Sergio Blanes

FAEF721B


 
 

Position: (Professor) Catedrático de Universidad

Instituto de Matemática Multidisciplinar

Universidad Politécnica de Valencia

Edificio 8-G, piso 2

Camino de Vera s/n

46022-Valencia

SPAIN

Tel:  +34 963877007 (ext. 86691)

Fax: +34 963879887

e-mail: serblaza @ imm.upv.es

Personal webpage: http://personales.upv.es/serblaza

Group webpage: http://www.gicas.uji.es/

Book: S. Blanes, F. Casas. A Concise Introduction to Geometric Numerical Integration. CRC Press, Boca Raton, 2016. ISBN: 978-1-4822-6342-8.

4A428D60

·         Publications.

·         Sofware: some fortran programs with examples.

·         Editing

·         Conferences, Workshops, etc.

·         Short CV

·         Docencia

·         PhD Students:  
Philipp Bader (June 2014)
Tittle: Geometric Integrators for Schrödinger Equations

Muaz Seydaoglu (September 2016)

Tittle: Splitting methods for autonomous and non-autonomous perturbed equations

Nikita Kopylov (February 2019)

Tittle: Magnus-based geometric integrators for dynamical systems with time-dependent potentials

 

Selected Recent Papers

Publications in Journals

·     S. Blanes, N. Kopylov and M Seydaoğlu, Efficient scaling and squaring method for the matrix exponential, arXiv:submit/5546993.

·     S. Blanes, F. Casas, A. Escorihuela-Tomŕs, Families of efficient low order processed composition methods, arXiv preprint arXiv:2404.04340.

·     E.S. Carlin, S. Blanes, F. Casas, Reformulating polarized radiative transfer.(I) A consistent formalism allowing non-local Magnus solutions, arXiv preprint arXiv:2402.00252.

·     S. Blanes, Parallel Computation of functions of matrices and their action on vectors, arXiv preprint arXiv:2210.03714.

·     S. Blanes, F. Casas, and A. Murua, Splitting Methods for differential equations, Acta Numerica (2024). In Press. arXiv preprint arXiv:2401.01722.

·     S. Blanes, F. Casas, L. Shaw, Generalized extrapolation methods based on compositions of a basic 2nd-order scheme, Appl. Math. Comp. 473 (2024), 128663.

·     S. Blanes, F. Casas, C. González, M. Thalhammer, Symmetric-conjugate splitting methods for evolution equations of parabolic type, J. Comp. Dyn., 11 ( 2024), 108-134.

·     S. Blanes, F. Casas, C. González, M. Thalhammer, Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type, Comp. Phys. Comm. 295 (2024), 109007.

·     S. Blanes, F. Casas, C. González, M. Thalhammer, Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrodinger Equation, Commun. Comput. Phys. 33, (2023), 937-961.

·     J Bernier, S. Blanes, F. Casas, and A. Escorihuela-Tomŕs, Symmetric-conjugate splitting methods for linear unitary problems, BIT (2023) 63:58.

·     S. Blanes, F. Casas and A. Escorihuela-Tomŕs, Runge-Kutta-Nyström symplectic splitting methods of order 8. APNUM, 182 (2022), 14-27.

·     S. Blanes, A. Iserles and S. MacNamara, Positivity-preserving methods for ordinary differential equations. ESAIM 56 (2022), 1843-1870.

·     S. Blanes, F. Casas, P. Chartier and A. Escorihuela-Tomŕs, On symmetric-conjugate composition methods in the numerical integration of differential equations, Math. Comput. 91 (2022), 1739-1761

·     S. Blanes, F. Casas and A. Escorihuela-Tomŕs, Applying splitting methods with complex coefficients to the numerical integration of unitary problems, J. Comput. Dyn. 9 (2022), 85-101.

·     P. Bader, S. Blanes, F. Casas and M Seydaoğlu, An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation, Math. Comput. Sim. 194 (2022), pp. 383-400.

·     S. Blanes, Novel parallel in time integrators for ODEs, Appl. Math. Lett., 122 (2021) 107542.

·      S. Blanes, M.P. Calvo, F. Casas and J.M. Sanz-Serna, Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling, SIAM J. Sci. Comput. 43 (2021), pp. A3357-A3371.

·      S. Blanes, F. Casas, C. González and M. Thalhammer, Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear Schrödinger equations, IMA J. Numer. Anal. 41 (2021), pp. 594–617.

·      A. Gómez_Pueyo, S. Blanes and A. Castro, Propagators for Quantum-Classical Models: Commutator-Free Magnus Methods, J. Chem. Theor. Comp. 16 (2020), pp. 1420-1430.

·      S. Blanes, V. Gradinaru, High order efficient splittings for the semiclassical time–dependent Schrödinger equation, J Comput. Phys. 405 (2020) 109157.

·      P. Bader, S. Blanes and F: Casas, Computing the matrix exponential with an optimized Taylor polynomial approximation, Mathematics 7 (2019), 1174.


 
 
 
 
 
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