Abstract: The unconditionally stable (US) Chebyshev (CS) finite-difference time-domain (FDTD) method is extended for solving the problems of long-time simulation or harmonic resonance using a ...

Gene knockdown is a common method for studying gene function by reducing messenger ribonucleic acid (mRNA) levels without altering the deoxyribonucleic acid (DNA). Among the available techniques, RNA ...

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 ...

PythoC lets you use Python as a C code generator, but with more features and flexibility than Cython provides. Here’s a first look at the new C code generator for Python. Python and C share more than ...

ABSTRACT: The solution of the Riemann Problem (RP) for the one-dimensional (1D) non-linear Shallow Water Equations (SWEs) is known to produce four potential wave patterns for the scenario where the ...

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 ...

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

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.

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 ...