland

Todd Dupont United States

Weizhang Huang United States

Ragnar Winther Norway

Christine Bernardi France

William Layton United States

Graeme Fairweather United States

Raytcho Lazarov United States

Harry Yserentant Germany

Vincent J. Ervin United States

Jacques Rappaz Switzerland

Michel Crouzeix

1.4k ×0.8

CM

868 ×0.8

CTM

443 ×0.5

NA

695 ×1.1

MM

327 ×0.8

EEE

Citations per year, relative to Michel Crouzeix Michel Crouzeix (= 1×) peers Jacques Rappaz

Countries citing papers authored by Michel Crouzeix

Since Specialization

Citations

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

Fields of papers citing papers by Michel Crouzeix

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michel Crouzeix

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

1.

Crouzeix, Michel, Anne Greenbaum, & Kenan Li. (2024). Numerical bounds on the Crouzeix ratio for a class of matrices. CALCOLO. 61(2). 1 indexed citations

2.

Combescot, Monique & Michel Crouzeix. (2016). From granules to bulk superconductors using Richardson-Gaudin equations. The European Physical Journal B. 89(7).

3.

Crouzeix, Michel & Monique Combescot. (2011). Energy ofNCooper Pairs by Analytically Solving the Richardson-Gaudin Equations for Conventional Superconductors. Physical Review Letters. 107(26). 267001–267001. 8 indexed citations

4.

Pogosov, W. V., Monique Combescot, & Michel Crouzeix. (2010). Two-Cooper-pair problem and the Pauli exclusion principle. Physical Review B. 81(17). 13 indexed citations

5.

Crouzeix, Michel. (2006). Numerical range and functional calculus in Hilbert space. Journal of Functional Analysis. 244(2). 668–690. 76 indexed citations

6.

Crouzeix, Michel. (2005). Une famille d’inégalités pour les ensembles convexes du plan. Annales mathématiques Blaise Pascal. 12(2). 223–230. 3 indexed citations

7.

Crouzeix, Michel. (2003). Contractivity and Analyticity in l p of Some Approximation of the Heat Equation. Numerical Algorithms. 33(1-4). 193–201. 6 indexed citations

8.

Akrivis, Georgios, Michel Crouzeix, & Charalambos Makridakis. (1998). Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Mathematics of Computation. 67(222). 457–477. 73 indexed citations

9.

Crouzeix, Michel, Stig Larsson, & Vidar Thomée. (1994). Resolvent Estimates for Elliptic Finite Element Operators in One Dimension. Mathematics of Computation. 63(207). 121–121. 26 indexed citations

10.

Crouzeix, Michel, et al.. (1993). Exercices d'analyse numérique des équations différentielles. Masson eBooks. 13 indexed citations

11.

Crouzeix, Michel & Richard S. Falk. (1989). Nonconforming Finite Elements for the Stokes Problem. Mathematics of Computation. 52(186). 437–437. 7 indexed citations

12.

Crouzeix, Michel & Richard S. Falk. (1989). Nonconforming finite elements for the Stokes problem. Mathematics of Computation. 52(186). 437–456. 50 indexed citations

13.

Crouzeix, Michel & Vidar Thomée. (1987). On the Discretization in Time of Semilinear Parabolic Equations with Nonsmooth Initial Data. Mathematics of Computation. 49(180). 359–359. 14 indexed citations

14.

Crouzeix, Michel & Vidar Thomée. (1987). On the discretization in time of semilinear parabolic equations with nonsmooth initial data. Mathematics of Computation. 49(180). 359–377. 33 indexed citations

15.

Crouzeix, Michel. (1987). On multistep approximation of semigroups in Banach spaces. Journal of Computational and Applied Mathematics. 20. 25–35. 21 indexed citations

16.

Crouzeix, Michel & Vidar Thomée. (1987). The stability in $L\sb p$ and $W\sp 1\sb p$ of the $L\sb 2$-projection onto finite element function spaces. Mathematics of Computation. 48(178). 521–521. 127 indexed citations

17.

Wendland, Wolfgang L., et al.. (1982). The penalty method applied to the instationary stokes equations. Applicable Analysis. 14(2). 137–154. 9 indexed citations

18.

Crouzeix, Michel, et al.. (1978). Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques. Springer Link (Chiba Institute of Technology). 12(3). 237–245. 77 indexed citations

19.

Crouzeix, Michel. (1974). Étude de la stabilité des méthodes de Runge-Kutta appliquées aux équations paraboliques. French digital mathematics library (Numdam). 1–6.

20.

Crouzeix, Michel & Pierre-Arnaud Raviart. (1973). Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. Springer Link (Chiba Institute of Technology). 7(R3). 33–75. 1006 indexed citations breakdown →

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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