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math.NA2023
On the completely positive kernels for nonuniform meshes
Yuanyuan Feng, Lei Li
The complete positivity, i.e., positivity of the resolvent kernels, for convolutional kernels is an important property for the positivity property and asymptotic behaviors of Volte…
math.NA2023
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations and time fractional ordinary differential equations
Yuanyuan Feng, Lei Li
We study in this paper the monotonicity properties of the numerical solutions to Volterra integral equations with nonincreasing completely positive kernels on nonuniform meshes. Th…