Oliver Aberth

728 total citations
27 papers, 474 citations indexed

About

Oliver Aberth is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Artificial Intelligence. According to data from OpenAlex, Oliver Aberth has authored 27 papers receiving a total of 474 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Computational Theory and Mathematics, 3 papers in Numerical Analysis and 3 papers in Artificial Intelligence. Recurrent topics in Oliver Aberth's work include Computability, Logic, AI Algorithms (9 papers), Numerical Methods and Algorithms (8 papers) and Iterative Methods for Nonlinear Equations (3 papers). Oliver Aberth is often cited by papers focused on Computability, Logic, AI Algorithms (9 papers), Numerical Methods and Algorithms (8 papers) and Iterative Methods for Nonlinear Equations (3 papers). Oliver Aberth collaborates with scholars based in United States and Germany. Oliver Aberth's co-authors include and has published in prestigious journals such as Communications of the ACM, Mathematics of Computation and Journal of the ACM.

In The Last Decade

Oliver Aberth

25 papers receiving 424 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Oliver Aberth United States	10	340	175	76	64	37	27	474
Gilbert Stengle United States	9	179 0.5×	116 0.7×	79 1.0×	39 0.6×	57 1.5×	29	451
Alkiviadis G. Akritas United States	11	274 0.8×	47 0.3×	77 1.0×	73 1.1×	53 1.4×	41	485
C. T. Fike United States	6	181 0.5×	95 0.5×	36 0.5×	44 0.7×	17 0.5×	11	365
Milvio Capovani Italy	7	251 0.7×	69 0.4×	58 0.8×	44 0.7×	30 0.8×	13	341
J. H. Wilkinson United Kingdom	7	235 0.7×	137 0.8×	24 0.3×	30 0.5×	23 0.6×	9	370
Pablo Tarazaga United States	13	268 0.8×	122 0.7×	33 0.4×	76 1.2×	84 2.3×	36	429
S. R. Czapor Canada	7	224 0.7×	37 0.2×	115 1.5×	49 0.8×	47 1.3×	14	408
G. Lotti Italy	9	225 0.7×	68 0.4×	93 1.2×	40 0.6×	9 0.2×	54	392
Naomi Shaked-Monderer Israel	10	372 1.1×	229 1.3×	38 0.5×	93 1.5×	57 1.5×	30	572
Alvaro R. De Pierro Brazil	15	238 0.7×	229 1.3×	32 0.4×	179 2.8×	24 0.6×	45	583

Countries citing papers authored by Oliver Aberth

Since Specialization

Citations

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

Fields of papers citing papers by Oliver Aberth

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Oliver Aberth. 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 Oliver Aberth. The network helps show where Oliver Aberth may publish in the future.

No nodes

All Works

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20 of 20 papers shown

1.

Aberth, Oliver. (2007). Introduction to Precise Numerical Methods, Second Edition. 4 indexed citations

2.

Aberth, Oliver. (1998). Precise Numerical Methods Using C++ with Cdrom. 2 indexed citations

3.

Aberth, Oliver. (1997). The solution of linear interval equations by a linear programming method. Linear Algebra and its Applications. 259. 271–279. 7 indexed citations

4.

Aberth, Oliver. (1994). Computation of topological degree using interval arithmetic, and applications. Mathematics of Computation. 62(205). 171–178. 10 indexed citations

5.

Aberth, Oliver. (1991). Marian B. Pour-El and J. Ian Richards. Computability in analysis and physics. Perspectives in mathematical logic. Springer-Verlag, Berlin, Heidelberg, New York, etc., 1989, xi + 206 pp.. Journal of Symbolic Logic. 56(2). 749–750.

6.

Aberth, Oliver. (1988). Precise Numerical Analysis with Disk. 6 indexed citations

7.

Aberth, Oliver. (1980). Computable analysis. 66 indexed citations

8.

Aberth, Oliver. (1978). A method for exact computation with rational numbers. Journal of Computational and Applied Mathematics. 4(4). 285–288. 3 indexed citations

9.

Aberth, Oliver, et al.. (1975). Computable Analysis and Differential Equations.. Journal of Symbolic Logic. 40(1). 84–84. 1 indexed citations

10.

Aberth, Oliver. (1973). Iteration methods for finding all zeros of a polynomial simultaneously. Mathematics of Computation. 27(122). 339–344. 234 indexed citations

11.

Aberth, Oliver. (1973). Iteration Methods for Finding all Zeros of a Polynomial Simultaneously. Mathematics of Computation. 27(122). 339–339. 26 indexed citations

12.

Aberth, Oliver. (1973). An Inequality for Convex Polyhedra. Journal of the London Mathematical Society. s2-6(2). 382–384. 4 indexed citations

13.

Aberth, Oliver. (1971). The Failure in Computable Analysis of a Classical Existence Theorem for Differential Equations. Proceedings of the American Mathematical Society. 30(1). 151–151. 5 indexed citations

14.

Aberth, Oliver. (1971). The failure in computable analysis of a classical existence theorem for differential equations. Proceedings of the American Mathematical Society. 30(1). 151–156. 20 indexed citations

15.

Aberth, Oliver. (1971). The concept of effective method applied to computational problems of linear algebra. Journal of Computer and System Sciences. 5(1). 17–25. 3 indexed citations

16.

Aberth, Oliver. (1969). A chain of inclusion relations in computable analysis. Proceedings of the American Mathematical Society. 22(2). 539–548. 3 indexed citations

17.

Aberth, Oliver. (1969). A Chain of Inclusion Relations in Computable Analysis. Proceedings of the American Mathematical Society. 22(2). 539–539. 1 indexed citations

18.

Aberth, Oliver. (1968). Analysis in the Computable Number Field. Journal of the ACM. 15(2). 275–299. 14 indexed citations

19.

Aberth, Oliver. (1967). The Transformation of Tensors into Diagonal Form. SIAM Journal on Applied Mathematics. 15(5). 1247–1252. 1 indexed citations

20.

Aberth, Oliver. (1963). An Isoperimetric Inequality for Polyhedra and its Application to an Extremal Problem. Proceedings of the London Mathematical Society. s3-13(1). 322–336. 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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