\(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models
DOI10.1007/s10013-020-00461-9OpenAlexW3120003577MaRDI QIDQ2046190
Laurent Gosse, Gabriella Bretti, Nicolas Vauchelet
Publication date: 17 August 2021
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-020-00461-9
IMEX schemedamped heat equationdissipative kinetic modelwell-balanced (WB) and asymptotic-preserving (AP) numerical scheme
Numerical computation using splines (65D07) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nuclear reactor theory; neutron transport (82D75) Integro-partial differential equations (35R09)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\mathcal L\)-splines and viscosity limits for well-balanced schemes acting on linear parabolic equations
- Elementary solutions of the transport equation and their applications
- Numerical study of a domain decomposition method for a two-scale linear transport equation
- Useful identities for half-space problems in linear transport theory
- Spectral methods in linear transport theory
- Ten ways to generate the Il'in and related schemes
- An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
- Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting
- Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport
- A well-balanced and asymptotic-preserving scheme for the one-dimensional linear Dirac equation
- Harmonic solutions of transport equations
- Exact analytic solutions of transport equations
- Mean values and differential equations
- Numerical High-Field Limits in Two-Stream Kinetic Models and 1D Aggregation Equations
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
- Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability
- A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization
- A Truly Two-Dimensional Discretization of Drift-Diffusion Equations on Cartesian Grids
- Computing Qualitatively Correct Approximations of Balance Laws
- A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer
- Homogeneous difference schemes
- Approximation by local L-splines corresponding to a linear differential operator of the second order
This page was built for publication: \(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models