A self–contained and tutorial presentation of the diffusion Monte Carlo method for determining the ground state energy and wave function of quantum systems is provided. First, the theoretical basis of the method is derived and then a numerical algorithm is formulated. The algorithm is applied to determine the ground state of the harmonic oscillator, the Morse oscillator, the hydrogen atom, and ...

We propose a way of extending the discontinuous Galerkin method from pure hyperbolic equations to convection-dominated equations with an 0(h) diffusion term. The resulting method is explicit and can be applied with polynomials of degree n > 1 . The extended method satisfies the same 0(hn+ll2) error estimate previously established for the discontinuous Galerkin method as applied to hyperbolic pr...

Multi-view three-dimensional television relies on view synthesis to reduce the number of views being transmitted. Arbitrary views can be synthesized by utilizing corresponding depth images with textures. The depth images obtained from stereo pairs or range cameras may contain erroneous values, which entail artifacts in a rendered view. Post-processing of the data may then be utilized to enhance...