In the method of lines, the eigensolutions for the difference operator for the electric field can be calculated from the corresponding eigensolutions for the magnetic field. For an arbitrary ...

High-order split-step unconditionally-stable finite-difference time-domain (FDTD) methods in three-dimensional (3-D) domains are presented. Symmetric operator and uniform splitting are adopted ...

The folders in this repository contain the code developed in the paper: "Numerical Methods for a Diffusive Class of Nonlocal Operators." Journal of Scientific Computing 88.1 (2021): 1-40. The main ...

Discover how finite difference type preconditioners for spectral element discretizations based on Legendre-Gauss-Lobatto points can effectively approximate uniformly elliptic partial differential ...

The Julia library SummationByPartsOperators.jl provides a unified interface of different discretization approaches including finite difference, Fourier pseudospectral, continuous Galerkin, and ...

Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern ...

Since the numerical rate of convergence using FTCSCO and NSFDCO is not close to the theoretical rate of convergence for α = 0.75, 0.90, and 0.95 as depicted in Tables 2–4, we propose to construct ...