Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...
This is a preview. Log in through your library . Abstract A finite difference scheme for the generalized nonlinear Schrödinger equation with variable coefficients is developed. The scheme is shown to ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
Humans have problems with quantum mechanics. We have excellent intuition about the motion of a tennis ball tossed in the air, but what about an electron trapped in a box? The tendency is to use the ...
In this paper we investigate the effectiveness of alternating direction implicit (ADI) time-discretization schemes in the numerical solution of the three-dimensional Heston-Hull-White partial ...
This is a preview. Log in through your library . Abstract The three equilibrium equations governing the large deflections of thin plates are presented. A finite-difference overrelaxation technique is ...