John A. Roulier

1.0k total citations
56 papers, 756 citations indexed

About

John A. Roulier is a scholar working on Computational Mechanics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, John A. Roulier has authored 56 papers receiving a total of 756 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Computational Mechanics, 19 papers in Applied Mathematics and 18 papers in Numerical Analysis. Recurrent topics in John A. Roulier's work include Advanced Numerical Analysis Techniques (23 papers), Approximation Theory and Sequence Spaces (18 papers) and Mathematical functions and polynomials (12 papers). John A. Roulier is often cited by papers focused on Advanced Numerical Analysis Techniques (23 papers), Approximation Theory and Sequence Spaces (18 papers) and Mathematical functions and polynomials (12 papers). John A. Roulier collaborates with scholars based in United States and Japan. John A. Roulier's co-authors include David F. McAllister, Eli Passow, G. D. Taylor, Thomas A. Rando, S.J. Dodd, Bruce Piper, Thomas Peters, R. Bojanić, Carlo H. Séquin and Richard S. Varga and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

John A. Roulier

53 papers receiving 596 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
John A. Roulier United States	15	472	274	146	141	125	56	756
Ahmad Abd. Majid Malaysia	15	336 0.7×	354 1.3×	79 0.5×	44 0.3×	48 0.4×	69	699
Abedallah Rababah Jordan	13	257 0.5×	116 0.4×	36 0.2×	47 0.3×	76 0.6×	44	363
Azizan Saaban Malaysia	14	210 0.4×	69 0.3×	48 0.3×	54 0.4×	159 1.3×	91	636
Hoàng Xuân Phú Vietnam	13	52 0.1×	178 0.6×	48 0.3×	136 1.0×	13 0.1×	51	493
Lucia Romani Italy	20	992 2.1×	37 0.1×	163 1.1×	32 0.2×	641 5.1×	81	1.1k
V. Maiorov Israel	12	98 0.2×	157 0.6×	2 0.0×	103 0.7×	19 0.2×	35	458
Pekka Neittaanmäki Finland	8	127 0.3×	98 0.4×	8 0.1×	15 0.1×	8 0.1×	32	340
J. J. Swetits United States	11	81 0.2×	226 0.8×	2 0.0×	153 1.1×	15 0.1×	41	458
Malik Zawwar Hussain Pakistan	14	537 1.1×	169 0.6×	205 1.4×	4 0.0×	80 0.6×	75	705
Jean-Pierre A. Haeberly United States	5	173 0.4×	391 1.4×	12 0.1×	18 0.1×	6 0.0×	6	528

Countries citing papers authored by John A. Roulier

Since Specialization

Citations

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

Fields of papers citing papers by John A. Roulier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John A. Roulier. 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 John A. Roulier. The network helps show where John A. Roulier may publish in the future.

Co-authorship network of co-authors of John A. Roulier

This figure shows the co-authorship network connecting the top 25 collaborators of John A. Roulier. A scholar is included among the top collaborators of John A. Roulier 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 John A. Roulier. John A. Roulier 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:

20 of 20 papers shown

Roulier, John A. & Bruce Piper. (1994). Interpolation with an arc length constraint. 393–400. 2 indexed citations

Roulier, John A., et al.. (1981). Continuity and strong unicity of the best approximation operator on subintervals. Journal of Approximation Theory. 32(3). 247–255. 5 indexed citations

Roulier, John A., et al.. (1980). Markov-type inequalities and the degree of convex spline interpolation. Journal of Approximation Theory. 28(3). 267–272. 6 indexed citations

Roulier, John A., et al.. (1979). A counterexample to strong unicity in monotone approximation. Journal of Approximation Theory. 27(1). 19–33. 7 indexed citations

Roulier, John A., et al.. (1978). Lipschitz and strong unicity constants for changing dimension. Journal of Approximation Theory. 22(1). 85–94. 25 indexed citations

McAllister, David F. & John A. Roulier. (1978). Interpolation by convex quadratic splines. Mathematics of Computation. 32(144). 1154–1162. 58 indexed citations

McAllister, David F., Eli Passow, & John A. Roulier. (1977). Algorithms for computing shape preserving spline interpolations to data. Mathematics of Computation. 31(139). 717–725. 67 indexed citations

Roulier, John A.. (1976). Negative theorems on monotone approximation. Proceedings of the American Mathematical Society. 55(1). 37–43. 3 indexed citations

Roulier, John A.. (1975). Some remarks on the degree of monotone approximation. Journal of Approximation Theory. 14(3). 225–229. 2 indexed citations

10.

Roulier, John A.. (1975). Nearly comonotone approximation. Proceedings of the American Mathematical Society. 47(1). 84–88. 5 indexed citations

11.

Roulier, John A., et al.. (1975). On approximation by polynomials increasing to the right of the interval. Journal of Approximation Theory. 14(4). 285–295. 2 indexed citations

12.

Bojanić, R. & John A. Roulier. (1974). Approximation of convex functions by convex splines and convexity preserving continuous linear operators. SHILAP Revista de lepidopterología. 4 indexed citations

13.

Passow, Eli, et al.. (1974). Comonotone polynomial approximation. Journal of Approximation Theory. 11(3). 221–224. 22 indexed citations

14.

Roulier, John A. & G. D. Taylor. (1974). Rational Chebyshev approximation on [0, + ∞). Journal of Approximation Theory. 11(3). 208–215. 10 indexed citations

15.

Roulier, John A., et al.. (1974). On interpolation and approximation by polynomials with monotone derivatives. Journal of Approximation Theory. 10(2). 123–130. 10 indexed citations

16.

Roulier, John A.. (1973). Polynomials of best approximation which are monotone. Journal of Approximation Theory. 9(3). 212–217. 14 indexed citations

17.

Roulier, John A.. (1972). Restrictions on the coefficients of approximating polynomials. Journal of Approximation Theory. 6(3). 276–282. 3 indexed citations

18.

Roulier, John A. & G. D. Taylor. (1972). Approximation by polynomials with restricted ranges of their derivatives. Journal of Approximation Theory. 5(3). 216–227. 12 indexed citations

19.

Roulier, John A.. (1970). Permissible bounds on the coefficients of approximating polynomials. Journal of Approximation Theory. 3(2). 117–122. 5 indexed citations

20.

Roulier, John A.. (1968). Monotone and weight approximation. University Microfilms eBooks.

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