M. Calvo

1.3k total citations
67 papers, 967 citations indexed

About

M. Calvo is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, M. Calvo has authored 67 papers receiving a total of 967 indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Numerical Analysis, 33 papers in Computational Mechanics and 23 papers in Computational Theory and Mathematics. Recurrent topics in M. Calvo's work include Numerical methods for differential equations (52 papers), Advanced Numerical Methods in Computational Mathematics (25 papers) and Matrix Theory and Algorithms (23 papers). M. Calvo is often cited by papers focused on Numerical methods for differential equations (52 papers), Advanced Numerical Methods in Computational Mathematics (25 papers) and Matrix Theory and Algorithms (23 papers). M. Calvo collaborates with scholars based in Spain, Germany and Belgium. M. Calvo's co-authors include J.I. Montijano, L. Rández, J.M. Franco, A. Elipe, S. González‐Pinto, Rolf Dieter Grigorieff, Laurent O. Jay, Luigi Brugnano, Gustaf Söderlind and F.J. Lisbona and has published in prestigious journals such as Journal of Computational Physics, Monthly Notices of the Royal Astronomical Society and Computer Physics Communications.

In The Last Decade

M. Calvo

65 papers receiving 908 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
M. Calvo Spain 18 789 435 311 253 149 67 967
L. Rández Spain 21 1000 1.3× 528 1.2× 385 1.2× 345 1.4× 185 1.2× 69 1.2k
Ewa Weinmüller Austria 19 659 0.8× 238 0.5× 256 0.8× 62 0.2× 123 0.8× 98 922
Marco Caliari Italy 18 413 0.5× 357 0.8× 286 0.9× 107 0.4× 154 1.0× 54 989
Pierluigi Amodio Italy 20 536 0.7× 277 0.6× 406 1.3× 173 0.7× 97 0.7× 74 889
Heping Ma China 19 632 0.8× 592 1.4× 254 0.8× 160 0.6× 183 1.2× 69 1.2k
Mengzhao Qin China 15 734 0.9× 326 0.7× 100 0.3× 278 1.1× 373 2.5× 45 976
Yingda Cheng United States 19 429 0.5× 872 2.0× 69 0.2× 256 1.0× 143 1.0× 67 1.2k
Olavi Nevanlinna Finland 19 997 1.3× 585 1.3× 805 2.6× 265 1.0× 101 0.7× 77 1.5k
J. H. Verner Canada 12 339 0.4× 169 0.4× 159 0.5× 152 0.6× 81 0.5× 28 532
Donato Trigiante Italy 24 1.3k 1.7× 669 1.5× 565 1.8× 461 1.8× 216 1.4× 81 1.6k

Countries citing papers authored by M. Calvo

Since Specialization
Citations

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

Fields of papers citing papers by M. Calvo

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of M. Calvo

This figure shows the co-authorship network connecting the top 25 collaborators of M. Calvo. A scholar is included among the top collaborators of M. Calvo 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 M. Calvo. M. Calvo 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.
Calvo, M., J.I. Montijano, & L. Rández. (2025). Modified Singly-Runge–Kutta-TASE Methods for the Numerical Solution of Stiff Differential Equations. Journal of Scientific Computing. 103(1). 1 indexed citations
2.
Calvo, M., et al.. (2023). Explicit two-step peer methods with reused stages. Applied Numerical Mathematics. 195. 75–88. 2 indexed citations
3.
Calvo, M., Lin Fu, J.I. Montijano, & L. Rández. (2023). Singly TASE Operators for the Numerical Solution of Stiff Differential Equations by Explicit Runge–Kutta Schemes. Journal of Scientific Computing. 96(1). 7 indexed citations
4.
Montijano, J.I., et al.. (2014). Functionally Fitted Explicit Two Step Peer Methods. Journal of Scientific Computing. 64(3). 938–958. 2 indexed citations
5.
Brugnano, Luigi, M. Calvo, J.I. Montijano, & L. Rández. (2012). Energy-preserving methods for Poisson systems. Journal of Computational and Applied Mathematics. 236(16). 3890–3904. 36 indexed citations
6.
Calvo, M., J.M. Franco, J.I. Montijano, & L. Rández. (2011). On some new low storage implementations of time advancing Runge–Kutta methods. Journal of Computational and Applied Mathematics. 236(15). 3665–3675. 50 indexed citations
7.
Calvo, M., J.M. Franco, J.I. Montijano, & L. Rández. (2008). Sixth-order symmetric and symplectic exponentially fitted Runge–Kutta methods of the Gauss type. Journal of Computational and Applied Mathematics. 223(1). 387–398. 77 indexed citations
8.
Calvo, M., J.M. Franco, J.I. Montijano, & L. Rández. (2007). Structure preservation of exponentially fitted Runge–Kutta methods. Journal of Computational and Applied Mathematics. 218(2). 421–434. 75 indexed citations
9.
Calvo, M., S. González‐Pinto, & J.I. Montijano. (2007). Global error estimation based on the tolerance proportionality for some adaptive Runge–Kutta codes. Journal of Computational and Applied Mathematics. 218(2). 329–341. 12 indexed citations
10.
Calvo, M., J.M. Franco, & L. Rández. (2003). Minimum storage Runge-Kutta schemes for computational acoustics. Computers & Mathematics with Applications. 45(1-3). 535–545. 17 indexed citations
11.
Calvo, M., et al.. (2000). On the numerical integration of orthogonal flows with Runge–Kutta methods. Journal of Computational and Applied Mathematics. 115(1-2). 121–135. 3 indexed citations
12.
Calvo, M., J.I. Montijano, & S. González‐Pinto. (1999). On the existence of solution of stage equations in implicit Runge–Kutta methods. Journal of Computational and Applied Mathematics. 111(1-2). 25–36. 3 indexed citations
13.
Calvo, M., J.M. Franco, J.I. Montijano, & L. Rández. (1996). Explicit Runge-Kutta methods for initial value problems with oscillating solutions. Journal of Computational and Applied Mathematics. 76(1-2). 195–212. 22 indexed citations
14.
Calvo, M., J.I. Montijano, & L. Rández. (1994). A polyvalent Runge-Kutta triple. Applied Numerical Mathematics. 15(1). 13–26. 2 indexed citations
15.
Calvo, M., J.I. Montijano, & L. Rández. (1993). A0-stability of variable stepsize BDF methods. Journal of Computational and Applied Mathematics. 45(1-2). 29–39. 8 indexed citations
16.
Calvo, M., J.I. Montijano, & L. Rández. (1990). A fifth-order interpolant for the Dormand and Prince Runge-Kutta method. Journal of Computational and Applied Mathematics. 29(1). 91–100. 27 indexed citations
17.
Calvo, M., J.I. Montijano, & L. Rández. (1990). A new embedded pair of Runge-Kutta formulas of orders 5 and 6. Computers & Mathematics with Applications. 20(1). 15–24. 20 indexed citations
18.
Calvo, M., et al.. (1990). On the zero stability of the variable order variable stepsize BDF-Formulas. Numerische Mathematik. 57(1). 39–50. 20 indexed citations
19.
Calvo, M., F.J. Lisbona, & J.I. Montijano. (1987). On the Stability of Variable-Stepsize Nordsieck BDF Methods. SIAM Journal on Numerical Analysis. 24(4). 844–854. 17 indexed citations
20.
Calvo, M., et al.. (1982). On the stability of rational Runge Kutta methods. Journal of Computational and Applied Mathematics. 8(4). 289–292. 9 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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