Limitation strategies for high-order discontinuous Galerkin schemes applied to an Eulerian model of polydisperse sprays

Authors: Ait-Ameur, Katia, Essadki, Mohamed, Massot, Marc, Pichard, Teddy

Contributors: Pichard, Teddy

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 59:2349-2383

Subject Terms: Polydisperse sprays, Moment equations, Realizability preserving and TVD method, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Weakly hyperbolic system, Runge Kutta Discontinuous Galerkin schemes

File Description: application/pdf

Toward an Algebraic Multigrid Method for the Indefinite Helmholtz Equation

Authors: Falgout, Robert, Lecouvez, Matthieu, Ramet, Pierre, Richefort, Clément

Contributors: Richefort, Clément

Source: SIAM Journal on Scientific Computing. :S285-S310

Subject Terms: Linear Algebra, Helmholtz Equation, Indefinite Matrix, [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, Multigrid, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]

Access URL: https://cea.hal.science/cea-05240268v1
https://doi.org/10.1137/24m1672560

Model Order Reduction Using a Collocation Scheme on Chimera Meshes: Addressing the Kolmogorov \({N}\)-Width Barrier

Authors: Bergmann, Michel, Carlino, Michele Giuliano, Iollo, Angelo

Contributors: CRETIN, Dorine

Source: SIAM Journal on Scientific Computing. 47:A2272-A2298

Subject Terms: [SPI] Engineering Sciences [physics], Collocation-based MOR (cMOR), ADER, Chimera grids, complexité de kolmogorov, edp - équation aux dérivées partielles, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [INFO] Computer Science [cs], maillage, éduction d'ordre de modèle, methode chimère, Model Order Reduction (MOR), Parametric PDEs, méthode ader, [PHYS.PHYS] Physics [physics]/Physics [physics], Kolmogorov N-width, méthode de collocation

File Description: application/pdf

Access URL: https://inria.hal.science/hal-04705778v2
https://inria.hal.science/hal-04705778v2/document
https://doi.org/10.1137/24m1695099

Discrete de Rham complex involving a discontinuous finite element space for velocities: the case of periodic straight triangular and Cartesian meshes

Authors: Perrier, Vincent

Contributors: Perrier, Vincent

Source: Annales Henri Lebesgue. 8:417-452

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/pdf

Access URL: http://arxiv.org/abs/2404.19545
https://inria.hal.science/hal-04564069v3
https://inria.hal.science/hal-04564069v3/document
https://doi.org/10.5802/ahl.239

Implicit kinetic schemes for the Saint-Venant system

Authors: El Hassanieh, Chourouk, Rigal, Mathieu, Sainte-Marie, Jacques

Contributors: Rigal, Mathieu

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 59:1863-1908

Subject Terms: Shallow water equations, Fully discrete entropy inequality, Hydrostatic reconstruction, Well-balanced schemes, Kinetic solver, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/pdf

Access URL: https://hal.science/hal-04048832v3/document
https://doi.org/10.1051/m2an/2025038
https://hal.science/hal-04048832v3

Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations

Authors: Boutin, Benjamin, Le Barbenchon, Pierre, Seguin, Nicolas

Contributors: Boutin, Benjamin, Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-Institut Agro Rennes Angers, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Institut Montpelliérain Alexander Grothendieck (IMAG), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), ANR-17-CE40-0025,Nabuco,Frontières numériques et couplages(2017), ANR-11-LABX-0020,LEBESGUE,Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation(2011)

Source: Annales de la Faculté des sciences de Toulouse : Mathématiques. 34:193-224

Subject Terms: GKS-stability, IBVP, 65M12, 65M06, 30E10, Numerical Analysis (math.NA), 65M06, winding number, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 30E10, 01 natural sciences, Kreiss-Lopatinskii determinant, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, MSC: 65M12, finite difference methods, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/pdf

Access URL: http://arxiv.org/abs/2302.01410
https://hal.science/hal-03970775v1/document
https://doi.org/10.48550/arxiv.2302.01410
https://hal.science/hal-03970775v1

Local limit theorems for complex valued sequences: Old & New

Authors: Coulombel, Jean-François, Faye, Grégory

Contributors: Faye, Grégory, Centre Mersenne, Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), ANR-24-CE40-3260,HEAD,Évolutions hyperboliques, asymptotiques et dynamique(2024), ANR-11-LABX-0040,CIMI,Centre International de Mathématiques et d'Informatique (de Toulouse)(2011), ANR-21-CE40-0008,Indyana,Dynamiques d'invasion et asymptotiques non triviales(2021)

Source: Journées équations aux dérivées partielles. :1-15

Subject Terms: [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/pdf

Access URL: https://hal.science/hal-04802742v1
https://doi.org/10.5802/jedp.686
https://hal.science/hal-04802742v1/document

Improvements to the Met Office's global ocean–sea ice forecasting system including model and data assimilation changes

Authors: Mignac, Davi, Waters, Jennifer, Lea, Daniel, Martin, Matthew, While, James, Weaver, Anthony, Vidard, Arthur, Guiavarc'H, Catherine, Storkey, Dave, Ford, David, Blockley, Edward, Baker, Jonathan, Haines, Keith, Price, Martin, Bell, Michael, Renshaw, Richard

Contributors: Toulouse, Séverine

Source: Geoscientific Model Development, Vol 18, Pp 3405-3425 (2025)

Subject Terms: [SDE] Environmental Sciences, QE1-996.5, Data assimiation, Geology, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/pdf

Access URL: https://gmd.copernicus.org/articles/18/3405/2025/
https://doaj.org/article/570169f76c4f4e9880dcad7259107770

Finite elements for Wasserstein 𝕎p gradient flows

Authors: Cancès, Clément, Matthes, Daniel, Nabet, Flore, Rott, Eva-Maria

Contributors: Cancès, Clément

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 59:1565-1600

Subject Terms: finite elements, nonlinear stability, Wasserstein gradient flow, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], convergence analysis

File Description: application/pdf

Conservative Polynomial Approximations and Applications to Fokker–Planck Equations

Authors: Laidin, Tino, Pareschi, Lorenzo

Contributors: Laidin, Tino, Université de Lille, Reliable numerical approximations of dissipative systems [RAPSODI ], Maxwell Institute for Mathematical Sciences, Department of Mathematics [Ferrara]

Source: SIAM Journal on Scientific Computing. 47:A1279-A1303

Subject Terms: Galerkin spectral method, 65N35, 82C40, FOS: Mathematics, Fokker-Planck equation, conservative methods, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], spectral accuracy

File Description: application/pdf; application/octet-stream

Access URL: http://arxiv.org/abs/2402.06473
https://hal.science/hal-04449712v2/document
https://hal.science/hal-04449712v2
https://doi.org/10.1137/24m1643086
http://hdl.handle.net/20.500.12210/107420

Long time behavior of the field–road diffusion model: an entropy method and a finite volume scheme

Authors: Matthieu Alfaro, Claire Chainais-Hillairet

Contributors: Alfaro, Matthieu, Laboratoire de Mathématiques Raphaël Salem (LMRS), Université de Rouen Normandie (UNIROUEN), Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS), Reliable numerical approximations of dissipative systems (RAPSODI), Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Université de Lille, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), ANR-20-CE40-0011,DEEV,Modèles intégro-différentiels venant de la biologie évolutive(2020), ANR-11-LABX-0007,CEMPI,Centre Européen pour les Mathématiques, la Physique et leurs Interactions(2011)

Source: Journal of Numerical Mathematics. 33:241-265

Subject Terms: field-road model, entropy dissipation, long time behavior, Numerical Analysis (math.NA), finite-volume method, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], field-road model long time behavior finite-volume method entropy dissipation entropy construction method functional inequalities AMS Subject Classifications: 35K40 35B40 65M08 65M12, Mathematics - Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], functional inequalities, Mathematics - Numerical Analysis, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], entropy construction method, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Analysis of PDEs (math.AP)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2309.16242
https://hal.science/hal-04217897v2/document
https://hal.science/hal-04217897v2

Local Limit Theorem for Complex-Valued Sequences

Authors: Coeuret, Lucas

Contributors: Coeuret, Lucas, Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), Dipartimento di Matematica 'Tullio Levi-Civita', Università degli Studi di Padova = University of Padua (Unipd), ANR-17-CE40-0025,Nabuco,Frontières numériques et couplages(2017), ANR-11-LABX-0040,CIMI,Centre International de Mathématiques et d'Informatique (de Toulouse)(2011), ANR-19-P3IA-0004,ANITI,Artificial and Natural Intelligence Toulouse Institute(2019), ANR-21-CE40-0008,Indyana,Dynamiques d'invasion et asymptotiques non triviales(2021)

Source: Asymptotic Analysis. 142:379-431

Subject Terms: difference approximation, local limit theorem, discrete convolution, local limit theorem, difference approximation, stability, 65M12, Probability (math.PR), 42A85, 35K25, 60F99, 65M12, Numerical Analysis (math.NA), stability, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 01 natural sciences, AMS classification MSC: 42A85, 35K25, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], convolution, Mathematics - Numerical Analysis, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, 60F99, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Mathematics - Probability

File Description: application/pdf

Access URL: http://arxiv.org/abs/2201.01514

Energy-Stable and Linearly Well-Balanced Numerical Schemes for the Nonlinear Shallow Water Equations with the Coriolis Force

Authors: Audusse, Emmanuel, Dubos, Virgile, Gaveau, Noémie, Penel, Yohan

Contributors: dubos, virgile, Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Université Sorbonne Paris Nord, Propagation des Ondes : Étude Mathématique et Simulation (POEMS), Unité de Mathématiques Appliquées (UMA), École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Institut Polytechnique de Paris, Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre Inria de Saclay, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut Denis Poisson (IDP), Université d'Orléans (UO)-Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS), Numerical Analysis, Geophysics and Ecology (ANGE), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Centre Inria de Sorbonne Université, Centre Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre Inria de Paris, ANR-17-CE40-0025,Nabuco,Frontières numériques et couplages(2017), European Project: 673315,H2020,H2020-SMEINST-1-2014,DWAVE(2015)

Source: SIAM Journal on Scientific Computing. 47:A1-A23

Subject Terms: MSCcodes: 35L65, 86A05, Shallow Water equations, well-balanced schemes, 65N12, 76M12, energy decreasing schemes, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Coriolis force, 35Q35, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], colocated finite volume schemes

File Description: application/pdf

Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model

Authors: Bidégaray-Fesquet, Brigitte, Jourdana, Clément, Trémant, Léopold

Contributors: Bidégaray-Fesquet, Brigitte, Equations aux Dérivées Partielles (EDP), Laboratoire Jean Kuntzmann (LJK), Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP), Université Grenoble Alpes (UGA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP), Université Grenoble Alpes (UGA), TOkamaks and NUmerical Simulations (TONUS), Institut de Recherche Mathématique Avancée (IRMA), Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Université de Lorraine, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS), Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Inria Nancy - Grand Est

Source: Communications in Mathematical Sciences. 23:731-764

Subject Terms: 65L04, 65L05, rate equations, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], micro-macro decomposition, MSC: 34E13, multi-frequency averaging, Mathematics - Analysis of PDEs, highly-oscillatory problems, Bloch model, 81V80, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], uniform accuracy, Mathematics - Numerical Analysis, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Analysis of PDEs (math.AP)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2308.00372
https://hal.univ-grenoble-alpes.fr/hal-04171818v3
https://hal.univ-grenoble-alpes.fr/hal-04171818v3/document
https://doi.org/10.4310/cms.250208224637

Weighted sparsity and sparse tensor networks for least squares approximation

Authors: Trunschke, Philipp, Eigel, Martin, Nouy, Anthony

Contributors: NANTES UNIVERSITÉ - École Centrale de Nantes (Nantes Univ - ECN), Nantes Université (Nantes Univ), Laboratoire de Mathématiques Jean Leray (LMJL), Centre National de la Recherche Scientifique (CNRS)-Nantes université - UFR des Sciences et des Techniques (Nantes univ - UFR ST), Nantes Université - pôle Sciences et technologie, Nantes Université (Nantes Univ)-Nantes Université (Nantes Univ)-Nantes Université - pôle Sciences et technologie, Nantes Université (Nantes Univ)-Nantes Université (Nantes Univ), Méthodes d'Analyse Stochastique des Codes et Traitements Numériques (GdR MASCOT-NUM), Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques (INSMI-CNRS)-Centre National de la Recherche Scientifique (CNRS), Weierstraß-Institut für Angewandte Analysis und Stochastik = Weierstrass Institute for Applied Analysis and Stochastics Berlin (WIAS), Forschungsverbund Berlin e.V. (FVB) (FVB), ANR-21-CE46-0015,COFNET,Réseaux de fonctions composées: apprentissage adaptatif pour l'approximation en grande dimension et la quantification d'incertitudes(2021)

Source: The SMAI Journal of computational mathematics. 11:289-333

Subject Terms: ddc:510, sample efficiency, alternating least squares, article, 68Q25, Numerical Analysis (math.NA), 15A69 (Primary) 41A30, 62J02, 65Y20, 68Q25 (Secondary), 15A69, 65Y20, [STAT]Statistics [stat], Least squares, FOS: Mathematics, 62J02, Mathematics - Numerical Analysis, 41A30, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], sparse tensor networks

Access URL: http://arxiv.org/abs/2310.08942

Stability estimates for solving Stokes problem with nonconforming finite elements

Authors: Jamelot, Erell

Contributors: JAMELOT, Erell

Source: Comptes Rendus. Mathématique, Vol 363, Iss G2, Pp 115-137 (2025)

Subject Terms: éléments finis mixtes de Fortin-Soulie, opérateur de Fortin, Fortin-Soulie mixed finite elements, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], T-coercitivity, Fortin operator, nonconforming finite elements, Stokes problem, QA1-939, éléments finis non conformes, [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], T-coercitivité, Problème de Stokes, Mathematics

File Description: application/pdf

Access URL: https://doaj.org/article/4ec6b7ab729c44a28376857919f2edc2
https://cea.hal.science/cea-03833616v5/document
https://cea.hal.science/cea-03833616v5
https://doi.org/10.5802/crmath.707

Construction, analysis and implementation of two nodal finite volume schemes for the P N model for particle transport in 2D

Authors: Buet, Christophe, del Pino, Stéphane, Fournet, Victor

Contributors: Fournet, Victor

Source: The SMAI Journal of computational mathematics. 11:39-84

Subject Terms: [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/pdf

Access URL: https://cea.hal.science/cea-04519862v2/document
https://cea.hal.science/cea-04519862v2
https://doi.org/10.5802/smai-jcm.119

A Domain Decomposition Solver for Large Scale Time-Harmonic Flow Acoustics Problems: A domain decomposition solver for large scale time-harmonic flow acoustics problems

Authors: P. Marchner, H. Bériot, S. Le Bras, X. Antoine, C. Geuzaine

Contributors: Marchner, Philippe, ANRT - Association Nationale de la Recherche et de la Technologie, Siemens, FWB - Wallonia-Brussels Federation

Source: SIAM Journal on Scientific Computing. 47:B333-B359

Subject Terms: Sciences informatiques, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Physique, chimie, mathématiques & sciences de la terre, pierce operator, high frequency problems, Acoustic problems, Time-harmonic, [INFO] Computer Science [cs], absorbing boundary conditions, Flow acoustics, Ingénierie, informatique & technologie, Physical, chemical, mathematical & earth Sciences, Optimized Schwarz methods, Performance computing, Pierce operator, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], High-performance computing, Domain decompositions, Absorbing boundary conditions, [SPI.ACOU] Engineering Sciences [physics]/Acoustics [physics.class-ph], Applied Mathematics, high-performance computing, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Computer science, Engineering, computing & technology, Computational Mathematics, Mathématiques, domain decomposition, Absorbing boundary condition, High frequency problems, optimized Schwarz method, Parallel algorithms in computer science, Mathematics

File Description: application/xml; application/pdf

Access URL: https://hdl.handle.net/2268/332678
https://doi.org/10.1137/23M1607040

Stabilization of walls in notched ferromagnetic nanowires

Authors: Gilles Carbou, David Sanchez

Contributors: Sanchez, David

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 59:925-954

Subject Terms: Landau-Lifshitz equation, nanowire, Nonlinear parabolic equations, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], stability, PDEs in connection with optics and electromagnetic theory, ferromagnetism

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/8028643
https://doi.org/10.1051/m2an/2025008
https://hal.science/hal-01810144v2
https://doi.org/10.1051/m2an/2025008
https://hal.science/hal-01810144v2/document

Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems: Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems

Authors: Bellotti, Thomas, Helluy, Philippe, Navoret, Laurent

Contributors: Bellotti, Thomas

Source: SIAM Journal on Scientific Computing. 47:A586-A611

Subject Terms: lattice Boltzmann, entropy stability, transport phase, Gas dynamics (general theory), Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Euler equations, Riemann problem, Cartesian grid, relaxation parameter, [INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA], hyperbolic systems of conservation laws, second-order time-symmetric basic scheme, conservation law, FOS: Mathematics, Particle methods and lattice-gas methods, local relaxation phase, Mathematics - Numerical Analysis, entropy, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, fourth-order

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2403.13406
https://zbmath.org/8005981
https://doi.org/10.1137/24m1646364
https://hal.science/hal-04510582v3
https://hal.science/hal-04510582v3/document
https://doi.org/10.1137/24m1646364