Andreas Prohl

3.0k total citations
88 papers, 2.0k citations indexed

About

Andreas Prohl is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Finance. According to data from OpenAlex, Andreas Prohl has authored 88 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Computational Mechanics, 42 papers in Computational Theory and Mathematics and 17 papers in Finance. Recurrent topics in Andreas Prohl's work include Advanced Numerical Methods in Computational Mathematics (43 papers), Advanced Mathematical Modeling in Engineering (41 papers) and Stochastic processes and financial applications (17 papers). Andreas Prohl is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (43 papers), Advanced Mathematical Modeling in Engineering (41 papers) and Stochastic processes and financial applications (17 papers). Andreas Prohl collaborates with scholars based in Germany, United States and United Kingdom. Andreas Prohl's co-authors include Xiaobing Feng, Sören Bartels, Martin Kružík, Markus Schmuck, Ľubomír Baňas, Zdzisław Brzeźniak, Roland Becker, Michael Růžička, Joy Ko and Matthias K. Gobbert and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and SIAM Review.

In The Last Decade

Andreas Prohl

87 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Andreas Prohl Germany 24 1.2k 846 523 435 238 88 2.0k
Zhonghua Qiao Hong Kong 27 1.5k 1.2× 675 0.8× 1.4k 2.6× 1.0k 2.3× 190 0.8× 89 2.5k
Augusto Visintin Italy 24 599 0.5× 1.3k 1.5× 651 1.2× 138 0.3× 424 1.8× 98 2.7k
R. A. Nicolaides United States 27 1.6k 1.4× 765 0.9× 213 0.4× 425 1.0× 97 0.4× 70 2.2k
Francisco Guillén‐González Spain 19 586 0.5× 346 0.4× 399 0.8× 160 0.4× 331 1.4× 91 1.2k
Robert Dautray France 15 473 0.4× 707 0.8× 59 0.1× 174 0.4× 484 2.0× 34 1.8k
Luc Tartar United States 20 804 0.7× 1.8k 2.1× 160 0.3× 262 0.6× 1.8k 7.4× 48 3.2k
Michelle Schatzman France 23 301 0.2× 854 1.0× 161 0.3× 238 0.5× 354 1.5× 68 1.7k
Helmut Harbrecht Switzerland 24 753 0.6× 670 0.8× 104 0.2× 199 0.5× 111 0.5× 128 1.9k
Jiang Yang China 19 1.2k 1.0× 570 0.7× 1.3k 2.6× 1.0k 2.4× 106 0.4× 41 2.3k
Andrea Braides Italy 24 837 0.7× 1.9k 2.2× 519 1.0× 151 0.3× 752 3.2× 134 3.2k

Countries citing papers authored by Andreas Prohl

Since Specialization
Citations

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

Fields of papers citing papers by Andreas Prohl

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Andreas Prohl

This figure shows the co-authorship network connecting the top 25 collaborators of Andreas Prohl. A scholar is included among the top collaborators of Andreas Prohl 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 Andreas Prohl. Andreas Prohl 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.
Breit, Dominic & Andreas Prohl. (2024). Weak error analysis for the stochastic Allen–Cahn equation. Stochastic Partial Differential Equations Analysis and Computations. 12(4). 2181–2245. 2 indexed citations
2.
Prohl, Andreas, et al.. (2023). A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems. Numerische Mathematik. 153(4). 827–884. 2 indexed citations
3.
Breit, Dominic & Andreas Prohl. (2022). Numerical analysis of two-dimensional Navier–Stokes equations with additive stochastic forcing. IMA Journal of Numerical Analysis. 43(3). 1391–1421. 5 indexed citations
4.
Prohl, Andreas, et al.. (2021). A posteriori error estimation and space-time adaptivity for a linear stochastic PDE with additive noise. IMA Journal of Numerical Analysis. 42(2). 1526–1567. 3 indexed citations
5.
Baňas, Ľubomír, et al.. (2021). Numerical approximation of the stochastic Cahn–Hilliard equation near the sharp interface limit. Numerische Mathematik. 147(3). 505–551. 9 indexed citations
6.
Prohl, Andreas, et al.. (2021). An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems. Numerische Mathematik. 149(2). 417–462. 2 indexed citations
7.
Klein, Markus & Andreas Prohl. (2016). Optimal Control for the Thin Film Equation: Convergence of a Multi-Parameter Approach to Track State Constraints Avoiding Degeneracies. Computational Methods in Applied Mathematics. 16(4). 685–702. 2 indexed citations
8.
Klein, Markus, et al.. (2014). Optimal control in evolutionary micromagnetism. IMA Journal of Numerical Analysis. 35(3). 1342–1380. 6 indexed citations
9.
Baňas, Ľubomír, Andreas Prohl, & Marián Slodička. (2012). Numerical scheme for augmented Landau–Lifshitz equation in heat assisted recording. Journal of Computational and Applied Mathematics. 236(18). 4775–4787. 3 indexed citations
10.
Prohl, Andreas, et al.. (2009). Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions. Mathematics of Computation. 79(269). 189–189. 18 indexed citations
11.
Prohl, Andreas & Markus Schmuck. (2008). Convergent discretizations for the Nernst–Planck–Poisson system. Numerische Mathematik. 111(4). 591–630. 55 indexed citations
12.
Becker, Roland, Xiaobing Feng, & Andreas Prohl. (2008). Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow. SIAM Journal on Numerical Analysis. 46(4). 1704–1731. 66 indexed citations
13.
Bartels, Sören & Andreas Prohl. (2007). Stable discretization of scalar and constrained vectorial Perona–Malik equation. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 9(4). 431–453. 8 indexed citations
14.
Bartels, Sören, Joy Ko, & Andreas Prohl. (2007). Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Mathematics of Computation. 77(262). 773–789. 37 indexed citations
15.
Bartels, Sören & Andreas Prohl. (2007). Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Mathematics of Computation. 76(260). 1847–1860. 37 indexed citations
16.
Feng, Xiaobing & Andreas Prohl. (2005). Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 7(1). 1–28. 44 indexed citations
17.
Bartels, Sören, Carsten Carstensen, Petr Plecháč, & Andreas Prohl. (2004). Convergence for stabilisation of degenerately convex minimisation problems. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 6(2). 253–269. 5 indexed citations
18.
Prohl, Andreas. (2001). Computational Micromagnetism. CERN Document Server (European Organization for Nuclear Research). 65 indexed citations
19.
Prohl, Andreas & Michael Růžička. (2001). On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case $p \le 2 $. SIAM Journal on Numerical Analysis. 39(1). 214–249. 18 indexed citations
20.
Gobbert, Matthias K. & Andreas Prohl. (1998). A survey of classical and new finite element methods for the computation of crystalline microstructure. University of Minnesota Digital Conservancy (University of Minnesota). 2 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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