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09/20/2023
Error estimate for regularized optimal transport problems via Bregman divergence
Regularization by the Shannon entropy enables us to efficiently and appr...
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12/13/2022
Numerical analysis for the Plateau problem by the method of fundamental solutions
Towards identifying the number of minimal surfaces sharing the same boun...
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08/01/2022
Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities
In this paper, we consider numerical approximation of constrained gradie...
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05/31/2021
A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions
Hele-Shaw flows with time-dependent gaps create fingering patterns, and ...
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05/01/2021
Asymptotic behavior of fronts and pulses of the bidomain model
The bidomain model is the standard model for cardiac electrophysiology. ...
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12/02/2019
A fully discrete curve-shortening polygonal evolution law for moving boundary problems
We consider the numerical integration of moving boundary problems with t...
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07/24/2019