Katharina Schratz

838 total citations
39 papers, 485 citations indexed

About

Katharina Schratz is a scholar working on Numerical Analysis, Mathematical Physics and Electrical and Electronic Engineering. According to data from OpenAlex, Katharina Schratz has authored 39 papers receiving a total of 485 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Numerical Analysis, 24 papers in Mathematical Physics and 13 papers in Electrical and Electronic Engineering. Recurrent topics in Katharina Schratz's work include Numerical methods for differential equations (31 papers), Advanced Mathematical Physics Problems (24 papers) and Electromagnetic Simulation and Numerical Methods (12 papers). Katharina Schratz is often cited by papers focused on Numerical methods for differential equations (31 papers), Advanced Mathematical Physics Problems (24 papers) and Electromagnetic Simulation and Numerical Methods (12 papers). Katharina Schratz collaborates with scholars based in France, Germany and Austria. Katharina Schratz's co-authors include Alexander Ostermann, Erwan Faou, Frédéric Rousset, Martina Hofmanová, Yvain Bruned, Xiaofei Zhao, Wolfgang Fellin, Martin Mergili, Roland Schnaubelt and Buyang Li and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

Katharina Schratz

35 papers receiving 457 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Katharina Schratz France 12 373 256 163 118 104 39 485
Dionyssios Mantzavinos United States 14 88 0.2× 335 1.3× 34 0.2× 47 0.4× 468 4.5× 32 586
Jue Yan United States 10 509 1.4× 80 0.3× 695 4.3× 117 1.0× 136 1.3× 20 867
Jingye Yan China 11 143 0.4× 22 0.1× 92 0.6× 55 0.5× 22 0.2× 51 402
Bernard Ducomet France 16 67 0.2× 652 2.5× 453 2.8× 42 0.4× 16 0.2× 79 1.0k
Samir Kumar Bhowmik Bangladesh 11 160 0.4× 25 0.1× 82 0.5× 30 0.3× 180 1.7× 37 345
Shinya Nishibata Japan 18 42 0.1× 475 1.9× 347 2.1× 17 0.1× 44 0.4× 33 724
Brenton LeMesurier United States 5 35 0.1× 133 0.5× 51 0.3× 38 0.3× 155 1.5× 14 355
Changna Lu China 9 80 0.2× 17 0.1× 142 0.9× 21 0.2× 133 1.3× 18 342
Mădălina Petcu France 11 103 0.3× 72 0.3× 143 0.9× 22 0.2× 20 0.2× 38 375
Ben Wongsaijai Thailand 13 115 0.3× 56 0.2× 37 0.2× 6 0.1× 226 2.2× 33 341

Countries citing papers authored by Katharina Schratz

Since Specialization
Citations

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

Fields of papers citing papers by Katharina Schratz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Katharina Schratz

This figure shows the co-authorship network connecting the top 25 collaborators of Katharina Schratz. A scholar is included among the top collaborators of Katharina Schratz 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 Katharina Schratz. Katharina Schratz 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.
Schratz, Katharina, et al.. (2025). A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics. Journal of Computational Physics. 529. 113869–113869.
2.
Schratz, Katharina, et al.. (2024). Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation. Numerische Mathematik. 156(4). 1455–1477. 1 indexed citations
3.
Ostermann, Alexander, et al.. (2024). Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation. SIAM Journal on Numerical Analysis. 62(5). 2071–2086. 1 indexed citations
4.
Schratz, Katharina, et al.. (2024). Approximations of Dispersive PDEs in the Presence of Low-Regularity Randomness. Foundations of Computational Mathematics. 24(6). 1819–1869.
5.
Ostermann, Alexander, et al.. (2024). Low regularity error estimates for the time integration of 2D NLS. IMA Journal of Numerical Analysis. 45(4). 2023–2059.
6.
Schratz, Katharina, et al.. (2024). Effective highly accurate time integrators for linear Klein–Gordon equations across the scales. Journal of Numerical Mathematics. 33(2). 105–131. 1 indexed citations
7.
Ju, Lili, et al.. (2023). Low regularity integrators for semilinear parabolic equations with maximum bound principles. BIT Numerical Mathematics. 63(1). 2 indexed citations
8.
Ostermann, Alexander, Frédéric Rousset, & Katharina Schratz. (2022). Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces. Journal of the European Mathematical Society. 25(10). 3913–3952. 19 indexed citations
9.
Rousset, Frédéric, et al.. (2022). Time integrators for dispersive equations in the long wave regime. Mathematics of Computation. 91(337). 2197–2214. 2 indexed citations
10.
Li, Buyang, et al.. (2022). A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations. SIAM Journal on Numerical Analysis. 60(4). 2273–2292. 13 indexed citations
11.
Li, Buyang, et al.. (2022). A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation. ESAIM. Mathematical modelling and numerical analysis. 57(2). 899–919. 1 indexed citations
12.
Schratz, Katharina, et al.. (2020). Asymptotic preserving trigonometric integrators for the quantum Zakharov system. BIT Numerical Mathematics. 61(1). 61–81. 4 indexed citations
13.
Ostermann, Alexander, Frédéric Rousset, & Katharina Schratz. (2019). Error estimates of a Fourier integrator for the cubic Schr\\"odinger\n equation at low regularity. arXiv (Cornell University). 35 indexed citations
14.
Schratz, Katharina, et al.. (2019). Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. Journal of Computational and Applied Mathematics. 387. 112494–112494. 6 indexed citations
15.
Schnaubelt, Roland, et al.. (2016). Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. Journal of Mathematical Analysis and Applications. 442(2). 740–760. 20 indexed citations
16.
Hansen, Eskil, Alexander Ostermann, & Katharina Schratz. (2016). The error structure of the Douglas–Rachford splitting method for stiff linear problems. Journal of Computational and Applied Mathematics. 303. 140–145. 2 indexed citations
17.
Schneider, Guido, et al.. (2016). From the Klein–Gordon–Zakharov system to the Klein–Gordon equation. Mathematical Methods in the Applied Sciences. 39(18). 5371–5380. 7 indexed citations
18.
Schratz, Katharina, et al.. (2016). Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime. Journal of Computational and Applied Mathematics. 316. 247–259. 4 indexed citations
19.
Herr, Sebastian & Katharina Schratz. (2016). Trigonometric time integrators for the Zakharov system. IMA Journal of Numerical Analysis. drw059–drw059. 6 indexed citations
20.
Ostermann, Alexander & Katharina Schratz. (2012). Error analysis of splitting methods for inhomogeneous evolution equations. Applied Numerical Mathematics. 62(10). 1436–1446. 8 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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