Jens Lorenz

1.5k total citations
52 papers, 928 citations indexed

About

Jens Lorenz is a scholar working on Numerical Analysis, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, Jens Lorenz has authored 52 papers receiving a total of 928 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Numerical Analysis, 20 papers in Applied Mathematics and 18 papers in Control and Systems Engineering. Recurrent topics in Jens Lorenz's work include Stability and Controllability of Differential Equations (17 papers), Navier-Stokes equation solutions (12 papers) and Numerical methods for differential equations (12 papers). Jens Lorenz is often cited by papers focused on Stability and Controllability of Differential Equations (17 papers), Navier-Stokes equation solutions (12 papers) and Numerical methods for differential equations (12 papers). Jens Lorenz collaborates with scholars based in United States, Germany and Brazil. Jens Lorenz's co-authors include Heinz‐Otto Kreiss, Peter E. Kloeden, Wolf‐Jürgen Beyn, Joel Franklin, Thomas Hagstrom, H.- Kreiss, Luca Dieci, Michael Naughton, David F. Griffiths and Robert D. Russell and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and Journal of Physical Oceanography.

In The Last Decade

Jens Lorenz

51 papers receiving 807 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jens Lorenz United States 17 318 299 254 212 191 52 928
Giles Auchmuty United States 19 203 0.6× 200 0.7× 287 1.1× 419 2.0× 186 1.0× 56 854
A. V. Balakrishnan 2 137 0.4× 182 0.6× 227 0.9× 389 1.8× 227 1.2× 2 1.1k
P. L. Sachdev India 19 326 1.0× 223 0.7× 216 0.9× 61 0.3× 164 0.9× 83 1.0k
M. M. Vaĭnberg United States 6 191 0.6× 298 1.0× 385 1.5× 463 2.2× 325 1.7× 8 1.2k
Michela Redivo‐Zaglia Italy 17 198 0.6× 401 1.3× 300 1.2× 462 2.2× 154 0.8× 58 1.1k
Adam M. Oberman Canada 20 355 1.1× 254 0.8× 526 2.1× 405 1.9× 182 1.0× 45 1.3k
L. E. Fraenkel United Kingdom 19 756 2.4× 195 0.7× 669 2.6× 354 1.7× 263 1.4× 62 1.7k
Karl Gustafson United States 20 292 0.9× 105 0.4× 427 1.7× 482 2.3× 440 2.3× 119 1.3k
L. Lopez Italy 19 220 0.7× 376 1.3× 62 0.2× 243 1.1× 41 0.2× 97 1.1k
Gianni Arioli Italy 18 86 0.3× 145 0.5× 414 1.6× 331 1.6× 285 1.5× 55 973

Countries citing papers authored by Jens Lorenz

Since Specialization
Citations

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

Fields of papers citing papers by Jens Lorenz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jens Lorenz

This figure shows the co-authorship network connecting the top 25 collaborators of Jens Lorenz. A scholar is included among the top collaborators of Jens Lorenz 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 Jens Lorenz. Jens Lorenz 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.
Hagstrom, Thomas, et al.. (2019). On two new inequalities for Leray solutions of the Navier-Stokes equations in Rn. Journal of Mathematical Analysis and Applications. 483(1). 123601–123601. 5 indexed citations
2.
Guba, Oksana & Jens Lorenz. (2011). Continuous spectra and numerical eigenvalues. Mathematical and Computer Modelling. 54(11-12). 2616–2622. 4 indexed citations
3.
Beyn, Wolf‐Jürgen & Jens Lorenz. (2008). Nonlinear stability of rotating patterns. Dynamics of Partial Differential Equations. 5(4). 349–400. 11 indexed citations
4.
Nadiga, Balasubramanya, Mark A. Taylor, & Jens Lorenz. (2006). Ocean modelling for climate studies: Eliminating short time scales in long-term, high-resolution studies of ocean circulation. Mathematical and Computer Modelling. 44(9-10). 870–886. 11 indexed citations
5.
Kreiss, Heinz‐Otto & Jens Lorenz. (2004). A priori estimates in terms of the maximum norm for the solutions of the Navier–Stokes equations. Journal of Differential Equations. 203(2). 216–231. 1 indexed citations
6.
Lorenz, Jens, et al.. (2000). Parallel FE approximation of the even/odd-parity form of the linear Boltzmann equation. Mathematical and Computer Modelling. 31(2-3). 55–71. 7 indexed citations
7.
Lorenz, Jens, et al.. (1999). Hyperbolic Systems with Relaxation: Characterization of Stiff Well-Posedness and Asymptotic Expansions. Journal of Mathematical Analysis and Applications. 235(2). 497–532. 2 indexed citations
8.
Dieci, Luca & Jens Lorenz. (1997). Lyapunov-type numbers and torus breakdown: numerical aspects and a case study. Numerical Algorithms. 14(1-3). 79–102. 7 indexed citations
9.
Lorenz, Jens, et al.. (1997). Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems). Advances in Differential Equations. 2(4). 8 indexed citations
10.
Hagstrom, Thomas & Jens Lorenz. (1995). All-Time Existence of Smooth Solutions to PDEs of Mixed Type and the Invariant Subspace of Uniform States. Advances in Applied Mathematics. 16(2). 219–257. 13 indexed citations
11.
Kreiss, Heinz‐Otto & Jens Lorenz. (1994). On the existence of slow manifolds for problems with different timescales. Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences. 346(1679). 159–171. 6 indexed citations
12.
Hagstrom, Thomas & Jens Lorenz. (1993). Boundary conditions and the simulation of low Mach number flows. RWTH Publications (RWTH Aachen). 94. 17448. 3 indexed citations
13.
Dieci, Luca & Jens Lorenz. (1992). Block M-Matrices and Computation of Invariant Tori. SIAM Journal on Scientific and Statistical Computing. 13(4). 885–903. 16 indexed citations
14.
Kreiss, H.-, Jens Lorenz, & Michael Naughton. (1991). Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations. Advances in Applied Mathematics. 12(2). 187–214. 63 indexed citations
15.
Franklin, Joel & Jens Lorenz. (1989). On the scaling of multidimensional matrices. Linear Algebra and its Applications. 114-115. 717–735. 94 indexed citations
16.
Lorenz, Jens & Richard Sanders. (1987). On the Rate of Convergence of Viscosity Solutions for Boundary Value Problems. SIAM Journal on Mathematical Analysis. 18(2). 306–320. 3 indexed citations
17.
Beyn, Wolf‐Jürgen & Jens Lorenz. (1982). Spurious solutions for discrete superlinear boundary value problems. Computing. 28(1). 43–51. 15 indexed citations
18.
Lorenz, Jens. (1981). Nonlinear singular perturbation problems and the Engquist-Osher difference scheme. 10 indexed citations
19.
Lorenz, Jens, et al.. (1979). Toeplitz matrices with totally nonnegative inverses. Linear Algebra and its Applications. 24. 133–141. 5 indexed citations
20.
Bohl, Erich & Jens Lorenz. (1979). Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems. Aequationes Mathematicae. 19(1). 1–36. 10 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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