Community Integration Algorithms (CIAs) for Dynamical Systems on Networks

Autor: Tobias Böhle, Mechthild Thalhammer, Christian Kuehn

Dynamics of large-scale network processes underlies crucial phenomena ranging across all sciences. Forward simulation of large network models is often computationally prohibitive. Yet, most networks have intrinsic community structure. We exploit thes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4cdf574620b31b0a01592bc19d96b6b

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

Efficient time integration methods for Gross--Pitaevskii equations with rotation term

Autor: Sergio Blanes, Mechthild Thalhammer, Fernando Casas, Philipp Bader

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

[EN] The objective of this work is the introduction and investigation of favourable time integration methods for the Gross-Pitaevskii equation with rotation term. Employing a reformulation in rotating Lagrangian coordinates, the equation takes the fo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9afe9a6d9d469fd861c29922461ad25b

Theoretical study and numerical simulation of pattern formation in the deterministic and stochastic Gray–Scott equations

Autor: Tsiry Avisoa Randrianasolo, Erika Hausenblas, Mechthild Thalhammer

Publikováno v: Journal of Computational and Applied Mathematics. 364:112335

Mathematical models based on systems of reaction–diffusion equations provide fundamental tools for the description and investigation of various processes in biology, biochemistry, and chemistry; in specific situations, an appealing characteristic o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01f7da516e7a8ba8e4716d6df8485b3f
https://doi.org/10.1016/j.cam.2019.06.051

Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type

Autor: Philippe Chartier, Mechthild Thalhammer, Florian Méhats, Yong Zhang

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (5), pp.1859-1882. ⟨10.1051/m2an/2017010⟩
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (5), pp.1859-1882. ⟨10.1051/m2an/2017010⟩
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (5), pp.1859-1882. 〈10.1051/m2an/2017010〉

International audience; The convergence behaviour of multi-revolution composition methods combined with time-splitting methods is analysed for highly oscillatory linear differential equations of Schrödinger type. Numerical experiments illustrate and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4665710667c9c10780a042a2bf711a45
https://hal.science/hal-01636323