Fast algorithms for spectral collocation with non-periodic boundary conditions

Fast Algorithms for Spectral Collocation with Non-Periodic Boundary Conditions

Fast Algorithms with Applications to PDEs

The Wave Equation in Non-classic Cases: Non-self Adjoint with Non-local and Non-periodic Boundary Conditions

In this paper has been studied the wave equation in some non-classic cases. In the  rst case boundary conditions are non-local and non-periodic. At that case the associated spectral problem is a self-adjoint problem and consequently the eigenvalues are real. But the second case the associated spectral problem is non-self-adjoint and consequently the eigenvalues are complex numbers,in which two ...

Spectral Collocation Technique for Absorbing Boundary Conditions with Increasingly High Order Approximation

An efficient treatment is developed for the Schrödinger equation with a class of local absorbing boundary conditions, which are obtained by high order Padé expansions. These boundary conditions are significant in the simulation of open quantum devices. Based on the finite difference approximation in the interior domain, we construct a spectral collocation layer on the cell near the artificial b...

Collocation for High-Order Differential Equations with Lidstone Boundary Conditions

Non-periodic boundary conditions for molecular simulations of condensed matter

A formally exact effective boundary potential is defined that can be combined with hard-wall boundary conditions to allow computer simulations to be performed that mimic an infinite system. The effective potential accounts for the interactions that would be present across the boundary if the system were truly infinite. The exact many-body potential is approximated by oneand two-body potentials....