[1] Numerical simulation of 2-D seismic wave propagation in the presence of a topographic fluid–solid interface at the sea bottom by the curvilinear grid finite-difference method.

This paper is concerned with numerical methods for a class of two-dimensional quasilinear elliptic boundary value problems. A compact finite difference method with a nonisotropic mesh is proposed for ...

MECH.5200 — Graduate Id: 036063 Offering: 1 Credits: 3-3 Description Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods ...

Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...

These include finite difference time domain, beam propagation, optical diffraction tomography, and coupled modes. By the end of the semester, students will thus have both a full toolkit of ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Techniques for analyzing periodic finite difference methods including von Neumann, energy and CFL / domain of dependence techniques. Finite difference methods for parabolic problems in one space ...

The finite-element, finite-difference and finite-volume methods—FEM, FDM and FVM, respectively—are numerical techniques used in engineering and machine design for solving partial differential ...

A free-boundary formulation is considered for the price of American options under jump-diffusion models with finite jump activity. On the free boundary a Cauchy boundary condition holds, due to the ...