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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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05/04/2023
FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization
Federated learning is an important framework in modern machine learning ...
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04/13/2023
A static memory sparse spectral method for time-fractional PDEs in arbitrary dimensions
We introduce a method which provides accurate numerical solutions to fra...
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03/29/2023
Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances
We develop structure preserving schemes for a class of nonlinear mobilit...
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02/24/2022
Can the clocks tick together despite the noise? Stochastic simulations and analysis
The suprachiasmatic nucleus (SCN), also known as the circadian master cl...
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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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09/02/2021
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension
We present a numerical approach for computing attractive-repulsive power...
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12/31/2020
An Optimal Mass Transport Method for Random Genetic Drift
We propose and analyze an optimal mass transport method for a random gen...
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10/30/2020
Computing Equilibrium Measures with Power Law Kernels
We introduce a method to numerically compute equilibrium measures for pr...
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08/19/2020
A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles
The continuum description of active particle systems is an efficient ins...
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07/21/2020
Enhancement of damaged-image prediction through Cahn-Hilliard Image Inpainting
We assess the benefit of including an image inpainting filter before pas...
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07/03/2020
Variational Asymptotic Preserving Scheme for the Vlasov-Poisson-Fokker-Planck System
We design a variational asymptotic preserving scheme for the Vlasov-Pois...
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04/11/2020
High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy
We propose high-order well-balanced finite-volume schemes for a broad cl...
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03/08/2020
Lagrangian schemes for Wasserstein gradient flows
This paper reviews different numerical methods for specific examples of ...
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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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12/19/2019
Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics
In this paper, we study the equilibria of an anisotropic, nonlocal aggre...
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10/11/2019
A Finite-Volume Method for Fluctuating Dynamical Density Functional Theory
In this work we introduce a finite-volume numerical scheme for solving s...
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10/07/2019
A particle method for the homogeneous Landau equation
We propose a novel deterministic particle method to numerically approxim...
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08/21/2018