MARIA INMACULADA HIGUERAS SANZ
Catedrático Universidad

• Departamento: ESTADÍSTICA, INFORMÁTICA Y MATEMÁTICAS
• Área de conocimiento: Matemática Aplicada
• e-mail: higuerasunavarra.es
• Teléfono: (+34) 948 16 9526 (ext. 9526)
•   EDIFICIO LAS ENCINAS - DESPACHO 0010 - P.BAJA

• Breve CV
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Información adicional

List of publications

1. Co-editor of monographs

1. I. Higueras, T. Roldán, J.J. Torrens (editors), Numerical Simulation in Physics and Engineering. Lecture Notes of the XVI 'Jacques-Louis Lions' Spanish-French School, 251 pp, SEMA SIMAI Springer Series Vol 9, ISBN 978-3-319-32145-5 (hard cover), 978-3-319-32146-2 (eBook), Springer. https://www.springer.com/gp/book/9783319321455

2. Publications in peer-reviewed journals

2.1 Appeared

1. I. Higueras, T. Roldán, Strong stability preserving properties of composition Runge-Kutta schemes, Journal of Scientific Computing 80 (2), pp. 784-807 (2019). https://doi.org/10.1007/s10915-019-00956-9
2. I. Higueras, T. Roldán, New third order low-storage SSP explicit Runge-Kutta methods, Journal of Scientific Computing 79 (3), pp. 1882-1906 (2019). https://doi.org/10.1007/s10915-019-00916-3
3. I. Higueras, D.I. Ketcheson, T.A. Kocsis, Optimal monotonicity-preserving perturbations of a given Runge-Kutta method, Journal of Scientific Computing 76 (3), pp. 133-1369 (2018). https://doi.org/10.1007/s10915-018-0664-3
4. I. Higueras, T. Roldán, Order barrier for low-storage DIRK methods with positive weights, Journal of Scientific Computing 75 (1), pp. 395-404 (2018). https://doi.org/10.1007/s10915-017-0540-6
5. I. Higueras, T. Roldán, Construction of additive semi-implicit Runge-Kutta methods with Low-Storage requirements, Journal of Scientific Computing 67(3), pp- 1019-1042 (2015). https://doi.org/10.1007/s10915-015-0116-2
6. I. Higueras, F. Kupka, N. Happenhofer, O. Koch, Optimized Strong Stability Preserving IMEX Runge-Kutta methods, Journal of Computational and Applied Mathematics 272, 116-140 (2014). https://doi.org/10.1016/j.cam.2014.05.011
7. I. Higueras, Strong Stability for Runge-Kutta Schemes on a Class of Nonlinear Problems, Journal of Scientific Computing, 57(3), pp. 518-535 (2013). https://doi.org/10.1007/s10915-013-9715-y
8.  F. Kupka, N. Happenhofer,I. Higueras, O. Koch, Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics, Journal of Computational Physics 231, pp. 3561-3586 (2012). https://doi.org/10.1016/j.jcp.2011.12.031
9. R. Donat,I. Higueras, A. Martínez-Gavara, On stability issues for IMEX schemes applied to 1D scalar hyperbolic equations with stiff reaction terms, Mathematics of Computation 276, 2097-2126 (2011).https://doi.org/10.1090/S0025-5718-2011-02463-4
10. I. Higueras, J.M. Mantas, T. Roldán, Design and implementation of predictors for additive semi-implicit Runge-Kutta methods, SIAM Journal on Scientific Computing 31, pp. 2131--2150 (2009). https://doi.org/10.1137/070710160
11. I. Higueras, Characterizing Strong Stability Preserving additive Runge-Kutta methods, Journal of Scientific Computing 39(1), pp. 115-128 (2009). https://doi.org/10.1007/s10915-008-9252-2
12. I. Higueras, Strong stability for additive Runge-Kutta methods, SIAM Journal on Numerical Analysis 44, pp. 1735-1758 (2006). https://doi.org/10.1137/040612968
13. B. García-Celayeta, Higueras, T. Roldán, Contractivity/monotonicity for additive Runge-Kutta methods: inner product norms, Applied Numerical Mathematics 56, pp. 862-878 (2006). https://doi.org/10.1016/j.apnum.2005.07.001
14. I. Higueras, T. Roldán, Stage value predictors for additive and partitioned Runge-Kutta methods, Applied Numerical Mathematics 56, pp. 1-18 (2006). https://doi.org/10.1016/j.apnum.2005.01.003
15. I. Higueras, J.A. Moler, F. Plo, M. San Miguel, Central Limit Theorems for Generalized Pólya Urn Models, Journal of Applied Probability 43, pp. 938-951 (2005). https://doi.org/10.1239/jap/1165505199
16. I. Higueras, Representations of Runge-Kutta methods and strong stability preserving methods, SIAM Journal on Numerical Analysis 43, pp. 924-948 (2005). https://doi.org/10.1137/S0036142903427068
17. I. Higueras, Monotonicity of Runge-Kutta methods: inner product norms, Journal of Scientific Computing 24 (1), pp. 97-117 (2005). https://doi.org/10.1007/s10915-004-4789-1
18. I. Higueras, T. Roldán, Starting algorithms for a class of RK methods for index-2 DAEs, Computers and Mathematics with Applications 49, pp. 1081-1099 (2005). https://doi.org/10.1016/S0168-9274(02)00216-7
19. I. Higueras, On strong stability preserving time discretization methods, Journal of Scientific Computing 21(2), pp. 193-223 (2004). https://doi.org/10.1023/B:JOMP.0000030075.59237.61
20. I. Higueras, R. März, Differential algebraic equations with properly stated leading terms, Computers and Mathematics with Applications 48, pp. 215-235 (2004). https://doi.org/10.1016/j.camwa.2003.05.010
21. I. Higueras, J.A. Moler, F. Plo, M. San Miguel, Urn models and differential algebraic equations, Journal of Applied Probability 40, pp. 1-12 (2003). http://www.jstor.org/stable/3215799
22. I. Higueras, R. März, C. Tischendorf, Stability preserving integration of index-2 DAEs, Applied Numerical Mathematics, Vol. 45(2-3), pp. 201-229 (2003). https://doi.org/10.1016/S0168-9274(02)00216-7
23. I. Higueras, R. März, C. Tischendorf, Stability preserving integration of index-1 DAEs, Applied Numerical Mathematics, Vol. 45(2-3), pp. 175-200 (2003). https://doi.org/10.1016/S0168-9274(02)00215-5
24. I. Higueras, T. Roldán, IRK methods for index-2 and 3 DAEs: starting algorithms, BIT 43, pp. 67-92 (2003). https://doi.org/10.1023/A:1023640704609
25. I. Higueras, G. Söderlind, Logarithmic norms and nonlinear DAE stability, BIT 42, pp. 823-841 (2002). https://doi.org/10.1023/A:1021956621531
26. I. Gómez,I. Higueras, T. Roldán, Starting algorithms for low stage order RKN methods, Journal of Computational and Applied Mathematics 140, pp. 345-367 (2002). https://doi.org/10.1016/S0377-0427(01)00479-4
27. I. Higueras, Numerical methods for stiff index-3 DAEs, Mathematical and Computer Modelling of Dynamical Systems 7(2), pp. 239-262 (2001). https://doi.org/10.1076/mcmd.7.2.239.3648
28. I. Higueras, T. Roldán, Starting algorithms for some DIRK methods, Numerical algorithms 23, pp. 357-369 (2000). https://doi.org/10.1023/A:1019112419829
29. I. Higueras, B. García-Celayeta, How close can the logarithmic norm of a matrix pencil come to the spectral abscissa, SIAM J. Matrix Analysis and Applications 22, pp. 472-478 (2000). https://doi.org/10.1137/S0895479898346296
30. T. Roldán,I. Higueras, IRK methods for DAEs: starting algorithms, Journal of Computational and Applied Mathematics 11(1-2), pp. 77-92 (1999). https://doi.org/10.1016/S0377-0427(99)00133-8
31. I. Higueras, B. García-Celayeta, Runge-Kutta methods for DAEs. A new approach, Journal of Computational and Applied Mathematics 11(1-2), pp. 49-62 (1999). https://doi.org/10.1016/S0377-0427(99)00131-4
32. I. Higueras, B. García-Celayeta, Logarithmic norms for matrix pencils, SIAM J. Matrix Analysis and Applications 20(3), pp. 646-666 (1999). https://doi.org/10.1137/S0895479897325955
33. I. Higueras, On simplifying assumptions of Runge-Kutta methods for index 2 differential algebraic problems, Computing 54, pp. 185-190 (1995). https://doi.org/10.1007/BF02238131
34. I. Higueras, Runge-Kutta schemes that maintain invariant solutions for differential algebraic systems, BIT 34, pp. 361-366 (1994). https://doi.org/10.1007/BF01935645
35. I. Higueras, Coefficients of the Taylor expansion for the solution of differential algebraic systems, Applied Numerical Mathematics 12, pp. 497-501 (1993). https://doi.org/10.1016/0168-9274(93)90066-Z

2.2 To appear

1. I. Higueras, T. Roldán, Efficient SSP Low-Storage Runge-Kutta methods, Journal of Computational and Applied Mathematics, 16 pp. (2021). https://doi.org/10.1016/j.cam.2019.112500

3. Conference reports

3.1 Peer-reviewed conference reports

1. F. Kupka, H. Grimm-Strele, N. Happenhofer,I. Higueras, O. Koch, H.J. Muthsam, Improved Time Integration for WENO Methods in Astrophysical Applications, in 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013), edts. N.V. Pogorelov, E. Audit, G.P. Zank, Astron. Soc. Pacific Conf. Ser. Vol. 488, 243-248, San Francisco (2014), online access at http://aspbooks.org/a/volumes/table_of_contents/488, online freely available at http://aspbooks.org/a/volumes/article_details/?paper_id=36556

3.2 Reviewed conference reports

1. I. Higueras, T. Roldán, On the performance of low-storage additive Runge-Kutta methods, Proceedings XIII International Conference Zaragoza-Pau on Mathematics and its applications (Jaca, Spain, 2014), Monografías del Seminario Matemático García de Galdeano 40, pp. 77-86 (2016). http://pcmap.unizar.es/~jaca2018/actas_ZP_14_b.htm
2. R. Donat,I. Higueras, A. Martinez-Gavara, Some Theoretical Results About Stability for IMEX Schemes Applied to Hyperbolic Equations with Stiff Reaction Terms . In: Kreiss G., Lötstedt P., Malqvist A., Neytcheva M. (editors). Numerical Mathematics and Advanced Applications 2009, Springer, Berlin, Heidelberg, pp- 277-285 (2010). https://doi.org/10.1007/978-3-642-11795-4_29
3. I. Higueras, T. Roldán, Positivity-preserving and entropy-decaying IMEX methods, Proceedings IX International Conference Zaragoza-Pau on Applied Mathematics, (Jaca, Spain, 2005), Monografías del Seminario Matemático García de Galdeano 33, pp. 129-136 (2006).

3.3 Non-reviewed conference reports

1. I. Higueras, T. Roldán, On the necessity of negative coefficients for high order DIRK Low-storage methods, Proceedings of the XXV Congress on Differential Equations and Applications/XV Congress on Applied Mathematics (Cartagena, Spain, 2017), pp. 668-673 (2015), ISBN: 978-84-944402-1-2.
2. I. Higueras, T. Roldán, Implicit-explicit Runge-Kutta methods with low-storage requirements, Proceedings of the XXIV Congress on Differential Equations and Applications/XIV Congress on Applied Mathematics (Cádiz, Spain, 2015), pp. 65-70 (2015), ISBN: 978-84-9828-527-7, http://cedya2015.uca.es/cedya2015proceedings
3. I. Higueras, Efficient strong stability preserving IMEX Runge-Kutta methods, Proceedings of the XXIV Congress on Differential Equations and Applications/XIV Congress on Applied Mathematics (Cádiz, Spain, 2015), pp. 91-97 (2015), ISBN: 978-84-9828-527-7, http://cedya2015.uca.es/cedya2015proceedings
4. I. Higueras, Positivity properties for the classical fourth order Runge-Kutta method, Proceedings of the MCalvo6(5) Conference (Zaragoza, Spain, 2009). Monografías de la Real Academia de Ciencias de Zaragoza 33, pp. 125-139 (2010).
5. I. Higueras, T. Roldán, Positivity and entropy-diminishing time stepping methods, Proceedings XIX Congreso de Ecuaciones Diferenciales y Aplicaciones/IX Congreso de Matemática Aplicada (Leganés, Spain, 2005). CD electronic edition, ISBN: 84-689-7726-8.
6. I. Higueras, T. Roldán, Consistency of a class of RK methods for index-2 DAEs, Proceedings VIII International Conference Zaragoza-Pau on Applied Mathematics, (Jaca, Spain, 2003), Monografías del Seminario Matemático García de Galdeano 31, pp. 179-189 (2004), ISBN: 84-7733-720-9
7. I. Higueras, T. Roldán, Starting algorithms for partitioned Runge-Kutta methods: the pair Lobatto IIIA-IIIB, Proceedings VI Jornadas de Mecánica Celeste (Bértiz, julio 2003). Monografías de la Real Academia de Ciencias de Zaragoza 25, pp. 149-158 (2004). http://www.raczar.es/webracz/seccion4.monografia25.do?enlaceMenu=seccion4.monografia25
8. I. Higueras, J.A. Moler, F. Plo, M. San Miguel, An urn model with non-deterministic total replacement, Proceedings VII International Conference Zaragoza-Pau on Applied Mathematics, (Jaca, Spain, 2001), Monografías del Seminario Matemático García de Galdeano 27, pp. 337-343 (2003), ISBN: 84-96214-04-4
9. I. Higueras, T. Roldán, ESDIRK methods for index-2 DAEs: starting algorithms, Proceedings VII International Conference Zaragoza-Pau on Applied Mathematics, (Jaca, Spain, 2001), Monografías del Seminario Matemático García de Galdeano 27, pp. 345-352 (2003), ISBN: 84-96214-04-4
10. B. García, I. Higueras, T. Roldán, Some index concepts for linear PDAEs, Proceedings XVIII Congreso de Ecuaciones Diferenciales y Aplicaciones/ VIII Congreso de Matemática Aplicada (Tarragona, Spain, 2003). CD electronic edition, 8pp., ISBN: 84-930923-3-9.
11. I. Higueras, T. Roldán, Algoritmos de inicialización para métodos DIRK con matriz singular, Proceedings XVII Congreso de Ecuaciones Diferenciales y Aplicaciones/VII Congreso de Matemática Aplicada (Salamanca, Spain, 2001). CD electronic edition 8 pp., ISBN: 84-699-6144-6.
12. I. Higueras, T. Roldán, Starting algorithms for DIRK methods, Proceedings VI International Conference Zaragoza-Pau on Applied Mathematics, (Jaca, Spain, 1999), pp. 305-312, ISBN: 2-908930-75-7
13. B. García-Celayeta,I. Higueras, Index-1 linear DAEs. A new approach using Runge-Kutta methods, Proceedings VI International Conference Zaragoza-Pau on Applied Mathematics, (Jaca, Spain,1999), pp. 265-272, ISBN: 2-908930-75-7
14. I. Higueras, T. Roldán IRK para EDA de \'\i ndice 3: algoritmos de inicialización, Proceedings XVI Congreso de Ecuaciones Diferenciales y Aplicaciones //VI Congreso de Matemática Aplicada (Gran Canaria, Spain, 1999), pp. 1285-1291, 7 pp., ISBN: 2-908930-75-7.
15. I. Higueras, B. García-Celayeta, Runge-Kutta methods for DAEs. A new approach, Proceedings 2nd Meeting on Numerical Methods for Differential equations (Coimbra, Portugal, 1998), pp. 74-83.
16. I. Higueras, T. Roldán, IRK methods for DAEs: starting algorithms, Proceedings 2nd Meeting on Numerical Methods for Differential equations (Coimbra, Portugal, 1998), pp. 84-102.
17. I. Higueras Sanz, Coeficientes del desarrollo de Taylor para ecuaciones diferenciales algebraicas de índice 1, Proceedings XV Jornadas Hispano-Lusas (Évora, Portugal, 1990), Vol. V, pp. 179-184, Depósito Legal: 49301/91
18. R. Bilbao, M. Meléndez, J. Lezaun, M.T. Izquierdo,I. Higueras, La segregación de sólidos en lecho fluidizado en estado no estacionario, Proceedings VI Jornadas Fluidización (Gerona, Spain, 1990), pp. 39-47.
19. I. Higueras Sanz, Desarrollo asintótico del error global de fórmulas BDFs aplicadas a sistemas de ecuaciones diferenciales algebraicas, Proceedings XI Congreso de Ecuaciones diferenciales y aplicaciones (Málaga, Spain 1989), pp. 287-291, ISBN: 84-600-7547-8.

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