Michel Roche

874 total citations · 1 hit paper
5 papers, 623 citations indexed

About

Michel Roche is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Finance. According to data from OpenAlex, Michel Roche has authored 5 papers receiving a total of 623 indexed citations (citations by other indexed papers that have themselves been cited), including 3 papers in Numerical Analysis, 2 papers in Computational Theory and Mathematics and 1 paper in Finance. Recurrent topics in Michel Roche's work include Numerical methods for differential equations (3 papers), Matrix Theory and Algorithms (2 papers) and Differential Equations and Numerical Methods (2 papers). Michel Roche is often cited by papers focused on Numerical methods for differential equations (3 papers), Matrix Theory and Algorithms (2 papers) and Differential Equations and Numerical Methods (2 papers). Michel Roche collaborates with scholars based in Switzerland and Austria. Michel Roche's co-authors include Ernst Hairer, Christian Lubich and Alain Haurie and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Lecture notes in mathematics and Numerische Mathematik.

In The Last Decade

Michel Roche

4 papers receiving 533 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.

The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods

1989 526 citations Ernst Hairer, Michel Roche et al. Lecture notes in mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michel Roche Switzerland	4	406	248	180	155	129	5	623
J. Morris United Kingdom	7	178 0.4×	69 0.3×	101 0.6×	81 0.5×	108 0.8×	16	502
Raimondas Čiegis Lithuania	13	352 0.9×	108 0.4×	145 0.8×	26 0.2×	111 0.9×	123	685
Vladislav N. Kovalnogov Russia	13	332 0.8×	93 0.4×	207 1.1×	44 0.3×	133 1.0×	65	522
Zhonghai Ding United States	11	66 0.2×	210 0.8×	94 0.5×	97 0.6×	122 0.9×	26	583
J. F. B. M. Kraaijevanger Netherlands	13	329 0.8×	159 0.6×	290 1.6×	74 0.5×	38 0.3×	19	657
Ruslan V. Fedorov Russia	11	296 0.7×	87 0.4×	191 1.1×	42 0.3×	118 0.9×	50	446
Ioannis Th. Famelis Greece	13	556 1.4×	191 0.8×	178 1.0×	35 0.2×	279 2.2×	50	771
Abdul Rahman Abdullah Malaysia	11	421 1.0×	206 0.8×	238 1.3×	23 0.1×	85 0.7×	32	637
B.B. King United States	13	145 0.4×	165 0.7×	287 1.6×	291 1.9×	20 0.2×	31	711
M. El-Gebeily Saudi Arabia	13	133 0.3×	107 0.4×	70 0.4×	90 0.6×	52 0.4×	51	845

Countries citing papers authored by Michel Roche

Since Specialization

Citations

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

Fields of papers citing papers by Michel Roche

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michel Roche

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

All Works

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5 of 5 papers shown

1.

Haurie, Alain & Michel Roche. (1994). Turnpikes and computation of piecewise open-loop equilibria in stochastic differential games. Journal of Economic Dynamics and Control. 18(2). 317–344. 10 indexed citations

2.

Hairer, Ernst, Michel Roche, & Christian Lubich. (1989). The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods. Lecture notes in mathematics. 526 indexed citations breakdown →

3.

Roche, Michel. (1989). Implicit Runge–Kutta Methods for Differential Algebraic Equations. SIAM Journal on Numerical Analysis. 26(4). 963–975. 27 indexed citations

4.

Roche, Michel. (1987). Rosenbrock methods for Differential Algebraic Equations. Numerische Mathematik. 52(1). 45–63. 60 indexed citations

5.

Roche, Michel. (1978). Protection contre la corrosion des ouvrages maritimes pétroliers. Medical Entomology and Zoology.

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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