Single-stage or single-step high-order temporal discretizations of partial differential equations (PDEs) have shown great promise in delivering high-order accuracy in time with efficient use of ...
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.
Abstract: To address the issues of low measurement accuracy, limited applicability, and laboriousness of traditional methods for detecting buried metal-to-soil potential (BMSP), we proposed an ...
Abstract: The Finite-Difference Time-Domain (FDTD) method is a popular numerical approach for solving Maxwell's equations in the time domain. While the FDTD method has been extensively applied to ...
Finite difference methods for degenerate linear and (certain) nonlinear elliptic and parabolic equations are analyzed from a probabilistic point of view, and probabilistic methods are used to show ...
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 ...
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