A convergent entropy-dissipating BDF2 finite-volume scheme for a population cross-diffusion system

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
Compact families of piecewise constant functions in $L^p (0,T;B)$
Bound preserving and energy dissipative schemes for porous medium equation
Diversity and dissimilarity coefficients: A unified approach
On interacting populations that disperse to avoid crowding: preservation of segregation
Convergence of finite volume schemes for semilinear convection diffusion equations
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
Nonlocal cross-diffusion systems for multi-species populations and networks
Rigorous mean-field limit and cross-diffusion
On discrete functional inequalities for some finite volume schemes
ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS
Global Dissipativity for A-Stable Methods
Entropy dissipative one‐leg multistep time approximations of nonlinear diffusive equations
Two-step Bdf Time Discretisation of Nonlinear Evolution Problems Governed by Monotone Operators with Strongly Continuous Perturbations
Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
Improved $L^2$ estimate for gradient schemes and super-convergence of the TPFA finite volume scheme
Weak–strong uniqueness of renormalized solutions to reaction–cross-diffusion systems
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System
A Finite-Volume Scheme for a Cross-Diffusion Model Arising from Interacting Many-Particle Population Systems
A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
A variational formulation of the BDF2 method for metric gradient flows
$$L^\infty $$ -Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential