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08/10/2023
Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods
Strong stability is a property of time integration schemes for ODEs that...
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04/03/2023
Convergence of a finite volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system
This article is concerned with the approximation of hyperbolic-parabolic...
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02/21/2023
A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations
An implicit Euler finite-volume scheme for a nonlocal cross-diffusion sy...
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01/09/2023
A convergent entropy-dissipating BDF2 finite-volume scheme for a population cross-diffusion system
A second-order backward differentiation formula (BDF2) finite-volume dis...
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10/28/2021
Analysis of a finite-volume scheme for a single-species biofilm model
An implicit Euler finite-volume scheme for a parabolic reaction-diffusio...
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09/04/2021
Random-batch method for multi-species stochastic interacting particle systems
A random-batch method for multi-species interacting particle systems is ...
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05/12/2021
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems
An implicit Euler finite-volume scheme for general cross-diffusion syste...
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11/17/2020
A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system
An implicit Euler finite-volume scheme for an n-species population cross...
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05/29/2020
A minimizing-movements approach to GENERIC systems
We present a new time discretization scheme adapted to the structure of ...
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01/27/2020
Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms
An implicit Euler finite-volume scheme for a cross-diffusion system mode...
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01/11/2020
Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations
Structure-preserving finite-difference schemes for general nonlinear fou...
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11/26/2019