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Optimal Estimation of Jacobian and Hessian Matrices That Arise in Finite Difference Calculations

Mathematics of Computation, Vol. 43, No. 167 (Jul., 1984), pp. 69-88 (20 pages) In this paper, the problem of estimating Jacobian and Hessian matrices arising in the finite difference approximation of ...
JSTOR Daily

FOURTH-ORDER COMPACT FINITE DIFFERENCE METHODS AND MONOTONE ITERATIVE ALGORITHMS FOR QUASI-LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

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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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 ...
TechRepublic

To Calculate Band Gap in Photonic Crystal in 2D using Finite Difference Time Domain Method

The band gap for 2D PhC with different modes and different lattice structures using FDTD has been computed. Three PBGs between the first and the second bands, between the second and the third bands ...