Výsledky vyhledávání - "Sergio Blanes"

Positivity-preserving methods for ordinary differential equations

Autor: Sergio Blanes, Arieh Iserles, Shev Macnamara

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis. 56:1843-1870

Many important applications are modelled by differential equations with positive solutions However it remains an outstanding open problem to develop numerical methods that are both i of a high order of accuracy and ii capable of preserving positivity

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::512f36bd972fd4584f13c45208bd8e37
https://doi.org/10.1051/m2an/2022042

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Preface for the special issue 'Geometric numerical integration, twenty-five years later'

Autor: Sergio Blanes, Fernando Casas

Publikováno v: International Journal of Computer Mathematics. 99:1-3

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::857b9c79b96a1aba1d7a5c4f412ecedd
https://doi.org/10.1080/00207160.2021.2022843

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

Autor: Philipp Bader, Sergio Blanes, Fernando Casas, Muaz Seydaoğlu

Publikováno v: Repositori Universitat Jaume I
Universitat Jaume I

[EN] We present a practical algorithm to approximate the exponential of skew-Hermitian matrices up to round-off error based on an efficient computation of Chebyshev polynomials of matrices and the corresponding error analysis. It is based on Chebyshe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::476e15de68f28fa653ffe2f676695f65
https://doi.org/10.1016/j.matcom.2021.12.002

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

Autor: Philipp Bader, Fernando Casas, Sergio Blanes, Muaz Seydaoğlu

Publikováno v: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Repositori Universitat Jaume I
Universitat Jaume I

[EN] A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two versions are developed to be used

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05e8d318c7ea0e7ea89f8fb18102b80c

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Novel parallel in time integrators for ODEs

Autor: Sergio Blanes

Publikováno v: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname

[EN] We present a novel class of integrators for differential equations that are suitable for parallel in time computation, whose structure can be considered as a generalization of the extrapolation methods. Starting with a low order integrator (pref

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab6bb3c68f21c8eb3c392437652009ba
http://hdl.handle.net/10251/181546

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

Autor: Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs

Publikováno v: Repositori Universitat Jaume I
Universitat Jaume I

We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr\"odinger equation. We prove that a particular class of integrators are conjugate to unitary methods for sufficiently small s

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Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling

Autor: Fernando Casas, Jesús María Sanz-Serna, Sergio Blanes, M. P. Calvo

Publikováno v: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Repositori Universitat Jaume I
Universitat Jaume I

[EN] We construct integrators to be used in Hamiltonian (or Hybrid) Monte Carlo sampling. The new integrators are easily implementable and, for a given computational budget, may deliver five times as many accepted proposals as standard leapfrog/Verle

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02461091e1b72f6cbebc8dd0bc0998c4

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Performance of fourth and sixth-order commutator-free Magnus expansion integrators for Ehrenfest dynamics

Autor: Adrián Gómez Pueyo, Sergio Blanes, Andrea Castro

Publikováno v: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname

[EN] Hybrid quantum-classical systems combine both classical and quantum degrees of freedom. Typically, in Chemistry, Molecular Physics, or Materials Science, the classical degrees of freedom describe atomic nuclei (or cations with frozen core electr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1e99d9210429e5bac876bc2ed595935

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

Autor: Cesáreo González, Fernando Casas, Sergio Blanes, Mechthild Thalhammer

Publikováno v: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname
Repositori Universitat Jaume I
Universitat Jaume I

[EN] This work is devoted to the derivation of a convergence result for high-order commutator-free quasi-Magnus (CFQM) exponential integrators applied to nonautonomous linear Schrodinger equations; a detailed stability and local error analysis is pro

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3ce344b240d50e14545cc6ba3f00e47
https://hdl.handle.net/10251/181793

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