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Systems of interacting electrons can show emergent, strong-correlation phenomena. The parquet equations self-consistently relate various propagation amplitudes of many-electron systems and thereby ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

A 2D incompressible Navier-Stokes solver for the classic lid-driven cavity problem, implemented with finite difference method, Runge-Kutta time integrator, and projection method for pressure.

Abstract: In this letter, a 2-D parameter-optimized spatial finite-difference temporal differential (SFDTD) method is presented, referred to as the PO-SFDTD method. First, the dispersion ...

Finite difference methods are numerical techniques used to approximate derivatives and solve differential equations by discretizing the domain into a grid of points. This approach is based on Taylor ...

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Abstract: We developed a finite-difference frequency-domain (FDFD) and a finite-difference time-domain (FDTD) drift-diffusion equations solver that takes the multilayered background into account for ...

A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...