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math.NA2023
Performance of affine-splitting pseudo-spectral methods for fractional complex Ginzburg-Landau equations
Lisandro A. Raviola, Mariano F. De Leo
We evaluate the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations. The methods are based on aff…
math.NA2022
A stabilized local integral method using RBFs for the Helmholtz equation with applications to wave chaos and dielectric microresonators
L. Ponzellini Marinelli, L. Raviola
Most problems in electrodynamics do not have an analytical solution so much effort has been put in the development of numerical schemes, such as the finite-difference method, volum…