Peter Alfeld

1.6k total citations
41 papers, 926 citations indexed

About

Peter Alfeld is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, Peter Alfeld has authored 41 papers receiving a total of 926 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Computational Mechanics, 13 papers in Computational Theory and Mathematics and 10 papers in Numerical Analysis. Recurrent topics in Peter Alfeld's work include Advanced Numerical Analysis Techniques (25 papers), Computational Geometry and Mesh Generation (9 papers) and Advanced Numerical Methods in Computational Mathematics (9 papers). Peter Alfeld is often cited by papers focused on Advanced Numerical Analysis Techniques (25 papers), Computational Geometry and Mesh Generation (9 papers) and Advanced Numerical Methods in Computational Mathematics (9 papers). Peter Alfeld collaborates with scholars based in United States. Peter Alfeld's co-authors include Larry L. Schumaker, Marian Neamtu, Bruce Piper, J. D. Lambert, Walter Whiteley, D. Eyre, Robert E. Barnhill and Bryan T. Harris and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Numerische Mathematik.

In The Last Decade

Peter Alfeld

37 papers receiving 802 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Alfeld United States 15 736 240 180 137 114 41 926
D. J. Benson United States 10 351 0.5× 183 0.8× 100 0.6× 170 1.2× 85 0.7× 12 843
Oleg Davydov Germany 14 490 0.7× 70 0.3× 96 0.5× 287 2.1× 79 0.7× 63 691
Dominik Göddeke Germany 16 303 0.4× 62 0.3× 217 1.2× 34 0.2× 37 0.3× 36 773
Patrick Mullen United States 13 555 0.8× 411 1.7× 29 0.2× 23 0.2× 138 1.2× 17 727
Simon Masnou France 14 303 0.4× 182 0.8× 158 0.9× 31 0.2× 787 6.9× 36 1.1k
Gabriele Steidl Germany 16 200 0.3× 12 0.1× 81 0.5× 45 0.3× 486 4.3× 36 820
Seongjai Kim United States 15 235 0.3× 30 0.1× 41 0.2× 70 0.5× 314 2.8× 51 804
Gisbert Stoyan Hungary 11 214 0.3× 15 0.1× 93 0.5× 67 0.5× 23 0.2× 24 396
Georg May Germany 17 1.5k 2.0× 54 0.2× 59 0.3× 84 0.6× 6 0.1× 63 1.6k
Michael Welcome United States 9 1.1k 1.6× 84 0.3× 33 0.2× 52 0.4× 24 0.2× 16 1.5k

Countries citing papers authored by Peter Alfeld

Since Specialization
Citations

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

Fields of papers citing papers by Peter Alfeld

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Alfeld

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Alfeld. A scholar is included among the top collaborators of Peter Alfeld 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 Peter Alfeld. Peter Alfeld is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Alfeld, Peter, et al.. (2008). Two tetrahedral C1 cubic macro elements. Journal of Approximation Theory. 157(1). 53–69. 6 indexed citations
2.
Alfeld, Peter, et al.. (2008). Two condensed macro-elements with full approximation power. Advances in Computational Mathematics. 32(4). 381–391. 3 indexed citations
3.
Alfeld, Peter. (2000). Bivariate spline spaces and minimal determining sets. Journal of Computational and Applied Mathematics. 119(1-2). 13–27. 22 indexed citations
4.
Alfeld, Peter & Larry L. Schumaker. (2000). Nonexistence of Star-Supported Spline Bases. SIAM Journal on Mathematical Analysis. 31(2). 455–465. 10 indexed citations
5.
Alfeld, Peter, Marian Neamtu, & Larry L. Schumaker. (1996). Fitting scattered data on sphere-like surfaces using spherical splines. Journal of Computational and Applied Mathematics. 73(1-2). 5–43. 86 indexed citations
6.
Alfeld, Peter. (1996). Upper and Lower Bounds on the Dimension of Multivariate Spline Spaces. SIAM Journal on Numerical Analysis. 33(2). 571–588. 13 indexed citations
7.
Alfeld, Peter, Marian Neamtu, & Larry L. Schumaker. (1996). Dimension and Local Bases of Homogeneous Spline Spaces. SIAM Journal on Mathematical Analysis. 27(5). 1482–1501. 29 indexed citations
8.
Alfeld, Peter, et al.. (1992). On dimension and existence of local bases for multivariate spline spaces. Journal of Approximation Theory. 70(2). 243–264. 26 indexed citations
9.
Alfeld, Peter, et al.. (1991). The Structure of Multivariate Superspline Spaces of High Degree. Mathematics of Computation. 57(195). 299–299. 2 indexed citations
10.
Alfeld, Peter & D. Eyre. (1991). The exact analysis of sparse rectangular linear systems. ACM Transactions on Mathematical Software. 17(4). 502–518. 6 indexed citations
11.
Alfeld, Peter & Larry L. Schumaker. (1987). The dimension of bivariate spline spaces of smoothnessr for degreed≥4r+1. Constructive Approximation. 3(1). 189–197. 96 indexed citations
12.
Alfeld, Peter. (1985). Derivative generation from multivariate scattered data by functional minimization. Computer Aided Geometric Design. 2(4). 281–296. 10 indexed citations
13.
Alfeld, Peter. (1984). Multivariate Scattered Data Derivative Generation by Functional Minimization,. Defense Technical Information Center (DTIC). 4 indexed citations
14.
Alfeld, Peter. (1982). Fixed point iteration with inexact function values. Mathematics of Computation. 38(157). 87–98. 4 indexed citations
15.
Alfeld, Peter. (1982). Fixed Point Iteration with Inexact Function Values. Mathematics of Computation. 38(157). 87–87. 1 indexed citations
16.
Alfeld, Peter. (1979). Inverse linear multistep methods for the numerical solution of initial value problems of ordinary differential equations. Mathematics of Computation. 33(145). 111–124. 4 indexed citations
17.
Alfeld, Peter. (1979). Inverse Linear Multistep Methods for the Numerical Solution of Initial Value Problems of Ordinary Differential Equations. Mathematics of Computation. 33(145). 111–111. 2 indexed citations
18.
Alfeld, Peter. (1979). A special class of explicit linear multistep methods as basic methods for the correction in the dominant space technique. Mathematics of Computation. 33(148). 1195–1212. 1 indexed citations
19.
Alfeld, Peter. (1979). A Special Class of Explicit Linear Multistep Methods as Basic Methods for the Correction in the Dominant Space Technique. Mathematics of Computation. 33(148). 1195–1195. 1 indexed citations
20.
Alfeld, Peter & J. D. Lambert. (1977). Correction in the dominant space: a numerical technique for a certain class of stiff initial value problems. Mathematics of Computation. 31(140). 922–938. 18 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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