A variational formulation of the BDF2 method for metric gradient flows
ESAIM: M2AN, 53 1 (2019) 145-172
Published online: 2019-04-04
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Metric extrapolation in the Wasserstein space
Thomas O. Gallouët, Andrea Natale and Gabriele TodeschiCalculus of Variations and Partial Differential Equations 64 (5) (2025)
https://doi.org/10.1007/s00526-025-02996-6
A Convergent Entropy-Dissipating BDF2 Finite-Volume Scheme for a Population Cross-Diffusion System
Ansgar Jüngel and Martin VetterComputational Methods in Applied Mathematics 24 (3) 725 (2024)
https://doi.org/10.1515/cmam-2023-0009
Feedback stabilization of a parabolic coupled system and its numerical study
Wasim Akram, Debanjana Mitra, Neela Nataraj and Mythily RamaswamyMathematical Control and Related Fields (2023)
https://doi.org/10.3934/mcrf.2023022
High Order Schemes for Gradient Flow with Respect to a Metric
Saem Han, Selim Esedoḡlu and Krishna GarikipatiJournal of Computational Physics 112516 (2023)
https://doi.org/10.1016/j.jcp.2023.112516
A dynamic mass transport method for Poisson-Nernst-Planck equations
Hailiang Liu and Wumaier MaimaitiyimingJournal of Computational Physics 473 111699 (2023)
https://doi.org/10.1016/j.jcp.2022.111699
A new minimizing-movements scheme for curves of maximal slope
Ulisse StefanelliESAIM: Control, Optimisation and Calculus of Variations 28 59 (2022)
https://doi.org/10.1051/cocv/2022028
Some Recent Advances in Energetic Variational Approaches
Yiwei Wang and Chun LiuEntropy 24 (5) 721 (2022)
https://doi.org/10.3390/e24050721
Primal Dual Methods for Wasserstein Gradient Flows
José A. Carrillo, Katy Craig, Li Wang and Chaozhen WeiFoundations of Computational Mathematics 22 (2) 389 (2022)
https://doi.org/10.1007/s10208-021-09503-1
Particle-based energetic variational inference
Yiwei Wang, Jiuhai Chen, Chun Liu and Lulu KangStatistics and Computing 31 (3) (2021)
https://doi.org/10.1007/s11222-021-10009-7
Geometric Partial Differential Equations - Part II
Jose A. Carrillo, Daniel Matthes and Marie-Therese WolframHandbook of Numerical Analysis, Geometric Partial Differential Equations - Part II 22 271 (2021)
https://doi.org/10.1016/bs.hna.2020.10.002
A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games
Stefano Almi, Marco Morandotti and Francesco SolombrinoJournal of Evolution Equations 21 (2) 2691 (2021)
https://doi.org/10.1007/s00028-021-00702-5
Structure-preserving integrators for dissipative systems based on reversible– irreversible splitting
Xiaocheng Shang and Hans Christian ÖttingerProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476 (2234) 20190446 (2020)
https://doi.org/10.1098/rspa.2019.0446
A Variational Lagrangian Scheme for a Phase-Field Model: A Discrete Energetic Variational Approach
Chun Liu and Yiwei WangSIAM Journal on Scientific Computing 42 (6) B1541 (2020)
https://doi.org/10.1137/20M1326684
Two Structure-Preserving Time Discretizations for Gradient Flows
Ansgar Jüngel, Ulisse Stefanelli and Lara TrussardiApplied Mathematics & Optimization 80 (3) 733 (2019)
https://doi.org/10.1007/s00245-019-09605-x