JSTOR Daily

A Survey of Some Applications of Probability and Stochastic Control Theory to Finite Difference Methods for Degenerate Elliptic and Parabolic Equations

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 ...
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.
IEEE

Gate Efficient Composition of Hamiltonian Simulation and Block-Encoding with its Application on HUBO, Chemistry and Finite Difference Method

Abstract: This article proposes a formalism which unifies Hamiltonian simulation techniques from different fields. This formalism leads to a competitive method to construct the Hamiltonian simulation ...
IEEE

Numerical Simulation Method and Application of High-Performance Acoustic Remote Detection Imaging in Fractured Reservoirs

Abstract: Imaging of fracture morphology and orientation through acoustic remote detection technology is crucial for the efficient exploration and development of fractured reservoirs. The 2-D elastic ...
Risk

Numerical simulation and applications of the convection–diffusion–reaction equation with the radial basis function in a finite-difference mode

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

What’s The Difference Between FEM, FDM and FVM?

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...
JSTOR Daily

OPTIMAL ERROR ESTIMATES OF FINITE DIFFERENCE METHODS FOR THE GROSS-PITAEVSKII EQUATION WITH ANGULAR MOMENTUM ROTATION

We analyze finite difference methods for the Gross-Pitaevskii equation with an angular momentum rotation term in two and three dimensions and obtain the optimal convergence rate, for the conservative ...