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09/15/2023
A Finite-Volume Scheme for Fractional Diffusion on Bounded Domains
We propose a new fractional Laplacian for bounded domains, expressed as ...
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10/15/2021
Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation
We propose finite-volume schemes for general continuity equations which ...
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06/16/2021
Projective and Telescopic Projective Integration for Non-Linear Kinetic Mixtures
We propose fully explicit projective integration and telescopic projecti...
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02/25/2020
Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations
We study an implicit finite-volume scheme for non-linear, non-local aggr...
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08/21/2018