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On the numerical solution of the one-dimensional Schrödinger equation
(IOP Publishing, 2016-04)
We discuss two sources of error in the numerical calculation of eigenvalues and eigenfunctions of the one-dimensional Schrödinger equation. By means of suitable examples we analyse the effect of both a finite mesh size and ...
Dispersion estimates for Spherical Schrödinger Equations
(Birkhauser Verlag Ag, 2016-11)
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. We also derive several new estimates for solutions of the underlying differential equation and investigate the behavior of the ...
Effective potential for non-coupled stochastic partial differential equations
(Facultad Experimental de Ciencias de la Universidad del Zulia, 2010)
Fisher equation for anisotropic diffusion: Simulating South American human dispersals
(American Physical Society, 2007-09)
The Fisher equation is commonly used to model population dynamics. This equation allows describing reaction-diffusion processes, considering both population growth and diffusion mechanism. Some results have been reported ...
Initial values for Riccati ODEs from variational PDEs
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2011-02)
The recently discovered variational PDEs (partial differential equations) for finding missing boundary conditions in Hamilton equations of optimal control are applied to the extended-space transformation of time-variant ...
Missing observations in stochastic difference equation with arma errorsMissing observations in stochastic difference equation with arma errors
(Sociedade Brasileira de Econometria, 1987)
On space-time properties of solutions for nonlinear evolutionary equations with random initial dataOn space-time properties of solutions for nonlinear evolutionary equations with random initial data
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 1996)
High order computation of the history term in the equation of motion for a spherical particle in a fluid
(Springer/Plenum Publishers, 2004-12)
The historical evolution of the equation of motion for a spherical particle in a fluid and the search for its general solution are recalled. The presence of an integral term that is nonzero under unsteady motion and viscous ...