• Estudi qualitatiu de sistemes Morse-Smale no singulars (NMS). Estructura del conjunt d’òrbites periòdiques d’un sistema NMS definit sobre una varietat tridimensional
• Dinàmica dels mètodes iteratius de resolució d’equacions no lineals
• Anàlisi numèrica d’equacions diferencials. Desenvolupament de mètodes d’integració numèrica geomètrica i les seues aplicacions
• Nous mètodes en teoria de pertorbacions
• Modelització matemàtica. Aplicació a tractament de residus i contaminants, problemes de combustió, processos ceràmics i processos de sedimentació aplicats a la regeneració de platges i conques de rius
• Matemàtica financera. Models de subhastes
• Noves tecnologies de l'educació. Aprenentatge cooperatiu, e-learning, b-learning

Articles en revistes

• Geometric Hermite interpolation by rational curves of constant width Article

  Ana María Arnal Pons, J. V. Beltrán, J. Monterde, D. Rochera.

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; pp. 1-19. (2024). ISSN: 0377-0427

• Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrodinger Equation Article

  Sergio Blanes, Fernando Casas Pérez, Cesareo González, Mechthild Thalhammer.

  Communications in Computational Physics ; 4 pp. 937-961. (2023). ISSN: 1815-2406

• Magnus integrators for linear and quasilinear delay differential equations Article

  Ana María Arnal Pons, Fernando Casas Pérez, Cristina Chiralt Monleon.

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; 431 pp. 1-16. (2023). ISSN: 0377-0427

• A New Optimality Property of Strang’s Splitting Article

  Fernando Casas Pérez, Jesús María Sanz Serna , Luke Daniel Shaw .

  SIAM JOURNAL ON NUMERICAL ANALYSIS ; 3 pp. 1369-1385. (2023). ISSN: 0036-1429

• On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub Article

  Jordi Canela Sánchez, Vasiliki Evdoridou, Antonio Garijo, Xavier Jarque.

  MATHEMATISCHE ZEITSCHRIFT ; 3 pp. 1-22. (2023). ISSN: 0025-5874

• Dynamics of Newton-like root finding methods Article

  Beatriz Campos Sancho, Jordi Canela Sánchez, María Purificacion Vindel Cañas.

  NUMERICAL ALGORITHMS ; 4 pp. 1453-1480. (2023). ISSN: 1017-1398

• Development and Validation of a Meta-Instrument for the Assessment of Functional Capacity, the Risk of Falls and Pressure Injuries in Adult Hospitalization Units (VALENF Instrument) (Part II) Article

  David Luna Aleixos, Irene Llagostera Reverter, Joaquín José Castelló Benavent, Marta Aquilué Ballarín, Gemma Mechó Montoliu, Águeda Cervera Gasch, María Jesús Valero Chillerón, Desirée Mena Tudela, Laura Andreu Pejó, Rafael Martinez Gonzalbez, Víctor Manuel González Chordá.

  INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH (EN LINEA); 6 pp. 1-12. (2023). ISSN: 1660-4601

• Bézier surfaces with prescribed diagonals Article

  Ana María Arnal Pons, Juan Monterde.

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; 424 pp. 1-13. (2023). ISSN: 0377-0427

• Applying splitting methods with complex coefficients to the numerical integration of unitary problems Article

  Sergio Blanes, Fernando Casas Pérez, Alejandro Escorihuela Tomás.

  JOURNAL OF COMPUTATIONAL DYNAMICS; 2 pp. 85-101. (2022). ISSN: 2158-2491

• Stent Management of Leaks After Bariatric Surgery: a systematic Review and Meta-analysis Revisió

  Andreu Martínez Hernández, Homero Beltrán Herrera, Vicente Martínez García, Miguel Ibáñez Belenguer, Raquel Queralt Martin, Ana Karina Maiocchi Segredo, Elena Aliaga Hilario, José Manuel Laguna Sastre.

  OBESITY SURGERY; 4 pp. 1034-1048. (2022). ISSN: 0960-8923

• Achievable connectivities of Fatou components for a family of singular perturbations Article

  Jordi Canela Sánchez, Xavier Jarque, Dan Paraschiv.

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS ; 9 pp. 4237-4261. (2022). ISSN: 1078-0947

• Dynamical analysis of an iterative method with memory on a family of third-degree polynomials Article

  Beatriz Campos Sancho, Alicia Cordero, Juan R. Torregrosa, María Purificacion Vindel Cañas.

  AIMS Mathematics; 4 pp. 6445-6466. (2022). ISSN: 2473-6988

• Split Hamiltonian Monte Carlo revisited Article

  Fernando Casas Pérez, Jesús María Sanz Serna, Luke Daniel Shaw.

  STATISTICS AND COMPUTING ; 5 pp. 1-14. (2022). ISSN: 0960-3174

• On symmetric-conjugate composition methods in the numerical integration of differential equations Article

  Sergio Blanes, Fernando Casas Pérez, P. Chartier, Alejandro Escorihuela Tomás.

  MATHEMATICS OF COMPUTATION ; 336 pp. 1739-1761. (2022). ISSN: 0025-5718

• Preface for the special issue “Geometric numerical integration, twenty-five years later” Material editorial

  Sergio Blanes, Fernando Casas Pérez.

  INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS; 1 pp. 1-3. (2022). ISSN: 0020-7160

• Dynamical mechanism behind ghosts unveiled in a map complexification Article

  Jordi Canela Sánchez, Lluís Alsedà, Núria Fagella, Josep Sardanyés.

  CHAOS SOLITONS & FRACTALS ; 156 pp. 1-11. (2022). ISSN: 0960-0779

• An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation Article

  Philipp Bader, Sergio Blanes, Fernando Casas Pérez, Muaz Seydaoğlu.

  MATHEMATICS AND COMPUTERS IN SIMULATION ; 194 pp. 383-400. (2022). ISSN: 0378-4754

• Runge-Kutta-Nystrom symplectic splitting methods of order 8 Article

  S. Blanes, Fernando Casas Pérez, Alejandro Escorihuela Tomás.

  APPLIED NUMERICAL MATHEMATICS ; 182 pp. 14-27. (2022). ISSN: 0168-9274

• Development and Validation of a Meta-Instrument for Nursing Assessment in Adult Hospitalization Units (VALENF Instrument) (Part I) Article

  David Luna Aleixos, Irene Llagostera Reverter, Joaquín José Castelló Benavent, Marta Aquilué Ballarín, Gema Mecho Montoliu, Águeda Cervera Gasch, María Jesús Valero Chillerón, Desirée Mena Tudela, Laura Andreu Pejó, Rafael Martínez Gonzálbez , Víctor Manuel González Chordá.

  INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH; 19 pp. 1-15. (2022). ISSN: 1661-7827

• High order integrators obtained by linear combinations of symmetric-conjugate composition Article

  Fernando Casas Pérez, Alejandro Escorihuela Tomás.

  APPLIED MATHEMATICS AND COMPUTATION; 1 pp. 1-12. (2022). ISSN: 0096-3003

• Computing the matrix sine and cosine simultaneously with a reduced number of products Article

  Muaz Seydaoğlu, Philipp Karl Heinz Bader, Sergio Blanes, Fernando Casas Pérez.

  APPLIED NUMERICAL MATHEMATICS ; 163 pp. 96-107. (2021). ISSN: 0168-9274

• Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations Article

  Fernando Casas Pérez, P. Chartier, Alejandro Escorihuela Tomás, Y Zhang.

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; 381 pp. --. (2021). ISSN: 0377-0427

• Tips of tongues in the double standard family Article

  Kuntal Banerjee, Xavier Buff, Jordi Canela Sánchez, Adam Epstein.

  NONLINEARITY ; 12 pp. 8174-8191. (2021). ISSN: 0951-7715

• A Modified SIRD Model to Study the Evolution of the COVID-19 Pandemic in Spain Article

  Vicente Martínez García.

  Symmetry-Basel; 4 pp. 1-14. (2021). ISSN: 2073-8994

• A Note on the Baker–Campbell–Hausdorff Series in Terms of Right-Nested Commutators Article

  Ana María Arnal Pons, Fernando Casas Pérez, Cristina Chiralt Monleon.

  MEDITERRANEAN JOURNAL OF MATHEMATICS; 2 pp. --. (2021). ISSN: 1660-5446

• Dynamics of subfamilies of Ostrowski–Chun methods Article

  Beatriz Campos Sancho, María Purificacion Vindel Cañas.

  MATHEMATICS AND COMPUTERS IN SIMULATION ; 181 pp. 57-81. (2021). ISSN: 0378-4754

• A Unifying Framework for Perturbative Exponential Factorizations Article

  Ana María Arnal Pons, Fernando Casas Pérez, Cristina Chiralt Monleon, José Angel Oteo.

  MATHEMATICS; 6 pp. --. (2021). ISSN: 2227-7390

• Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear Schrödinger equations Article

  Sergio Blanes, Fernando Casas Pérez, Cesáreo González, Mechthild Thalhammer.

  IMA JOURNAL OF NUMERICAL ANALYSIS ; 1 pp. 594-617. (2021). ISSN: 0272-4979

• Dynamics of a Family of Rational Operators of Arbitrary Degree Article

  Beatriz Campos Sancho, Jordi Canela Sánchez, Antonio Garijo, María Purificacion Vindel Cañas.

  Mathematical Modelling and Analysis; 2 pp. 188-208. (2021). ISSN: 1392-6292

• Symmetrically processed splitting integrators for enhanced hamiltonian monte carlo sampling Article

  S Blanes, MP Calvo, Fernando Casas Pérez, JM Sanz-Serna.

  SIAM JOURNAL ON SCIENTIFIC COMPUTING; 5 pp. 3357-3371. (2021). ISSN: 1064-8275

• Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials Article

  Beatriz Campos Sancho, Jordi Canela Sánchez, María Purificacion Vindel Cañas.

  COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; 82 pp. --. (2020). ISSN: 1007-5704

• Exponential Perturbative Expansions and Coordinate Transformations Article

  Ana María Arnal Pons, Fernando Casas Pérez, Cristina Chiralt Monleon.

  MATHEMATICAL AND COMPUTATIONAL APPLICATIONS; 3 pp. --. (2020). ISSN: 1300-686X

• Julia Sets with a Wandering Branching Point Article

  Xavier Buff, Jordi Canela Sánchez, Pascale Roesch.

  INDIANA UNIVERSITY MATHEMATICS JOURNAL; 6 pp. 2241-2265. (2020). ISSN: 0022-2518

• Composition methods for dynamical systems separable into three parts Article

  Fernando Casas Pérez, Alejandro Escorihuela Tomás.

  MATHEMATICS; 4 pp. 1-18. (2020). ISSN: 2227-7390

• Numerical integrators based on the Magnus expansion for nonlinear dynamical systems Article

  M. Hajiketabi, Fernando Casas Pérez.

  APPLIED MATHEMATICS AND COMPUTATION; 369 pp. --. (2020). ISSN: 0096-3003

• Splitting Methods for Rotations: Application to Vlasov Equations Article

  Joackim Bernier, Fernando Casas Pérez, Nicolas Crouseilles.

  SIAM JOURNAL ON SCIENTIFIC COMPUTING; 2 pp. 666-697. (2020). ISSN: 1064-8275

• Symplectic propagators for the Kepler problem with time-dependent mass Article

  Philipp Karl Heinz Bader, Sergio Blanes, Fernando Casas Pérez, Nikita Kopylov.

  CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY ; 6 pp. --. (2019). ISSN: 0923-2958

• Efficient time integration methods for gross-pitaevskii equations with rotation term Article

  Philipp Karl Heinz Bader, Sergio Blanes, Fernando Casas Pérez, M Thalhammer.

  JOURNAL OF COMPUTATIONAL DYNAMICS (EN LINEA); 2 pp. 147-169. (2019). ISSN: 2158-2505

• Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation Article

  Philipp Karl Heinz Bader, Sergio Blanes, Fernando Casas Pérez.

  MATHEMATICS; 12 pp. --. (2019). ISSN: 2227-7390

• Dynamical Analysis to Explain the Numerical Anomalies in the Family of Ermakov-Kalitkin Type Methods Article

  Alicia Cordero, Juan R. Torregrosaa, María Purificacion Vindel Cañas.

  Mathematical Modelling and Analysis; 3 pp. 335-350. (2019). ISSN: 1392-6292

• Continuous changes of variables and the Magnus expansion Article

  Fernando Casas Pérez, Philippe Chartier, Ander Murua.

  JOURNAL OF PHYSICS COMMUNICATIONS; 9 pp. --. (2019). ISSN: 2399-6528

• Splitting and composition methods with embedded error estimators Article

  Sergio Blanes, Fernando Casas Pérez, Mechthild Thalhammer.

  APPLIED NUMERICAL MATHEMATICS ; 146 pp. 400-415. (2019). ISSN: 0168-9274

• Novel symplectic integrators for the Klein–Gordon equation with space- and time-dependent mass Article

  Philipp Karl Heinz Bader, Sergio Blanes, Fernando Casas Pérez, Nikita Kopylov.

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; 350 pp. 130-138. (2019). ISSN: 0377-0427

• Convergence regions for the Chebyshev–Halley family Article

  Beatriz Campos Sancho, Jordi Canela Sánchez, María Purificacion Vindel Cañas.

  COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; 56 pp. 508-525. (2018). ISSN: 1007-5704

• Rational maps with Fatou components of arbitrarily large connectivity Article

  Jordi Canela Sánchez.

  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS ; 1 pp. 36-56. (2018). ISSN: 0022-247X

• Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type Article

  Sergio Blanes, Fernando Casas Pérez, Mechthild Thalhammer.

  IMA JOURNAL OF NUMERICAL ANALYSIS ; 2 pp. 743-778. (2018). ISSN: 0272-4979

• Basic actions to reduce dropout rates in distance learning Article

  Pablo Gregori Huerta, Vicente Martínez García, Julio Jose Moyano Fernández.

  EVALUATION AND PROGRAM PLANNING ; 66 pp. 48-52. (2018). ISSN: 0149-7189

• Seguridad clínica del método madre canguro en pacientes pediátricos hospitalizados en la unidad de cuidados intensivos Article

  Miriam González Ruíz, Antonia Valero Cardona, Joaquín José Castelló Benavent.

  REVISTA ROL. DE ENFERMERÍA; 9 pp. 596-605. (2018). ISSN: 0210-5020

• The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains Article

  M Hajiketabi, S. Abbasbandy, Fernando Casas Pérez.

  APPLIED MATHEMATICS AND COMPUTATION; 321 pp. 223-243. (2018). ISSN: 0096-3003

• A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators Article

  Ana María Arnal Pons, Fernando Casas Pérez, Cristina Chiralt Monleon.

  JOURNAL OF PHYSICS COMMUNICATIONS; 3 pp. 1-10. (2018). ISSN: 2399-6528

• Detection of Anomalies in Water Networks by Functional Data Analysis Article

  Laura Millán-Roures, Irene Epifanio López, Vicente Martínez García.

  MATHEMATICAL PROBLEMS IN ENGINEERING; 2018 pp. 1-13. (2018). ISSN: 1024-123X

• A numerical technique for applying time splitting methods in shallow water equations Article

  Vicente Martínez García.

  COMPUTERS & FLUIDS ; 169 pp. 285-295. (2018). ISSN: 0045-7930

• A note on trigonometric identities involving non-commuting matrices Article

  Ana María Arnal Pons, Fernando Casas Pérez, Cristina Chiralt Monleon.

  SEMA JOURNAL; 1 pp. 35-44. (2018). ISSN: 2254-3902

• Symplectic integrators for second-order linear non-autonomous equations Article

  Philipp Karl Heinz Bader , Sergio Blanes, Fernando Casas Pérez, Nikita Kopylov, Enrique Ponsoda.

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; 330 pp. 909-919. (2018). ISSN: 0377-0427

Treballs presentats en congressos publicats

• Application of polynomial algebras to non-linear equation solvers

  Jordi Canela Sánchez, D. Pérez Palau.

  Mathematical Modelling in Engineering & Human Behaviour 2022 (MME&HB 2022). València (España)

  Autoeditado por Comité congreso, 2022. ISBN: 9788409470372

Tesis dirigides

• About the connectivity of Fatou components for some families of rational maps

  Autoria: Paraschiv, Dan Alexandru. Institució: Universitat de Barcelona. Data lectura: 16/06/23

  Direcció: Jarque Ribera, Xavier; Canela Sánchez, Jordi

• Métodos de escisión y composición para ecuaciones diferenciales y aplicaciones

  Autoria: Escorihuela Tomás, Alejandro. Institució: Universitat Jaume I. Data lectura: 02/12/22

  Direcció: Casas Pérez, Fernando

• Desenvolupament de models matemàtics de processos industrials
• Desenvolupament de models matemàtics de difusió de contaminants
• Desenvolupament de models matemàtics de processos de sedimentació
• Modelització de subhastes en la construcció i altres sectors
• Aplicació de les tècniques qualitatives dels sistemes dinàmics en la resolució d'equacions diferencials dependents de paràmetres, que apareixen en diferents camps cientificotècnics: mecànica celeste, economia, biologia, etc.
• Desenvolupament del programari per a la integració a temps llargs d'equacions diferencials que modelen sistemes físics: evolució del sistema solar, mecànica de fluids, etc.

Paraules clau

• Sistemes dinàmics
• sistemes hamiltonians
• bifurcacions
• anàlisi numèrica
• equacions diferencials
• integració numèrica geomètrica
• modelització matemàtica
• residus
• contaminants
• combustió
• sedimentació
• simulació numèrica