Francisco de la Hoz

Doubly Connected

We prove existence of doubly connected

V

V

-States for the Planar Euler Equations

-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated

An integrating factor for nonlinear Dirac equations

V

Numerical simulation of the N-dimensional sine-Gordon equation via operational matrices

-states we obtain enjoy an

Numerical simulations of time-dependent partial differential equations

m

Numerical Study of a Flow of Regular Planar Curves That Develop Singularities at Finite Time

-fold symmetry for some

A pseudo-spectral method for a non-local KdV–Burgers equation posed on R

m \geq 3

The Vortex Filament Equation as a Pseudorandom Generator

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On the Relationship between the One-Corner Problem and the

Abstract This paper presents an efficient integrating-factor method for solving a nonlinear Dirac equation (NLD). Starting with the simplest case of one space-variable, this method, unlike other approaches proposed in the bibliography, can be easily extended to problems with more space-variables. Our algorithm is implemented in Matlab© and the numerical experiments performed reveal its effectiveness and reliability.