J. M. Sanz‐Serna

8.1k total citations · 1 hit paper
142 papers, 5.4k citations indexed

About

J. M. Sanz‐Serna is a scholar working on Numerical Analysis, Computational Mechanics and Statistical and Nonlinear Physics. According to data from OpenAlex, J. M. Sanz‐Serna has authored 142 papers receiving a total of 5.4k indexed citations (citations by other indexed papers that have themselves been cited), including 92 papers in Numerical Analysis, 55 papers in Computational Mechanics and 50 papers in Statistical and Nonlinear Physics. Recurrent topics in J. M. Sanz‐Serna's work include Numerical methods for differential equations (80 papers), Advanced Numerical Methods in Computational Mathematics (47 papers) and Differential Equations and Numerical Methods (28 papers). J. M. Sanz‐Serna is often cited by papers focused on Numerical methods for differential equations (80 papers), Advanced Numerical Methods in Computational Mathematics (47 papers) and Differential Equations and Numerical Methods (28 papers). J. M. Sanz‐Serna collaborates with scholars based in Spain, United States and United Kingdom. J. M. Sanz‐Serna's co-authors include M. P. Calvo, J.G. Verwer, I. Christie, Javier de Frutos, Ander Murua, Robert D. Skeel, L.M. Abia, David F. Griffiths, Bosco Garcı́a-Archilla and Andrew M. Stuart and has published in prestigious journals such as The Journal of Chemical Physics, Langmuir and Journal of Computational Physics.

In The Last Decade

J. M. Sanz‐Serna

138 papers receiving 4.8k citations

Hit Papers

1 papers align trajectories

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.

Numerical Hamiltonian Problems

1994 948 citations J. M. Sanz‐Serna, M. P. Calvo profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
J. M. Sanz‐Serna Spain	38	3.5k	1.9k	1.7k	990	955	142	5.4k
Ernst Hairer Switzerland	12	3.0k 0.8×	1.8k 0.9×	906 0.5×	1.1k 1.1×	1.3k 1.3×	32	5.4k
Sebastian Reich Germany	34	1.8k 0.5×	1.2k 0.6×	1.1k 0.7×	571 0.6×	423 0.4×	133	4.5k
Arieh Iserles United Kingdom	36	2.8k 0.8×	1.1k 0.6×	881 0.5×	621 0.6×	1.1k 1.1×	184	5.1k
Christian Lubich Germany	43	6.0k 1.7×	3.4k 1.8×	2.3k 1.4×	2.2k 2.3×	2.4k 2.5×	126	11.0k
Tao Tang China	46	3.5k 1.0×	3.5k 1.9×	761 0.5×	419 0.4×	1.5k 1.6×	237	8.0k
Peter Henrici United States	27	2.4k 0.7×	1.2k 0.6×	634 0.4×	726 0.7×	2.2k 2.3×	80	6.4k
Ian H. Sloan Australia	47	3.9k 1.1×	1.6k 0.9×	430 0.3×	478 0.5×	1.4k 1.5×	266	7.8k
Walter Gautschi United States	34	2.0k 0.6×	720 0.4×	757 0.5×	590 0.6×	1.7k 1.8×	214	6.4k
Marlis Hochbruck Germany	22	2.4k 0.7×	1.3k 0.7×	573 0.3×	833 0.8×	1.3k 1.3×	67	3.4k
Shi Jin United States	43	1.1k 0.3×	3.8k 2.0×	1.1k 0.6×	625 0.6×	651 0.7×	254	6.8k

Countries citing papers authored by J. M. Sanz‐Serna

Since Specialization

Citations

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

Fields of papers citing papers by J. M. Sanz‐Serna

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. M. Sanz‐Serna. 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 J. M. Sanz‐Serna. The network helps show where J. M. Sanz‐Serna may publish in the future.

Co-authorship network of co-authors of J. M. Sanz‐Serna

This figure shows the co-authorship network connecting the top 25 collaborators of J. M. Sanz‐Serna. A scholar is included among the top collaborators of J. M. Sanz‐Serna 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 J. M. Sanz‐Serna. J. M. Sanz‐Serna is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Casas, Fernando, et al.. (2023). A New Optimality Property of Strang’s Splitting. SIAM Journal on Numerical Analysis. 61(3). 1369–1385. 1 indexed citations

Sanz‐Serna, J. M., et al.. (2018). A stroboscopic averaging algorithm for highly oscillatory delay problems. IMA Journal of Numerical Analysis. 39(3). 1110–1133. 2 indexed citations

Sanjuán, Miguel A. F., et al.. (2017). Bogdanov–Takens resonance in time-delayed systems. BURJC Digital (King Juan Carlos University). 9 indexed citations

Sanz‐Serna, J. M., et al.. (2016). A Technique for Studying Strong and Weak Local Errors of Splitting Stochastic Integrators. SIAM Journal on Numerical Analysis. 54(6). 3239–3257. 10 indexed citations

Beskos, Alexandros, F. J. Pinski, J. M. Sanz‐Serna, & Andrew M. Stuart. (2011). Hybrid Monte Carlo on Hilbert spaces. Stochastic Processes and their Applications. 121(10). 2201–2230. 59 indexed citations

Sanz‐Serna, J. M.. (2008). Matemáticas y medicina. 11(4). 665–678.

Sanz‐Serna, J. M., et al.. (1993). Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems. Mathematics of Computation. 60(202). 617–617. 3 indexed citations

Abia, L.M. & J. M. Sanz‐Serna. (1993). Partitioned Runge-Kutta methods for separable Hamiltonian problems. Mathematics of Computation. 60(202). 617–634. 37 indexed citations

Calvo, M. P. & J. M. Sanz‐Serna. (1993). High-Order Symplectic Runge–Kutta–Nyström Methods. SIAM Journal on Scientific Computing. 14(5). 1237–1252. 51 indexed citations

10.

Eirola, Timo & J. M. Sanz‐Serna. (1992). Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods. Numerische Mathematik. 61(1). 281–290. 32 indexed citations

11.

Verwer, J.G., Joke Blom, & J. M. Sanz‐Serna. (1988). An adaptive moving grid method for one-dimensional systems of partial differential equations. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 1–27. 1 indexed citations

12.

Blom, Joke, J. M. Sanz‐Serna, & J.G. Verwer. (1987). A Lagrangian moving grid scheme for one-dimensional evolutionary partial differential equations. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 247–255. 5 indexed citations

13.

Sanz‐Serna, J. M. & J.G. Verwer. (1986). Stability and convergence in the PDE/stiff ODE interphase. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 1–14. 1 indexed citations

14.

Blom, Joke, J. M. Sanz‐Serna, & J.G. Verwer. (1986). On simple moving grid methods for one-dimensional evolutionary partial differential equations. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 1–19. 4 indexed citations

15.

Sanz‐Serna, J. M., J.G. Verwer, & Willem Hundsdorfer. (1986). Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations. Numerische Mathematik. 50(4). 405–418. 87 indexed citations

16.

Sanz‐Serna, J. M., et al.. (1986). Studies in numerical nonlinear instability. II. A new look at ut + uux = 0. Journal of Computational Physics. 66(1). 225–238. 15 indexed citations

17.

Sanz‐Serna, J. M. & C. Palencia. (1985). A General Equivalence Theorem in the Theory of Discretization Methods. Mathematics of Computation. 45(171). 143–143. 7 indexed citations

18.

Sanz‐Serna, J. M.. (1984). Methods for the Numerical Solution of the Nonlinear Schroedinger Equation. Mathematics of Computation. 43(167). 21–21. 5 indexed citations

19.

Verwer, J.G. & J. M. Sanz‐Serna. (1984). Convergence of method of lines approximations to partial differential equations. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 1–14. 4 indexed citations

20.

Palencia, C. & J. M. Sanz‐Serna. (1984). An extension of the Lax-Richtmyer theory. Numerische Mathematik. 44(2). 279–283. 19 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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