Simon Fraser University

Finite-Difference Approximations of Derivatives

The FD= and FDHESSIAN= options specify the use of finite difference approximations of the derivatives. The FD= option specifies that all derivatives are approximated using function evaluations, and ...
JSTOR Daily

High-Order Finite Differences and the Pseudospectral Method on Staggered Grids

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 ...
JSTOR Daily

FAST FINITE DIFFERENCE APPROXIMATION FOR IDENTIFYING PARAMETERS IN A TWO-DIMENSIONAL SPACE-FRACTIONAL NONLOCAL MODEL WITH VARIABLE DIFFUSIVITY COEFFICIENTS

SIAM Journal on Numerical Analysis, Vol. 54, No. 2 (2016), pp. 606-624 (19 pages) In this paper, we consider an inverse problem for identifying the fractional derivative indices in a two-dimensional ...
EDN

Finite-Difference Time-Domain Method using Yee’s Algorithm

Developed a CUDA version of the FDTD method and achieved a speedup 40x. Implemented on a NVIDIA Quadro FX 3800 GPU, which has 192 SPs, 1GB global memory, and a memory bandwidth of 51.2 GB/s.