Peter Massopust

2.4k total citations · 1 hit paper
53 papers, 1.5k citations indexed

About

Peter Massopust is a scholar working on Mathematical Physics, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, Peter Massopust has authored 53 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Mathematical Physics, 19 papers in Applied Mathematics and 17 papers in Computational Mechanics. Recurrent topics in Peter Massopust's work include Mathematical Dynamics and Fractals (27 papers), Mathematical Analysis and Transform Methods (17 papers) and Advanced Numerical Analysis Techniques (17 papers). Peter Massopust is often cited by papers focused on Mathematical Dynamics and Fractals (27 papers), Mathematical Analysis and Transform Methods (17 papers) and Advanced Numerical Analysis Techniques (17 papers). Peter Massopust collaborates with scholars based in Germany, United States and India. Peter Massopust's co-authors include Douglas P. Hardin, Jeffrey S. Geronimo, Michael F. Barnsley, George C. Donovan, John H. Elton, Brigitte Forster, Martin Storath, Ole Christensen, Saurabh Verma and David Ruch and has published in prestigious journals such as Annals of the New York Academy of Sciences, IEEE Transactions on Image Processing and BMC Bioinformatics.

In The Last Decade

Peter Massopust

46 papers receiving 1.4k citations

Hit Papers

Fractal Functions and Wavelet Expansions Based on Several... 1994 2026 2004 2015 1994 100 200 300 400
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.

  1. Fractal Functions and Wavelet Expansions Based on Several Scaling Functions
    1994 410 citations Douglas P. Hardin, Peter Massopust et al. Journal of Approximation Theory profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Massopust Germany 17 721 646 349 341 267 53 1.5k
Palle E. T. Jørgensen United States 27 471 0.7× 2.2k 3.4× 390 1.1× 1.9k 5.7× 119 0.4× 257 3.1k
Serge Dubuc Canada 14 308 0.4× 210 0.3× 62 0.2× 144 0.4× 610 2.3× 52 1.3k
Morten Nielsen Denmark 20 501 0.7× 269 0.4× 81 0.2× 616 1.8× 737 2.8× 82 1.8k
Pantelis Bouboulis Greece 16 232 0.3× 269 0.4× 141 0.4× 39 0.1× 319 1.2× 28 756
Pierre Gilles Lemarié–Rieusset France 19 312 0.4× 1.2k 1.8× 38 0.1× 1.6k 4.7× 417 1.6× 58 1.9k
Carlos Cabrelli Argentina 15 277 0.4× 202 0.3× 32 0.1× 326 1.0× 145 0.5× 56 794
Ursula Molter Argentina 15 250 0.3× 180 0.3× 30 0.1× 248 0.7× 138 0.5× 53 639
B. M. Herbst South Africa 21 222 0.3× 153 0.2× 825 2.4× 148 0.4× 188 0.7× 54 1.7k
Ernesto De Vito Italy 16 396 0.5× 341 0.5× 124 0.4× 219 0.6× 453 1.7× 56 1.5k
Rémi Vaillancourt Canada 19 147 0.2× 343 0.5× 229 0.7× 476 1.4× 144 0.5× 113 1.5k

Countries citing papers authored by Peter Massopust

Since Specialization
Citations

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

Fields of papers citing papers by Peter Massopust

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Massopust

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Massopust. A scholar is included among the top collaborators of Peter Massopust 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 Massopust. Peter Massopust 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.
Kumar, Deependra, A. K. B. Chand, & Peter Massopust. (2025). Solutions of differential equations using fractal multiquadric RBF networks. BIT Numerical Mathematics. 65(4).
2.
Massopust, Peter, et al.. (2024). An integral RB operator. Journal of Fixed Point Theory and Applications. 26(4).
3.
Kumar, D., A. K. B. Chand, & Peter Massopust. (2023). Multivariate Zipper Fractal Functions. Numerical Functional Analysis and Optimization. 44(14). 1538–1569. 5 indexed citations
4.
Massopust, Peter. (2023). Fractal hypersurfaces, affine Weyl groups, and wavelet sets. The Journal of Analysis. 32(1). 399–431. 3 indexed citations
5.
Hogan, Jeffrey A. & Peter Massopust. (2017). Quaternionic B-splines. Journal of Approximation Theory. 224. 43–65. 2 indexed citations
6.
Massopust, Peter. (2015). On local fractal functions in banach spaces. AIP conference proceedings. 1648. 640002–640002. 1 indexed citations
7.
Barnsley, Michael F. & Peter Massopust. (2014). Bilinear fractal interpolation and box dimension. Journal of Approximation Theory. 192. 362–378. 73 indexed citations
8.
Forster, Brigitte, Ramūnas Garunkštis, Peter Massopust, & Jörn Steuding. (2013). Complex B-splines and Hurwitz zeta functions. LMS Journal of Computation and Mathematics. 16. 61–77. 1 indexed citations
9.
Forster, Brigitte & Peter Massopust. (2011). Multivariate Interpolation with Fundamental Splines of Fractional Order. PAMM. 11(1). 857–858. 1 indexed citations
10.
Forster, Brigitte, Peter Massopust, & Ole Christensen. (2010). Four short courses on harmonic analysis : wavelets, frames, time-frequency methods, and applications to signal and image analysis. CERN Document Server (European Organization for Nuclear Research). 9 indexed citations
11.
Massopust, Peter & Brigitte Forster. (2009). Multivariate complex B-splines and Dirichlet averages. Journal of Approximation Theory. 162(2). 252–269. 5 indexed citations
12.
Storath, Martin, et al.. (2009). Steerable Wavelet Frames Based on the Riesz Transform. IEEE Transactions on Image Processing. 19(3). 653–667. 59 indexed citations
13.
Massopust, Peter. (1998). A MULTIWAVELET BASED ON PIECEWISE C1 FRACTAL FUNCTIONS AND RELATED APPLICATIONS TO DIFFERENTIAL EQUATIONS. 4(2). 249–283. 2 indexed citations
14.
Massopust, Peter, et al.. (1996). On the Support Properties of Scaling Vectors. Applied and Computational Harmonic Analysis. 3(3). 229–238. 27 indexed citations
15.
Hardin, Douglas P. & Peter Massopust. (1993). Fractal Interpolation Functions from $R^n$ into $R^m$ and their Projections. Zeitschrift für Analysis und ihre Anwendungen. 12(3). 535–548. 40 indexed citations
16.
Massopust, Peter. (1993). Smooth Interpolating Curves and Surfaces Generated by Iterated Function Systems. Zeitschrift für Analysis und ihre Anwendungen. 12(2). 201–210. 21 indexed citations
17.
Hardin, Douglas P., et al.. (1992). Multiresolution analyses and fractal functions. Journal of Approximation Theory. 71. 7 indexed citations
18.
Hardin, Douglas P., et al.. (1992). Multiresolution analyses based on fractal functions. Journal of Approximation Theory. 71(1). 104–120. 34 indexed citations
19.
Massopust, Peter. (1990). Fractal surfaces. Journal of Mathematical Analysis and Applications. 151(1). 275–290. 93 indexed citations
20.
Hardin, Douglas P. & Peter Massopust. (1986). The capacity for a class of fractal functions. Communications in Mathematical Physics. 105(3). 455–460. 45 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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