2 papers
math.NA2026
A sparse spectral method on a class of domains bounded by planar algebraic curves
Jiajie Yao, Marco Fasondini, Sheehan Olver
We develop a sparse spectral method for solving partial differential equations on a class of two-dimensional geometries bounded by algebraic curves. The numerical method uses gener…
math.NA2022
On a novel numerical quadrature based on cycle index of symmetric group for the Hadamard finite-part integrals
Jiajie Yao, Congcong Xie
To evaluate the Hadamard finite-part integrals accurately, a novel interpolatory-type quadrature is proposed in this article. In our approach, numerical divided difference is utili…