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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…
High order methods for irreversible equations
Mariano De Leo, Diego Rial, Constanza Sanchez de la Vega
In this work, we show high order splitting methods of integration without negative steps, allowing us to solve numerically irreversible problems, like reaction-diffusion equations.…
Lie-Trotter method for abstract semilinear evolution equations
Juan Pablo Borgna, Mariano De Leo, Diego Rial +1
In this paper we present a unified picture concerning Lie-Trotter method for solving a large class of semilinear problems: nonlinear Schrödinger, Schröginger--Poisson, Gross--Pitae…