PDE-convergence in Euclidean norm of AMF-W methods for linear multidimensional parabolic problems Séveriano González-Pinto, Ernst Hairer and Domingo Hernández-Abreu Received: 29 December 2022 / Revised: 15 August 2023 / Accepted: 15 November 2023 DOI: https://doi.org/10.1051/m2an/2023094 PDF (409.8 KB)
Uncertainty quantification for Fisher-Kolmogorov equation on graphs with application to patient-specific Alzheimer's disease Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti and Alfio M. Quarteroni Received: 05 May 2023 / Revised: 12 September 2023 / Accepted: 17 November 2023 DOI: https://doi.org/10.1051/m2an/2023095 PDF (7.833 MB)
Discrete Quantum Harmonic oscillator and Kravchuk transform Erwan Faou and Quentin Chauleur Received: 24 April 2023 / Revised: 30 December 2023 / Accepted: 31 December 2023 DOI: https://doi.org/10.1051/m2an/2024001 PDF (929.0 KB)
Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension Nicolas Meunier, Ido Lavi and Olivier Pantz Received: 10 May 2023 / Revised: 20 November 2023 / Accepted: 11 January 2024 DOI: https://doi.org/10.1051/m2an/2024005 PDF (6.100 MB)
An optimization-based method for sign-changing elliptic PDEs Assyr Abdulle and Simon Lemaire Received: 25 June 2023 / Revised: 04 February 2024 / Accepted: 27 February 2024 DOI: https://doi.org/10.1051/m2an/2024013 PDF (1.328 MB)
Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology Giacomo Rosilho de Souza, Marcus Grote, Simone Pezzuto and Rolf Krause Received: 04 December 2023 / Revised: 22 March 2024 / Accepted: 22 April 2024 DOI: https://doi.org/10.1051/m2an/2024030 PDF (10.40 MB)
Contraction Rate Estimates of Stochastic Gradient Kinetic Langevin Integrators Benedict Leimkuhler, Daniel Paulin and Peter Archibald Whalley Received: 14 June 2023 / Revised: 01 May 2024 / Accepted: 16 May 2024 DOI: https://doi.org/10.1051/m2an/2024038 PDF (1.233 MB)
Complexity analysis of quasi continuous level Monte Carlo Cedric Beschle and Andrea Barth Received: 25 May 2023 / Revised: 10 May 2024 / Accepted: 20 May 2024 DOI: https://doi.org/10.1051/m2an/2024039 PDF (4.123 MB)
A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition Christian Döding, Patrick Henning and Johan Wärnegård Received: 26 April 2023 / Revised: 22 April 2024 / Accepted: 21 May 2024 DOI: https://doi.org/10.1051/m2an/2024040 PDF (1.136 MB)
The non-intrusive reduced basis two-grid method applied to sensitivity analysis Elise Grosjean and Bernd Simeon Received: 20 January 2023 / Revised: 21 May 2024 / Accepted: 31 May 2024 DOI: https://doi.org/10.1051/m2an/2024044 PDF (828.9 KB)
Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations Yonah Conjungo Taumhas, Geneviève Dusson, Virginie Ehrlacher, Tony Lelièvre and François Madiot Received: 05 July 2023 / Revised: 23 April 2024 / Accepted: 03 July 2024 DOI: https://doi.org/10.1051/m2an/2024055 PDF (1.360 MB)
Computing regularized splines in the Riemannian manifold of probability measures Tien Tam Tran, Ines Adouani and Chafik SAMIR Received: 20 April 2023 / Revised: 22 April 2024 / Accepted: 04 July 2024 DOI: https://doi.org/10.1051/m2an/2024056 PDF (8.067 MB)
Polynomial bounds for the solutions of parametric transmission problems on smooth, bounded domains Simon Labrunie, Hassan Mohsen and Victor Nistor Received: 25 September 2023 / Revised: 20 June 2024 / Accepted: 11 July 2024 DOI: https://doi.org/10.1051/m2an/2024057 PDF (646.4 KB)
Optimization of two-level methods for DG discretizations of reaction-diffusion equations Martin Gander and José Pablo Lucero Lorca Received: 09 June 2023 / Revised: 18 June 2024 / Accepted: 12 July 2024 DOI: https://doi.org/10.1051/m2an/2024059 PDF (2.501 MB)
Lowest-order nonstandard finite element methods for time-fractional biharmonic problem Neela Nataraj, J.P. Raymond and Shantiram Mahata Received: 22 November 2023 / Revised: 25 July 2024 / Accepted: 26 July 2024 DOI: https://doi.org/10.1051/m2an/2024062 PDF (1.386 MB)
Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects Charles Elbar and Alexandre Poulain Received: 11 May 2023 / Revised: 29 July 2024 / Accepted: 30 July 2024 DOI: https://doi.org/10.1051/m2an/2024063 PDF (2.303 MB)
Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems Qiang Du, Lili Ju, Jianfang Lu and Xiaochuan Tian Received: 19 February 2024 / Revised: 29 June 2024 / Accepted: 05 August 2024 DOI: https://doi.org/10.1051/m2an/2024064 PDF (276.6 KB)
Convergent finite element methods for antiferromagnetic and ferrimagnetic materials Hywel Normington and Michele Ruggeri Received: 07 December 2023 / Revised: 12 June 2024 / Accepted: 19 August 2024 DOI: https://doi.org/10.1051/m2an/2024065 PDF (7.486 MB)
Structure-preserving finite element methods for computing dynamics of rotating Bose-Einstein condensate Meng Li, Junjun Wang, Zhen Guan and Zhijie Du Received: 31 January 2024 / Revised: 26 August 2024 / Accepted: 02 September 2024 DOI: https://doi.org/10.1051/m2an/2024067 PDF (2.878 MB)
Nitsche method for Navier-Stokes equations with slip boundary conditions: Convergence analysis and VMS-LES stabilization Aparna Bansal, Nicolás Barnafi and Dwijendra Narain Pandey Received: 12 August 2023 / Revised: 25 June 2024 / Accepted: 05 September 2024 DOI: https://doi.org/10.1051/m2an/2024070 PDF (5.501 MB)
Mean field error estimate of the random batch method for large interacting particle system Zhenyu Huang, Shi Jin and Lei Li Received: 13 March 2024 / Revised: 23 July 2024 / Accepted: 05 September 2024 DOI: https://doi.org/10.1051/m2an/2024071 PDF (638.8 KB)
Model free collision aggregation for the computation of escape distributions Laetitia LAGUZET and Gabriel TURINICI Received: 26 March 2024 / Revised: 03 August 2024 / Accepted: 19 September 2024 DOI: https://doi.org/10.1051/m2an/2024072 PDF (868.0 KB)
Error estimates for discontinuous Galerkin time-stepping schemes for the parabolic p-Laplacian: A quasi-norm approach Konstantinos Chrysafinos and Panagiotis Paraschis Received: 26 October 2023 / Revised: 10 July 2024 / Accepted: 24 September 2024 DOI: https://doi.org/10.1051/m2an/2024073 PDF (572.1 KB)
Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems Hendrik Kleikamp, Martin Lazar and Cesare Molinari Received: 07 August 2023 / Revised: 06 February 2024 / Accepted: 28 September 2024 DOI: https://doi.org/10.1051/m2an/2024074 PDF (777.0 KB)