Paul E. Saylor

1.1k total citations
25 papers, 578 citations indexed

About

Paul E. Saylor is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Paul E. Saylor has authored 25 papers receiving a total of 578 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Computational Theory and Mathematics, 13 papers in Numerical Analysis and 8 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Paul E. Saylor's work include Matrix Theory and Algorithms (17 papers), Electromagnetic Scattering and Analysis (8 papers) and Numerical methods for differential equations (7 papers). Paul E. Saylor is often cited by papers focused on Matrix Theory and Algorithms (17 papers), Electromagnetic Scattering and Analysis (8 papers) and Numerical methods for differential equations (7 papers). Paul E. Saylor collaborates with scholars based in United States, Switzerland and South Korea. Paul E. Saylor's co-authors include Steven F. Ashby, Thomas A. Manteuffel, Yousef Saad, Howard C. Elman, Donald D. Joye, Albert J. Valocchi, Philip D. Meyer, Andreas von Manteuffel, Michael Holst and Markus Hegland and has published in prestigious journals such as Water Resources Research, Fuel and Industrial & Engineering Chemistry Research.

In The Last Decade

Paul E. Saylor

24 papers receiving 466 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Paul E. Saylor United States	13	358	239	227	167	45	25	578
B. Engquist United States	11	121 0.3×	225 0.9×	105 0.5×	105 0.6×	87 1.9×	17	628
Wei-Pai Tang United States	13	341 1.0×	281 1.2×	104 0.5×	200 1.2×	35 0.8×	22	500
Giorgio Pini Italy	16	381 1.1×	350 1.5×	109 0.5×	280 1.7×	181 4.0×	65	654
Ivar Gustafsson Sweden	12	523 1.5×	503 2.1×	223 1.0×	206 1.2×	169 3.8×	25	777
Melvin R. Scott United States	15	321 0.9×	339 1.4×	707 3.1×	54 0.3×	71 1.6×	43	1.1k
Wilhelm Heinrichs Germany	15	122 0.3×	369 1.5×	229 1.0×	56 0.3×	120 2.7×	50	560
R.P. Fedorenko Slovakia	8	144 0.4×	322 1.3×	129 0.6×	37 0.2×	59 1.3×	28	506
Loyce M. Adams United States	14	286 0.8×	317 1.3×	180 0.8×	100 0.6×	84 1.9×	30	637
Manfred R. Trummer Canada	11	145 0.4×	165 0.7×	243 1.1×	76 0.5×	115 2.6×	38	584
G. L. Watson United Kingdom	12	157 0.4×	139 0.6×	118 0.5×	65 0.4×	55 1.2×	58	846

Countries citing papers authored by Paul E. Saylor

Since Specialization

Citations

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

Fields of papers citing papers by Paul E. Saylor

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Paul E. Saylor. 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 Paul E. Saylor. The network helps show where Paul E. Saylor may publish in the future.

Co-authorship network of co-authors of Paul E. Saylor

This figure shows the co-authorship network connecting the top 25 collaborators of Paul E. Saylor. A scholar is included among the top collaborators of Paul E. Saylor 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 Paul E. Saylor. Paul E. Saylor 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

Balakrishnan, Ramesh, E. D’Azevedo, Bronson Messer, et al.. (2006). On the performance of SPAI and ADI-like preconditioners for core collapse supernova simulations in one spatial dimension. Computer Physics Communications. 175(5). 330–338.

Swesty, F. Douglas, et al.. (2004). A Comparison of Algorithms for the Efficient Solution of the Linear Systems Arising from Multigroup Flux‐limited Diffusion Problems. The Astrophysical Journal Supplement Series. 153(1). 369–387. 9 indexed citations

Ashby, Steven F., Michael Holst, Andreas von Manteuffel, & Paul E. Saylor. (2001). The Role of the Inner Product in Stopping Criteria for Conjugate Gradient Iterations. BIT Numerical Mathematics. 41(1). 26–52. 26 indexed citations

Saylor, Paul E., et al.. (2001). Why Gaussian quadrature in the complex plane?. Numerical Algorithms. 26(3). 251–280. 15 indexed citations

Saylor, Paul E., et al.. (2001). Addendum to: Why Gaussian Quadrature in the Complex Plane?. Numerical Algorithms. 27(2). 215–217. 4 indexed citations

Concus, Paul & Paul E. Saylor. (1995). A modified direct preconditioner for indefinite symmetric Toeplitz systems. Numerical Linear Algebra with Applications. 2(5). 415–429. 6 indexed citations

Hegland, Markus & Paul E. Saylor. (1992). Block jacobi preconditioning of the conjugate gradient method on a vector processor. International Journal of Computer Mathematics. 44(1-4). 71–89. 10 indexed citations

Saylor, Paul E., et al.. (1991). Implementation of an adaptive algorithm for Richardson's method. Linear Algebra and its Applications. 154-156. 615–646. 22 indexed citations

Saylor, Paul E. & Donald D. Joye. (1991). Hydrostatic correction and pressure drop measurement in mixed convection heat transfer in a vertical tube. Industrial & Engineering Chemistry Research. 30(4). 784–788. 12 indexed citations

10.

Ashby, Steven F., Thomas A. Manteuffel, & Paul E. Saylor. (1990). A Taxonomy for Conjugate Gradient Methods. SIAM Journal on Numerical Analysis. 27(6). 1542–1568. 189 indexed citations

11.

Saylor, Paul E. & Robert D. Skeel. (1990). Linear Iterative Solvers for Implicit Ode Methods. NASA STI Repository (National Aeronautics and Space Administration). 1 indexed citations

12.

Ashby, Steven F., Thomas A. Manteuffel, & Paul E. Saylor. (1989). Adaptive polynomial preconditioning for hermitian indefinite linear systems. BIT Numerical Mathematics. 29(4). 583–609. 33 indexed citations

13.

Meyer, Philip D., Albert J. Valocchi, Steven F. Ashby, & Paul E. Saylor. (1989). A numerical investigation of the conjugate gradient method as applied to three‐dimensional groundwater flow problems in randomly heterogeneous porous media. Water Resources Research. 25(6). 1440–1446. 44 indexed citations

14.

Joye, Donald D., et al.. (1989). Mixed convection heat transfer at high Grashof number in a vertical tube. Industrial & Engineering Chemistry Research. 28(12). 1899–1903. 22 indexed citations

15.

Saylor, Paul E.. (1988). Leapfrog variants of iterative methods for linear algebraic equations. Journal of Computational and Applied Mathematics. 24(1-2). 169–193. 20 indexed citations

16.

Saylor, Paul E., et al.. (1988). Computing the Roots of Complex Orthogonal and Kernel Polynomials. SIAM Journal on Scientific and Statistical Computing. 9(1). 1–13. 18 indexed citations

17.

Elman, Howard C., Yousef Saad, & Paul E. Saylor. (1986). A Hybrid Chebyshev Krylov Subspace Algorithm for Solving Nonsymmetric Systems of Linear Equations. SIAM Journal on Scientific and Statistical Computing. 7(3). 840–855. 59 indexed citations

18.

Saad, Yousef, Ahmed Sameh, & Paul E. Saylor. (1985). Solving Elliptic Difference Equations on a Linear Array of Processors. SIAM Journal on Scientific and Statistical Computing. 6(4). 1049–1063. 6 indexed citations

19.

Saylor, Paul E.. (1974). Second Order Strongly Implicit Symmetric Factorization Methods for the Solution of Elliptic Difference Equations. SIAM Journal on Numerical Analysis. 11(5). 894–908. 20 indexed citations

20.

Saylor, Paul E., et al.. (1973). A Symmetric Factorization Procedure for the Solution of Elliptic Boundary Value Problems. SIAM Journal on Numerical Analysis. 10(1). 190–206. 16 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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