T. J. Rivlin

8.2k total citations · 3 hit papers
71 papers, 5.3k citations indexed

About

T. J. Rivlin is a scholar working on Applied Mathematics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, T. J. Rivlin has authored 71 papers receiving a total of 5.3k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Applied Mathematics, 26 papers in Numerical Analysis and 14 papers in Computational Theory and Mathematics. Recurrent topics in T. J. Rivlin's work include Mathematical functions and polynomials (29 papers), Iterative Methods for Nonlinear Equations (14 papers) and Mathematical Approximation and Integration (11 papers). T. J. Rivlin is often cited by papers focused on Mathematical functions and polynomials (29 papers), Iterative Methods for Nonlinear Equations (14 papers) and Mathematical Approximation and Integration (11 papers). T. J. Rivlin collaborates with scholars based in United States, Bulgaria and Germany. T. J. Rivlin's co-authors include E. W. Cheney, Joseph W. Jerome, Charles A. Micchelli, Eli Passow, H. L. Garabedian, H. S. Shapiro, N. C. Ankeny, Donald J. Newman, Roy L. Adler and Don Coppersmith and has published in prestigious journals such as Technometrics, Mathematics of Computation and Combustion and Flame.

In The Last Decade

T. J. Rivlin

63 papers receiving 4.4k citations

Hit Papers

The Chebyshev polynomials 1969 2026 1988 2007 1974 1969 1970 400 800 1.2k
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.

  1. The Chebyshev polynomials
    1974 1.5k citations T. J. Rivlin profile →
  2. Introduction to Approximation Theory
    1969 1.4k citations T. J. Rivlin, E. W. Cheney Mathematics of Computation profile →
  3. An Introduction to the Approximation of Functions
    1970 498 citations T. J. Rivlin et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
T. J. Rivlin United States 23 1.7k 1.6k 1.4k 870 607 71 5.3k
Walter Gautschi United States 34 2.6k 1.5× 2.0k 1.3× 1.7k 1.2× 720 0.8× 228 0.4× 214 6.4k
Peter Henrici United States 27 1.2k 0.7× 2.4k 1.5× 2.2k 1.6× 1.2k 1.4× 150 0.2× 80 6.4k
Edward B. Saff United States 31 2.4k 1.4× 1.3k 0.8× 817 0.6× 362 0.4× 518 0.9× 184 4.6k
E. W. Cheney United States 22 854 0.5× 1.0k 0.6× 985 0.7× 589 0.7× 596 1.0× 60 3.1k
Richard S. Varga United States 32 1.3k 0.8× 3.6k 2.3× 4.7k 3.3× 2.1k 2.5× 239 0.4× 115 9.2k
Gábor Szegő United States 22 3.0k 1.8× 686 0.4× 2.1k 1.5× 590 0.7× 688 1.1× 39 7.5k
Richard Askey United States 36 4.2k 2.5× 946 0.6× 1.1k 0.8× 230 0.3× 541 0.9× 154 6.9k
G. A. Garreau United Kingdom 2 2.3k 1.3× 424 0.3× 1.1k 0.8× 394 0.5× 529 0.9× 5 5.9k
Charles A. Micchelli United States 48 1.6k 0.9× 1.2k 0.8× 1.7k 1.2× 3.7k 4.2× 436 0.7× 214 8.6k
Peter Lancaster Canada 36 1.1k 0.6× 2.2k 1.4× 3.8k 2.7× 1.5k 1.8× 162 0.3× 184 10.3k

Countries citing papers authored by T. J. Rivlin

Since Specialization
Citations

This map shows the geographic impact of T. J. Rivlin'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 T. J. Rivlin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites T. J. Rivlin more than expected).

Fields of papers citing papers by T. J. Rivlin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by T. J. Rivlin. 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 T. J. Rivlin. The network helps show where T. J. Rivlin may publish in the future.

Co-authorship network of co-authors of T. J. Rivlin

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

All Works

20 of 20 papers shown
1.
Saff, Edward B., et al.. (2000). Joseph L. Walsh : selected papers. Springer eBooks. 6 indexed citations
2.
Passow, Eli & T. J. Rivlin. (1992). Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory.. Mathematics of Computation. 58(198). 859–859. 251 indexed citations
3.
Gautschi, Walter & T. J. Rivlin. (1988). A Family of Gauss-Kronrod Quadrature Formulae. Mathematics of Computation. 51(184). 749–749. 6 indexed citations
4.
Gautschi, Walter & T. J. Rivlin. (1988). A family of Gauss-Kronrod quadrature formulae. Mathematics of Computation. 51(184). 749–754. 18 indexed citations
5.
Micchelli, Charles A. & T. J. Rivlin. (1987). An optimal recovery view of Walsh's equiconvergence theorem. Journal of Complexity. 3(3). 312–330. 1 indexed citations
6.
Newman, David & T. J. Rivlin. (1983). OPTIMAL UNIVERSALLY STABLE INTERPOLATION. Analysis. 3(1-4). 11 indexed citations
7.
Rivlin, T. J.. (1982). On Walsh equiconvergence. Journal of Approximation Theory. 36(4). 334–345. 7 indexed citations
8.
Micchelli, Charles A. & T. J. Rivlin. (1977). Optimal estimation in approximation theory : [proceedings of an International Symposium on Optimal Estimation in Approximation Theory held in Freudenstadt, Federal Republic of Germany, September 27-29, 1976]. Plenum Press eBooks. 1 indexed citations
9.
Newman, Donald J. & T. J. Rivlin. (1976). Correction: The zeros of the partial sums of the exponential function. Journal of Approximation Theory. 16(4). 299–300. 9 indexed citations
10.
Cheney, E. W. & T. J. Rivlin. (1975). Some polynomial approximation operators. Mathematische Zeitschrift. 145(1). 33–42. 4 indexed citations
11.
Rivlin, T. J.. (1975). Optimally Stable Lagrangian Numerical Differentiation. SIAM Journal on Numerical Analysis. 12(5). 712–725. 24 indexed citations
12.
Micchelli, Charles A. & T. J. Rivlin. (1974). Some new characterizations of the Chebyshev polynomials. Journal of Approximation Theory. 12(4). 420–424. 5 indexed citations
13.
Micchelli, Charles A. & T. J. Rivlin. (1973). Quadrature formulae and Hermite-Birkhoff interpolation. Advances in Mathematics. 11(1). 93–112. 19 indexed citations
14.
Newman, Donald J. & T. J. Rivlin. (1972). The zeros of the partial sums of the exponential function∗. Journal of Approximation Theory. 5(4). 405–412. 23 indexed citations
15.
Rivlin, T. J., et al.. (1969). An optimal property of Chebyshev expansions. Journal of Approximation Theory. 2(3). 312–317. 11 indexed citations
16.
Rivlin, T. J. & Bernard Weiss. (1968). Lanczos' τ-method and polynomial approximation in the plane. Journal of Mathematical Analysis and Applications. 22(2). 402–417. 2 indexed citations
17.
Rivlin, T. J., et al.. (1965). Some Numerical Experiments in the Theory of Polynomial Interpolation. IBM Journal of Research and Development. 9(3). 187–191. 38 indexed citations
18.
Rivlin, T. J.. (1964). A Property of the Ratio of Trigonometric Polynomials. 1(1). 131–132. 1 indexed citations
19.
Rivlin, T. J.. (1963). Overdetermined Systems of Linear Equations. SIAM Review. 5(1). 52–66. 2 indexed citations
20.
Rivlin, T. J.. (1960). A Note on Smooth Interpolation. SIAM Review. 2(1). 27–30.

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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