I. M. Longman

1.6k total citations
48 papers, 1.2k citations indexed

About

I. M. Longman is a scholar working on Applied Mathematics, Geophysics and Oceanography. According to data from OpenAlex, I. M. Longman has authored 48 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 12 papers in Geophysics and 11 papers in Oceanography. Recurrent topics in I. M. Longman's work include Matrix Theory and Algorithms (10 papers), Mathematical functions and polynomials (10 papers) and Geophysics and Gravity Measurements (8 papers). I. M. Longman is often cited by papers focused on Matrix Theory and Algorithms (10 papers), Mathematical functions and polynomials (10 papers) and Geophysics and Gravity Measurements (8 papers). I. M. Longman collaborates with scholars based in Israel, United Kingdom and United States. I. M. Longman's co-authors include José M. Grünzweig, N. J. Petch, C. L. Pekeris, Micha Sharir, Arnon Lavie, John Harrison, E. A. Kraut, N. F. Ness, H. Lifson and L. B. Slichter and has published in prestigious journals such as Journal of Geophysical Research Atmospheres, Journal of Computational Physics and The Journal of the Acoustical Society of America.

In The Last Decade

I. M. Longman

45 papers receiving 958 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
I. M. Longman Israel	15	432	421	145	144	137	48	1.2k
Z. Alterman Israel	17	270 0.6×	1000 2.4×	119 0.8×	173 1.2×	183 1.3×	53	1.8k
Willi Freeden Germany	24	745 1.7×	617 1.5×	284 2.0×	599 4.2×	162 1.2×	121	2.1k
Steven T. Zalesak United States	6	254 0.6×	75 0.2×	55 0.4×	197 1.4×	270 2.0×	8	2.2k
Mark A. Taylor United States	34	410 0.9×	117 0.3×	35 0.2×	117 0.8×	232 1.7×	104	3.2k
L.G. Margolin United States	29	285 0.7×	80 0.2×	69 0.5×	308 2.1×	188 1.4×	81	3.4k
Dean G. Duffy United States	16	157 0.4×	52 0.1×	32 0.2×	90 0.6×	63 0.5×	38	1.2k
George E. Backus United States	22	713 1.7×	2.9k 7.0×	917 6.3×	116 0.8×	453 3.3×	43	4.2k
Robert J. Renka United States	19	65 0.2×	61 0.1×	82 0.6×	66 0.5×	47 0.3×	59	1.4k
G. W. Hedstrom United States	12	46 0.1×	102 0.2×	26 0.2×	161 1.1×	61 0.4×	35	1.7k
Edward A. Flinn United States	18	70 0.2×	1.2k 2.8×	29 0.2×	56 0.4×	49 0.4×	44	1.6k

Countries citing papers authored by I. M. Longman

Since Specialization

Citations

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

Fields of papers citing papers by I. M. Longman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of I. M. Longman

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

Longman, I. M.. (1987). Increasing the convergence rate of series. Applied Mathematics and Computation. 24(1). 77–89. 3 indexed citations

Longman, I. M.. (1987). The summation of Fourier, Chebyshev, and Legendre series. Applied Mathematics and Computation. 23(1). 61–70. 9 indexed citations

Longman, I. M.. (1986). The summation of series. Applied Numerical Mathematics. 2(2). 135–141. 9 indexed citations

Longman, I. M.. (1985). The summation of power series and Fourier series. Journal of Computational and Applied Mathematics. 12-13. 447–457. 6 indexed citations

Longman, I. M.. (1984). Some aspects of the finite moment problem. Journal of Computational and Applied Mathematics. 10(2). 141–146. 5 indexed citations

Longman, I. M.. (1980). The calculation of Ricker seismic wavelet functions. Geophysics. 45(6). 1055–1060. 4 indexed citations

Longman, I. M.. (1980). Wave propagation in a viscoelastic solid. Journal of Computational Physics. 37(2). 171–182. 1 indexed citations

Longman, I. M.. (1975). Application of best rational function approximation for Laplace transform inversion. Journal of Computational and Applied Mathematics. 1(1). 17–23. 10 indexed citations

Longman, I. M.. (1973). On the Generation of Rational Function Approximations for Laplace Transform Inversion with an Application to Viscoelasticity. SIAM Journal on Applied Mathematics. 24(4). 429–440. 19 indexed citations

10.

Longman, I. M.. (1972). Computation of the padé table. International Journal of Computer Mathematics. 3(1-4). 53–64. 28 indexed citations

11.

Longman, I. M.. (1970). Computation of Theoretical Seismograms. Geophysical Journal International. 21(3). 295–305. 6 indexed citations

12.

Longman, I. M.. (1968). On the Numerical Inversion of the Laplace Transform of a Discontinuous Original. IMA Journal of Applied Mathematics. 4(3). 320–328. 11 indexed citations

13.

Longman, I. M.. (1963). A Green's function for determining the deformation of the Earth under surface mass loads: 2. Computations and numerical results. Journal of Geophysical Research Atmospheres. 68(2). 485–496. 188 indexed citations

14.

Longman, I. M.. (1962). A Green's function for determining the deformation of the Earth under surface mass loads: 1. Theory. Journal of Geophysical Research Atmospheres. 67(2). 845–850. 163 indexed citations

15.

Longman, I. M.. (1961). Solution of an Integral Equation Occurring the Study of Certain Wave-Propagation Problems in Layered Media. The Journal of the Acoustical Society of America. 33(7). 954–958. 11 indexed citations

16.

Longman, I. M.. (1960). A technique for the numerical solution of geophysical problems. Journal of Geophysical Research Atmospheres. 65(11). 3795–3800. 6 indexed citations

17.

Longman, I. M.. (1959). Formulas for computing the tidal accelerations due to the moon and the sun. Journal of Geophysical Research Atmospheres. 64(12). 2351–2355. 245 indexed citations

18.

Longman, I. M.. (1958). On the Numerical Evaluation of Cauchy Principal Values of Integrals. Mathematical Tables and Other Aids to Computation. 12(63). 205–205. 11 indexed citations

19.

Pekeris, C. L. & I. M. Longman. (1958). Ray-Theory Solution of the Problem of Propagation of Explosive Sound in a Layered Liquid. The Journal of the Acoustical Society of America. 30(4). 323–328. 18 indexed citations

20.

Longman, I. M.. (1957). Tables for the Rapid and Accurate Numerical Evaluation of Certain Infinite Integrals Involving Bessel Functions. Mathematical Tables and Other Aids to Computation. 11(59). 166–166. 14 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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