Invariant-preserving integrators for differential equations
Has parts
Paper 1: Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. Adaptive energy preserving methods for partial differential equations. Advances in Computational Mathematics 44, pages 815–839(2018) The final authenticated version is available online at: https://doi.org/10.1007/s10444-017-9562-8Paper 2: Eidnes, Sølve; Ringholm, Torbjørn. Energy preserving moving mesh methods applied to the BBM equation. MekIT '17
Paper 3: Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. Energy-preserving methods on Riemannian manifolds. Mathematics of Computation 2019 ;Volum 89.(322) s. 699-716 https://doi.org/10.1090/mcom/3470
Paper 4: Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn. Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. “First Published in SIAM Journal on Scientific Computing 2018 ;Volum 40.(6) published by the Society for Industrial and Applied Mathematics (SIAM)” “Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.” https://doi.org/10.1137/18M1190628
Paper 5: Eidnes, Sølve. Order theory for discrete gradient methods. arXiv.org 2020 https://arxiv.org/abs/2003.08267
Paper 6: Eidnes, Sølve; Li, Lu; Sato, Shun. Linearly implicit structure-preserving schemes for Hamiltonian systems. Journal of Computational and Applied Mathematics 2019 Publisher version is available online at: https://doi.org/10.1016/j.cam.2019.112489
Paper 7: Eidnes, Sølve; Li, Lu. Linearly implicit local and global energy-preserving methods for Hamiltonian PDEs. arXiv.org 2019 https://arxiv.org/abs/1907.02122
Paper 8: Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS) 2017 ;Volum 10589 LNCS. s. 49-56 The final authenticated version is available online at: https://doi.org/10.1007/978-3-319-68445-1_6
Paper 9: Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia 2018 ;Volum 13. s. 187-220 The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-01593-0_7