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math.NA2002★ 5 cited
A new definition of the fractional Laplacian
W. Chen
It is noted that the standard definition of the fractional Laplacian leads to a hyper-singular convolution integral and is also obscure about how to implement the boundary conditio…
math.NA2002★ 5 cited
A study on radial basis function and quasi-Monte Carlo methods
W. Chen, J. He
The radial basis function (RBF) and quasi Monte Carlo (QMC) methods are two very promising schemes to handle high-dimension problems with complex and moving boundary geometry due t…
math.NA2002
Some addenda on distance function wavelets
W. Chen
This report will add some supplements to the recently finished report series on the distance function wavelets (DFW). First, we define the general distance in terms of the Riesz po…