J. N. Lyness

3.5k total citations
119 papers, 2.6k citations indexed

About

J. N. Lyness is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, J. N. Lyness has authored 119 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Numerical Analysis, 50 papers in Computational Theory and Mathematics and 42 papers in Applied Mathematics. Recurrent topics in J. N. Lyness's work include Mathematical functions and polynomials (36 papers), Matrix Theory and Algorithms (35 papers) and Iterative Methods for Nonlinear Equations (23 papers). J. N. Lyness is often cited by papers focused on Mathematical functions and polynomials (36 papers), Matrix Theory and Algorithms (35 papers) and Iterative Methods for Nonlinear Equations (23 papers). J. N. Lyness collaborates with scholars based in United States, Australia and Italy. J. N. Lyness's co-authors include C Moler, L. M. Delves, Dennis C. Jespersen, Giulio Giunta, Barry W. Ninham, Ian H. Sloan, Tor Sørevik, John M. Blatt, Giovanni Monegato and P. Keast and has published in prestigious journals such as Physical Review Letters, The Journal of Chemical Physics and Journal of Computational Physics.

In The Last Decade

J. N. Lyness

112 papers receiving 2.2k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
J. N. Lyness United States	25	894	654	622	622	430	119	2.6k
L. Fox United Kingdom	20	940 1.1×	571 0.9×	571 0.9×	396 0.6×	307 0.7×	43	2.7k
V. I. Krylov Russia	8	582 0.7×	532 0.8×	433 0.7×	639 1.0×	520 1.2×	16	3.3k
C. W. Clenshaw United Kingdom	15	751 0.8×	326 0.5×	553 0.9×	987 1.6×	474 1.1×	27	3.0k
Lothar Collatz Germany	15	1.0k 1.2×	840 1.3×	1.0k 1.7×	361 0.6×	240 0.6×	28	3.2k
A. H. Stroud United States	14	571 0.6×	705 1.1×	384 0.6×	492 0.8×	590 1.4×	49	3.0k
Robert Piessens Belgium	26	552 0.6×	300 0.5×	323 0.5×	670 1.1×	462 1.1×	97	2.4k
A. S. Householder United States	21	993 1.1×	454 0.7×	1.5k 2.4×	426 0.7×	404 0.9×	63	3.9k
Joseph W. Jerome United States	24	601 0.7×	1.0k 1.6×	486 0.8×	854 1.4×	276 0.6×	131	2.7k
R. S. Varga United States	26	1.2k 1.3×	805 1.2×	934 1.5×	693 1.1×	204 0.5×	91	2.4k
T. J. Rivlin United States	23	1.6k 1.8×	870 1.3×	1.4k 2.2×	1.7k 2.8×	402 0.9×	71	5.3k

Countries citing papers authored by J. N. Lyness

Since Specialization

Citations

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

Fields of papers citing papers by J. N. Lyness

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of J. N. Lyness

This figure shows the co-authorship network connecting the top 25 collaborators of J. N. Lyness. A scholar is included among the top collaborators of J. N. Lyness 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 J. N. Lyness. J. N. Lyness 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

Lyness, J. N.. (2005). A Prototype Four-Dimensional Galerkin-Type Integral. Publications of the Research Institute for Mathematical Sciences. 41(4). 843–851.

Lyness, J. N., Tor Sørevik, & P. Keast. (1991). Notes on integration and integer sublattices. Mathematics of Computation. 56(193). 243–255. 12 indexed citations

Sloan, Ian H. & J. N. Lyness. (1989). The representation of lattice quadrature rules as multiple sums. Mathematics of Computation. 52(185). 81–94. 38 indexed citations

Lyness, J. N. & Giulio Giunta. (1986). A Modification of the Weeks Method for Numerical Inversion of the Laplace Transform. Mathematics of Computation. 47(175). 313–313. 40 indexed citations

Lyness, J. N. & Giulio Giunta. (1986). A modification of the Weeks method for numerical inversion of the Laplace transform. Mathematics of Computation. 47(175). 313–322. 32 indexed citations

Lyness, J. N., et al.. (1980). Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices. Mathematics of Computation. 34(149). 213–225. 16 indexed citations

Monegato, Giovanni & J. N. Lyness. (1979). On the numerical evaluation of a particular singular two-dimensional integral. Mathematics of Computation. 33(147). 993–1002. 5 indexed citations

Lyness, J. N.. (1979). The affine scale invariance of minimization algorithms. Mathematics of Computation. 33(145). 265–287. 3 indexed citations

Lyness, J. N.. (1979). A bench mark experiment for minimization algorithms. Mathematics of Computation. 33(145). 249–264. 6 indexed citations

10.

Lyness, J. N.. (1974). Computational techniques based on the Lanczos representation. Mathematics of Computation. 28(125). 81–123. 33 indexed citations

11.

Lyness, J. N.. (1971). Adjusted forms of the Fourier coefficient asymptotic expansion and applications in numerical quadrature. Mathematics of Computation. 25(113). 87–104. 29 indexed citations

12.

Lyness, J. N.. (1971). Guidelines for Automatic Quadrature Routines.. IFIP Congress. 1351–1355. 3 indexed citations

13.

Smith, William E. & J. N. Lyness. (1969). Applications of Hilbert transform theory to numerical quadrature. Mathematics of Computation. 23(106). 231–252. 20 indexed citations

14.

Ninham, Barry W. & J. N. Lyness. (1969). Further asymptotic expansions for the error functional. Mathematics of Computation. 23(105). 71–83. 5 indexed citations

15.

Lyness, J. N.. (1968). Differentiation formulas for analytic functions. Mathematics of Computation. 22(102). 352–362. 61 indexed citations

16.

Delves, L. M. & J. N. Lyness. (1967). A numerical method for locating the zeros of an analytic function. Mathematics of Computation. 21(100). 543–560. 257 indexed citations

17.

Lyness, J. N. & L. M. Delves. (1967). On Numerical Contour Integration Round a Closed Contour. Mathematics of Computation. 21(100). 561–561. 8 indexed citations

18.

Delves, L. M. & J. N. Lyness. (1967). A Numerical Method for Locating the Zeros of an Analytic Function. Mathematics of Computation. 21(100). 543–543. 39 indexed citations

19.

Lyness, J. N. & L. M. Delves. (1967). On numerical contour integration round a closed contour. Mathematics of Computation. 21(100). 561–577. 39 indexed citations

20.

Lyness, J. N.. (1965). Integration rules of hypercubic symmetry over a certain spherically symmetric space. Mathematics of Computation. 19(91). 471–476. 9 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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