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07/19/2023
Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces
This paper introduces the first attempt to employ a localized meshless m...
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01/13/2023
Realistic pattern formations on rough surfaces
We are interested in simulating patterns on rough surfaces. First, we co...
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05/05/2022
A kernel-based meshless conservative Galerkin method for solving Hamiltonian wave equations
We propose a meshless conservative Galerkin method for solving Hamiltoni...
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03/16/2022
Oversampling is a necessity for RBF-collocation method of lines
We study a radial basis functions least-squares (RBF-LS), a.k.a. kernel-...
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11/21/2021
A stochastic extended Rippa's algorithm for LpOCV
In kernel-based approximation, the tuning of the so-called shape paramet...
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09/08/2021
A kernel-based least-squares collocation method for surface diffusion
There are plenty of applications and analysis for time-independent ellip...
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04/14/2020