Roger Alexander

910 total citations · 1 hit paper
14 papers, 676 citations indexed

About

Roger Alexander is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Roger Alexander has authored 14 papers receiving a total of 676 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Numerical Analysis, 5 papers in Computational Theory and Mathematics and 4 papers in Applied Mathematics. Recurrent topics in Roger Alexander's work include Numerical methods for differential equations (7 papers), Nonlinear Partial Differential Equations (3 papers) and Electromagnetic Simulation and Numerical Methods (3 papers). Roger Alexander is often cited by papers focused on Numerical methods for differential equations (7 papers), Nonlinear Partial Differential Equations (3 papers) and Electromagnetic Simulation and Numerical Methods (3 papers). Roger Alexander collaborates with scholars based in United States. Roger Alexander's co-authors include James J. Coyle, J. Woods, Paul H. Rabinowitz and Donald S. Cohen and has published in prestigious journals such as Mathematics of Computation, Communications in Mathematical Physics and SIAM Journal on Numerical Analysis.

In The Last Decade

Roger Alexander

13 papers receiving 601 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.

Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s

1977 491 citations Roger Alexander SIAM Journal on Numerical Analysis profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Roger Alexander United States	8	352	347	160	134	82	14	676
Rolf Jeltsch Germany	16	474 1.3×	437 1.3×	92 0.6×	193 1.4×	52 0.6×	62	683
Kjell Gustafsson Sweden	7	268 0.8×	316 0.9×	93 0.6×	117 0.9×	71 0.9×	16	513
Christopher A. Kennedy United States	8	672 1.9×	416 1.2×	126 0.8×	65 0.5×	109 1.3×	9	917
Laurent O. Jay United States	17	252 0.7×	533 1.5×	106 0.7×	245 1.8×	103 1.3×	36	783
M. N. Spijker Netherlands	19	644 1.8×	906 2.6×	121 0.8×	404 3.0×	84 1.0×	53	1.1k
Gerard R. Richter United States	14	437 1.2×	206 0.6×	272 1.7×	194 1.4×	29 0.4×	27	880
René Pinnau Germany	17	424 1.2×	181 0.5×	98 0.6×	124 0.9×	99 1.2×	77	861
Andrew B. White United States	13	548 1.6×	335 1.0×	98 0.6×	131 1.0×	22 0.3×	28	906
Yuhe Ren United Kingdom	6	351 1.0×	268 0.8×	35 0.2×	88 0.7×	44 0.5×	8	594
Manfred R. Trummer Canada	11	165 0.5×	243 0.7×	53 0.3×	145 1.1×	80 1.0×	38	584

Countries citing papers authored by Roger Alexander

Since Specialization

Citations

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

Fields of papers citing papers by Roger Alexander

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Roger Alexander

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

All Works

Sort: Min cites: Since: Top N: Style:

14 of 14 papers shown

1.

Alexander, Roger. (2003). Index-doubling in sequences by Aitken extrapolation. Mathematics of Computation. 72(244). 1947–1962.

2.

Alexander, Roger. (2003). Design and implementation of DIRK integrators for stiff systems. Applied Numerical Mathematics. 46(1). 1–17. 28 indexed citations

3.

Alexander, Roger. (1994). Stability of Runge–Kutta Methods for Stiff Ordinary Differential Equations. SIAM Journal on Numerical Analysis. 31(4). 1147–1168. 12 indexed citations

4.

Alexander, Roger. (1991). The modified Newton method in the solution of stiff ordinary differential equations. Mathematics of Computation. 57(196). 673–701. 13 indexed citations

5.

Alexander, Roger. (1990). Solving Ordinary Differential Equations I: Nonstiff Problems (E. Hairer, S. P. Norsett, and G. Wanner). SIAM Review. 32(3). 485–486. 36 indexed citations

6.

Alexander, Roger. (1990). Spatially Oscillatory Steady States of Tubular Chemical Reactors. SIAM Journal on Mathematical Analysis. 21(1). 137–153. 3 indexed citations

7.

Alexander, Roger & James J. Coyle. (1990). Runge–Kutta Methods and Differential-Algebraic Systems. SIAM Journal on Numerical Analysis. 27(3). 736–752. 30 indexed citations

8.

Cohen, Donald S. & Roger Alexander. (1986). Chemical reactor theory and problems in diffusion. Physica D Nonlinear Phenomena. 20(1). 122–141. 6 indexed citations

9.

Alexander, Roger. (1984). The multiple steady states of the nonadiabatic tubular reactor. Journal of Mathematical Analysis and Applications. 101(1). 12–22. 2 indexed citations

10.

Alexander, Roger, et al.. (1982). Perturbation and bifurcation in a free boundary problem. Journal of Differential Equations. 45(1). 34–52. 7 indexed citations

11.

Alexander, Roger & J. Woods. (1982). 2-D digital filter stability in the presence of second kind nonessential singularities. IEEE Transactions on Circuits and Systems. 29(9). 604–612. 17 indexed citations

12.

Alexander, Roger & Paul H. Rabinowitz. (1982). A discontinuous nonlinear eigenvalue/Free boundary problem. Mathematical Methods in the Applied Sciences. 4(1). 131–142. 7 indexed citations

13.

Alexander, Roger. (1977). Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s. SIAM Journal on Numerical Analysis. 14(6). 1006–1021. 491 indexed citations breakdown →

14.

Alexander, Roger. (1976). Time evolution for infinitely many hard spheres. Communications in Mathematical Physics. 49(3). 217–232. 24 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.

Explore authors with similar magnitude of impact