Mechthild Thalhammer

1.3k total citations
49 papers, 889 citations indexed

About

Mechthild Thalhammer is a scholar working on Numerical Analysis, Computational Mechanics and Electrical and Electronic Engineering. According to data from OpenAlex, Mechthild Thalhammer has authored 49 papers receiving a total of 889 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Numerical Analysis, 22 papers in Computational Mechanics and 16 papers in Electrical and Electronic Engineering. Recurrent topics in Mechthild Thalhammer's work include Numerical methods for differential equations (39 papers), Advanced Numerical Methods in Computational Mathematics (22 papers) and Electromagnetic Simulation and Numerical Methods (16 papers). Mechthild Thalhammer is often cited by papers focused on Numerical methods for differential equations (39 papers), Advanced Numerical Methods in Computational Mathematics (22 papers) and Electromagnetic Simulation and Numerical Methods (16 papers). Mechthild Thalhammer collaborates with scholars based in Austria, Germany and Spain. Mechthild Thalhammer's co-authors include Alexander Ostermann, Othmar Koch, Marco Caliari, Etienne Emmrich, Stéphane Descombes, Winfried Auzinger, William M. D. Wright, А. Penzkofer, Fernando Casas and Sergio Blanes and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and Computer Physics Communications.

In The Last Decade

Mechthild Thalhammer

45 papers receiving 821 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mechthild Thalhammer Austria 18 592 270 258 200 196 49 889
Mengzhao Qin China 15 734 1.2× 326 1.2× 278 1.1× 62 0.3× 373 1.9× 45 976
Florian Méhats France 18 233 0.4× 221 0.8× 198 0.8× 250 1.3× 222 1.1× 80 960
Songhe Song China 16 543 0.9× 342 1.3× 168 0.7× 34 0.2× 208 1.1× 95 814
Christophe Besse France 11 338 0.6× 120 0.4× 207 0.8× 218 1.1× 239 1.2× 17 683
L. Vozovoi Israel 10 243 0.4× 255 0.9× 119 0.5× 120 0.6× 79 0.4× 24 633
Olavi Nevanlinna Finland 19 997 1.7× 585 2.2× 265 1.0× 94 0.5× 101 0.5× 77 1.5k
Takayasu Matsuo Japan 17 565 1.0× 227 0.8× 78 0.3× 58 0.3× 314 1.6× 59 851
Masaaki Sugihara Japan 18 505 0.9× 149 0.6× 74 0.3× 165 0.8× 95 0.5× 61 953
Yingda Cheng United States 19 429 0.7× 872 3.2× 256 1.0× 66 0.3× 143 0.7× 67 1.2k
Christophe Besse France 13 259 0.4× 133 0.5× 381 1.5× 286 1.4× 174 0.9× 28 698

Countries citing papers authored by Mechthild Thalhammer

Since Specialization
Citations

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

Fields of papers citing papers by Mechthild Thalhammer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mechthild Thalhammer

This figure shows the co-authorship network connecting the top 25 collaborators of Mechthild Thalhammer. A scholar is included among the top collaborators of Mechthild Thalhammer 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 Mechthild Thalhammer. Mechthild Thalhammer 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.
Blanes, Sergio, et al.. (2024). Symmetric-conjugate splitting methods for evolution equations of parabolic type. Repositori UJI (Universitat Jaume I). 11(1). 108–134.
2.
Blanes, Sergio, et al.. (2023). Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. Computer Physics Communications. 295. 109007–109007.
3.
4.
Blanes, Sergio, Fernando Casas, & Mechthild Thalhammer. (2019). Splitting and composition methods with embedded error estimators. Applied Numerical Mathematics. 146. 400–415. 3 indexed citations
5.
Blanes, Sergio, Fernando Casas, & Mechthild Thalhammer. (2017). High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Computer Physics Communications. 220. 243–262. 26 indexed citations
6.
Koch, Othmar, et al.. (2016). Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation. Phaidra (Universität Wien). 8 indexed citations
7.
Auzinger, Winfried, et al.. (2015). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. 273. 182–204. 7 indexed citations
8.
Chartier, Philippe, Florian Méhats, Mechthild Thalhammer, & Yong Zhang. (2015). Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Mathematics of Computation. 85(302). 2863–2885. 33 indexed citations
9.
Auzinger, Winfried, Othmar Koch, & Mechthild Thalhammer. (2013). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems. Journal of Computational and Applied Mathematics. 255. 384–403. 15 indexed citations
10.
Gwinner, Joachim & Mechthild Thalhammer. (2013). Full Discretisations for Nonlinear Evolutionary Inequalities Based on Stiffly Accurate Runge–Kutta and hp-Finite Element Methods. Foundations of Computational Mathematics. 14(5). 913–949. 3 indexed citations
11.
Auzinger, Winfried, Othmar Koch, & Mechthild Thalhammer. (2012). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. Journal of Computational and Applied Mathematics. 236(10). 2643–2659. 14 indexed citations
12.
13.
Thalhammer, Mechthild, et al.. (2012). A numerical study of adaptive space and time discretisations for Gross–Pitaevskii equations. Journal of Computational Physics. 231(20). 6665–6681. 21 indexed citations
14.
Thalhammer, Mechthild. (2012). Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations. SIAM Journal on Numerical Analysis. 50(6). 3231–3258. 70 indexed citations
15.
Emmrich, Etienne & Mechthild Thalhammer. (2011). Doubly nonlinear evolution equations of second order: Existence and fully discrete approximation. Journal of Differential Equations. 251(1). 82–118. 16 indexed citations
16.
Emmrich, Etienne & Mechthild Thalhammer. (2009). Stiffly accurate Runge–Kutta methods for nonlinear evolution problems governed by a monotone operator. Mathematics of Computation. 79(270). 785–806. 13 indexed citations
17.
Caliari, Marco, et al.. (2008). A minimisation approach for computing the ground state of Gross–Pitaevskii systems. Journal of Computational Physics. 228(2). 349–360. 39 indexed citations
18.
Thalhammer, Mechthild. (2006). A fourth-order commutator-free exponential integrator for nonautonomous differential equations. SIAM Journal on Numerical Analysis. 44(2). 851–864. 19 indexed citations
19.
Ostermann, Alexander, et al.. (2005). A second-order Magnus-type integrator for nonautonomous parabolic problems. Journal of Computational and Applied Mathematics. 189(1-2). 142–156. 19 indexed citations
20.
Ostermann, Alexander & Mechthild Thalhammer. (2002). Convergence of Runge–Kutta methods for nonlinear parabolic equations. Applied Numerical Mathematics. 42(1-3). 367–380. 27 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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