Proceedings of the National Academy of Sciences of the United States of America PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, ...
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 ...
This project explores edge detection in images using central finite difference approximations of image derivatives. It includes Python implementations using OpenCV and NumPy, demonstrating the effect ...
Institute of Statistics and Big Data, Renmin University of China, Beijing 100872, P. R. China Department of Decision Analytics and Operations, City University of Hong Kong, Tat Chee Avenue, Kowloon, ...
Convergence results for bounded time intervals are well known for finite difference approximations to the Cauchy problem for hyperbolic equations. These results typically state that if the initial ...
Abstract: This paper presents an upwind finite-difference method for the numerical approximation of viscosity solutions of a Hamilton-Jacobi-Bellman (HJB) equation governing a class of optimal ...
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.
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