S. M. Roberts

1.2k total citations · 1 hit paper
45 papers, 931 citations indexed

About

S. M. Roberts is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, S. M. Roberts has authored 45 papers receiving a total of 931 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Numerical Analysis, 14 papers in Computational Theory and Mathematics and 11 papers in Applied Mathematics. Recurrent topics in S. M. Roberts's work include Numerical methods for differential equations (17 papers), Differential Equations and Numerical Methods (12 papers) and Differential Equations and Boundary Problems (10 papers). S. M. Roberts is often cited by papers focused on Numerical methods for differential equations (17 papers), Differential Equations and Numerical Methods (12 papers) and Differential Equations and Boundary Problems (10 papers). S. M. Roberts collaborates with scholars based in United States. S. M. Roberts's co-authors include J. S. Shipman, L. F. Shampine, Laureano F. Escudero, William J. Ellis, Christopher Zoppou, Alan Andrew, Leon Lapidus and Robert S. Davis and has published in prestigious journals such as Technometrics, Journal of Fluid Mechanics and Management Science.

In The Last Decade

S. M. Roberts

41 papers receiving 817 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.

Two-Point Boundary Value Problems: Shooting Methods

1973 347 citations S. M. Roberts, J. S. Shipman et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
S. M. Roberts United States	15	440	192	132	112	111	45	931
J. S. Shipman United States	12	312 0.7×	168 0.9×	87 0.7×	81 0.7×	114 1.0×	25	950
V. Zakian United Kingdom	15	210 0.5×	102 0.5×	175 1.3×	38 0.3×	137 1.2×	36	1.1k
James Geer United States	18	114 0.3×	273 1.4×	71 0.5×	67 0.6×	113 1.0×	70	938
E. W. Sachs Germany	22	616 1.4×	448 2.3×	577 4.4×	64 0.6×	57 0.5×	72	1.2k
Hans Josef Pesch Germany	20	355 0.8×	235 1.2×	193 1.5×	62 0.6×	19 0.2×	62	1.1k
L. Collatz Germany	13	192 0.4×	131 0.7×	202 1.5×	109 1.0×	54 0.5×	50	581
Bülent Karasözen Türkiye	16	335 0.8×	364 1.9×	168 1.3×	67 0.6×	57 0.5×	89	871
René Pinnau Germany	17	181 0.4×	424 2.2×	124 0.9×	249 2.2×	55 0.5×	77	861
Damian Słota Poland	20	279 0.6×	140 0.7×	143 1.1×	107 1.0×	275 2.5×	133	1.2k
Raimondas Čiegis Lithuania	13	352 0.8×	145 0.8×	108 0.8×	250 2.2×	66 0.6×	123	685

Countries citing papers authored by S. M. Roberts

Since Specialization

Citations

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

Fields of papers citing papers by S. M. Roberts

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by S. M. Roberts. 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 S. M. Roberts. The network helps show where S. M. Roberts may publish in the future.

Co-authorship network of co-authors of S. M. Roberts

This figure shows the co-authorship network connecting the top 25 collaborators of S. M. Roberts. A scholar is included among the top collaborators of S. M. Roberts 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 S. M. Roberts. S. M. Roberts 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.

Zoppou, Christopher & S. M. Roberts. (1999). Discussion of "Space-Time Conservation Method Applied to Saint Venant Equations". 125(8). 891–892. 8 indexed citations

2.

Roberts, S. M., et al.. (1999). A toolset for assisted formal verification. b. 489–492.

3.

Roberts, S. M., et al.. (1987). An incidence-matrix-driven panel system for the IBM PC. IBM Systems Journal. 26(2). 201–214. 1 indexed citations

4.

Roberts, S. M.. (1986). On the solution of ?y?=y 3. Journal of Optimization Theory and Applications. 50(3). 535–541. 1 indexed citations

5.

Roberts, S. M.. (1984). Solution of ?Y?+YY??Y=0 by a nonasymptotic method. Journal of Optimization Theory and Applications. 44(2). 303–332. 13 indexed citations

6.

Roberts, S. M.. (1983). The analytical and approximate solutions of ϵy″ = yy′. Journal of Mathematical Analysis and Applications. 97(1). 245–265. 11 indexed citations

7.

Roberts, S. M. & Laureano F. Escudero. (1983). Minimum problem-size formulation for the scheduling of plant maintenance personnel. Journal of Optimization Theory and Applications. 39(3). 345–362. 12 indexed citations

8.

Roberts, S. M.. (1982). A boundary value technique for singular perturbation problems. Journal of Mathematical Analysis and Applications. 87(2). 489–508. 77 indexed citations

9.

Roberts, S. M.. (1981). A proof of the continuation and variational perturbation method. Journal of Mathematical Analysis and Applications. 83(1). 238–250. 1 indexed citations

10.

Roberts, S. M.. (1981). Continuation and the variational perturbation method. Journal of Mathematical Analysis and Applications. 80(2). 506–522. 2 indexed citations

11.

Roberts, S. M.. (1979). Direct use of the fundamental matrix in two-point boundary value problems. Journal of Mathematical Analysis and Applications. 71(1). 147–160. 1 indexed citations

12.

Roberts, S. M.. (1979). Reduction and the Kagiwada-Kalaba method of invariant imbedding. Journal of Mathematical Analysis and Applications. 72(2). 615–628. 1 indexed citations

13.

Roberts, S. M. & J. S. Shipman. (1978). A new derivation of the Scott formulation of invariant imbedding. Journal of Mathematical Analysis and Applications. 64(2). 480–487. 5 indexed citations

14.

Roberts, S. M. & J. S. Shipman. (1974). The extended continuation method and invariant imbedding. Journal of Mathematical Analysis and Applications. 45(1). 32–42. 1 indexed citations

15.

Roberts, S. M. & J. S. Shipman. (1973). The epsilon variation method in two-point boundary-value problems. Journal of Optimization Theory and Applications. 12(2). 136–151. 6 indexed citations

16.

Roberts, S. M. & J. S. Shipman. (1972). Solution of Troesch's two-point boundary value problem by a combination of techniques. Journal of Computational Physics. 10(2). 232–241. 42 indexed citations

17.

Roberts, S. M. & J. S. Shipman. (1968). Justification for the continuation method in two-point boundary value problems. Journal of Mathematical Analysis and Applications. 21(1). 23–30. 14 indexed citations

18.

Roberts, S. M. & J. S. Shipman. (1967). Continuation in shooting methods for two-point boundary value problems. Journal of Mathematical Analysis and Applications. 18(1). 45–58. 59 indexed citations

19.

Roberts, S. M., et al.. (1966). Systematic generation of Hamiltonian circuits. Communications of the ACM. 9(9). 690–694. 14 indexed citations

20.

Roberts, S. M.. (1964). Terminal and Averaging Control of Pyrolysis in a Tubular Reactor. Industrial & Engineering Chemistry Process Design and Development. 3(1). 14–18. 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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