4 papers · 1 filter
A Pick function approach for designing energy-decay preserving schemes of the Maxwell equations in Havriliak-Negami dispersive media
Baoli Yin, Guoyu Zhang, Yang Liu +1
This work proposes a novel approach for designing high-order energy-decaying schemes for Maxwell's equations in Havriliak-Negami dispersive media. It is shown that conventional con…
Analysis of discrete energy-decay preserving schemes for Maxwell's equations in Cole-Cole dispersive medium
Guoyu Zhang, Ziming Dong, Baoli Yin +2
This work investigates the design and analysis of energy-decay preserving numerical schemes for Maxwell's equations in a Cole-Cole (C-C) dispersive medium. A continuous energy-deca…
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms
Baoli Yin, Guoyu Zhang, Yang Liu +1
The convolution quadrature method originally developed for the Riemann-Liouville fractional calculus is extended in this work to the Hadamard fractional calculus by using the expon…
Construction of high-order robust theta-methods with applications in anomalous models
Baoli Yin, Guoyu Zhang, Yang Liu +1
A general conversion strategy by involving a shifted parameter is proposed to construct high-order accuracy difference formulas for fractional calculus operators. By converting…