J. A. C. Weideman

4.0k total citations · 2 hit papers
49 papers, 2.7k citations indexed

About

J. A. C. Weideman is a scholar working on Numerical Analysis, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, J. A. C. Weideman has authored 49 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Numerical Analysis, 18 papers in Statistical and Nonlinear Physics and 12 papers in Computational Theory and Mathematics. Recurrent topics in J. A. C. Weideman's work include Numerical methods for differential equations (18 papers), Nonlinear Waves and Solitons (16 papers) and Fractional Differential Equations Solutions (11 papers). J. A. C. Weideman is often cited by papers focused on Numerical methods for differential equations (18 papers), Nonlinear Waves and Solitons (16 papers) and Fractional Differential Equations Solutions (11 papers). J. A. C. Weideman collaborates with scholars based in South Africa, United States and United Kingdom. J. A. C. Weideman's co-authors include Lloyd N. Trefethen, S C Reddy, B. M. Herbst, T. Schmelzer, Bengt Fornberg, A. Cloot, Karel J. in ’t Hout, Kathy Driver, Helmut Prodinger and Carsten Schneider and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

J. A. C. Weideman

49 papers receiving 2.5k 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.

A MATLAB differentiation matrix suite

2000 640 citations J. A. C. Weideman et al. profile →
The Exponentially Convergent Trapezoidal Rule

2014 305 citations Lloyd N. Trefethen, J. A. C. Weideman profile →

Peers

J. A. C. Weideman

NA

CM

SNP

AMPO

AM

J. R. Ockendon United Kingdom

A. H. Nayfeh United States

Tobin A. Driscoll United States

T. A. Zang United States

Wei Cai United States

Pingwen Zhang China

J. Kevorkian United States

Alexander Ostermann Austria

Yu. A. Mitropol’skii Czechia

V. I. Krylov Russia

J. R. Ockendon United Kingdom

J. A. C. Weideman

484 ×0.6

NA

1.3k ×2.2

CM

471 ×0.8

SNP

377 ×0.8

AMPO

463 ×1.1

AM

Citations per year, relative to J. A. C. Weideman J. A. C. Weideman (= 1×) peers J. R. Ockendon

Countries citing papers authored by J. A. C. Weideman

Since Specialization

Citations

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

Fields of papers citing papers by J. A. C. Weideman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. A. C. Weideman. 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. A. C. Weideman. The network helps show where J. A. C. Weideman may publish in the future.

Co-authorship network of co-authors of J. A. C. Weideman

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

1.

King, John R., et al.. (2024). Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation. Nonlinearity. 37(10). 105005–105005. 1 indexed citations

2.

Fornberg, Bengt, et al.. (2017). A computational exploration of the McCoy–Tracy–Wu solutions of the third Painlevé equation. Physica D Nonlinear Phenomena. 363. 18–43. 10 indexed citations

3.

Fornberg, Bengt, et al.. (2017). Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. Journal of Computational Physics. 344. 36–50. 8 indexed citations

4.

Driscoll, Tobin A. & J. A. C. Weideman. (2014). Optimal Domain Splitting for Interpolation by Chebyshev Polynomials. SIAM Journal on Numerical Analysis. 52(4). 1913–1927. 3 indexed citations

5.

Weideman, J. A. C.. (2009). Improved contour integral methods for parabolic PDEs. IMA Journal of Numerical Analysis. 30(1). 334–350. 29 indexed citations

6.

Driver, Kathy, Helmut Prodinger, Carsten Schneider, & J. A. C. Weideman. (2006). Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation. The Ramanujan Journal. 11(2). 139–158. 11 indexed citations

7.

Driver, Kathy, Helmut Prodinger, Carsten Schneider, & J. A. C. Weideman. (2006). Padé approximations to the logarithm III: Alternative methods and additional results. The Ramanujan Journal. 12(3). 299–314. 13 indexed citations

8.

Weideman, J. A. C.. (2005). Padé Approximations to the Logarithm I: Derivation Via Differential Equations. Quaestiones Mathematicae. 28(3). 375–390. 11 indexed citations

9.

Weideman, J. A. C.. (2002). Numerical Integration of Periodic Functions: A Few Examples. American Mathematical Monthly. 109(1). 21–21. 43 indexed citations

10.

Weideman, J. A. C., et al.. (2000). Quadrature rules based on partial fraction expansions. Numerical Algorithms. 24(1-2). 159–178. 22 indexed citations

11.

Weideman, J. A. C., et al.. (1999). A note on an integrable discretization of the nonlinear Schrödinger equation. Inverse Problems. 15(3). 807–810. 3 indexed citations

12.

Weideman, J. A. C.. (1995). Computing the Hilbert Transform on the Real Line. Mathematics of Computation. 64(210). 745–745. 45 indexed citations

13.

Weideman, J. A. C.. (1995). Computing the Hilbert transform on the real line. Mathematics of Computation. 64(210). 745–762. 48 indexed citations

14.

Weideman, J. A. C.. (1992). The eigenvalues of Hermite and rational spectral differentiation matrices. Numerische Mathematik. 61(1). 409–432. 32 indexed citations

15.

Trefethen, Lloyd N. & J. A. C. Weideman. (1991). Two results on polynomial interpolation in equally spaced points. Journal of Approximation Theory. 65(3). 247–260. 63 indexed citations

16.

Weideman, J. A. C. & A. Cloot. (1990). Spectral methods and mappings for evolution equations on the infinite line. Computer Methods in Applied Mechanics and Engineering. 80(1-3). 467–481. 21 indexed citations

17.

Cloot, A., B. M. Herbst, & J. A. C. Weideman. (1990). A numerical study of the nonlinear Schrödinger equation involving quintic terms. Journal of Computational Physics. 86(1). 127–146. 19 indexed citations

18.

Weideman, J. A. C. & B. M. Herbst. (1987). Recurrence in Semidiscrete Approximations of the Nonlinear Schrödinger Equation. SIAM Journal on Scientific and Statistical Computing. 8(6). 988–1004. 9 indexed citations

19.

Weideman, J. A. C. & B. M. Herbst. (1986). Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation. SIAM Journal on Numerical Analysis. 23(3). 485–507. 280 indexed citations

20.

Herbst, B. M., A. R. Mitchell, & J. A. C. Weideman. (1985). On the stability of the nonlinear Schrödinger equation. Journal of Computational Physics. 60(2). 263–281. 15 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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