Results 41 to 50 of about 73 (70)
Discrete-Time Orthogonal Spline Collocation Methods For Schrödinger Equations In Two Space Variables
. Two discrete-time orthogonal spline collocation schemes are formulated and analyzed for solving the linear time-dependent Schrodinger equation in two space variables. These are CrankNicolson and alternating direction implicit (ADI) schemes employing C
Graeme Fairweather +2 more
core
Decoupled Smooth Interfaces for Spectral-Element Approximations of Parabolic or Elliptic Type
A method is examined to approximate the interface conditions for Chebyshev polynomial approximations to the solutions of parabolic problems, and a smoothing technique is used to calculate the interface conditions for a domain decomposition method.
Kelly Black
core
Single Step Smooth Interface for Parabolic Spectral Elements
A method is examined to calculate a smooth interface for spectral elements. The idea of the method is to find a polynomial of one less degree that interpolates the interior and one side of a subdomain.
Kelly Black
core
Some unconditionally stable time stepping methods for the 3-D Maxwell's equations
Almost all the di#culties that arise in the numerical solution of Maxwell's equations are due to material interfaces. In case that their geometrical features are much smaller than a typical wave length, one would like to use small space steps with ...
Jongwoo Lee, Bengt Fornberg
core
Orthogonal Spline Collocation Methods For Schrödinger-Type Equations In One Space Variable
. We examine the use of orthogonal spline collocation for the semi-discretization of the cubic Schrodinger equation and the two-dimensional parabolic equation of Tappert.
Graeme Fairweather, Mark P. Robinson
core
High order explicit energy preserving Lie group method for some Hamiltonian systems
Jianqiang Sun
core +1 more source
A Numerical Approach of the sentinel method for distributed parameter systems
Traore Aboubakari +2 more
doaj +1 more source
Nonlocalization of singular potentials in quantum dynamics
Lili Su, Sihong Shao
core +1 more source
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