Abstract: In this article, two Adams–Bashforth-type integration-enhanced discrete-time zeroing neural dynamic (ADTIZD) models are proposed to solve the time-varying complex Sylvester equation (TVCSE) ...

A long-standing fundamental open problem in mathematical fluid dynamics and nonlinear partial differential equations is to determine whether solutions of the 3D incompressible Euler equations can ...

python special-functions arbitrary-precision complex-numbers plotting multiprecision ordinary-differential-equations numerical-methods floating-point numerical-optimization numerical-integration ...

In this paper, we discuss a time domain finite element method for the approximate solution of Maxwell's equations. A weak formulation is derived for the electric and magnetic fields with appropriate ...

This paper introduces a new class of numerical schemes for the pathwise approximation of solutions of stochastic differential equations (SDEs). The proposed family of strong predictor–corrector Euler ...

Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

Simulation of the Rayleigh-Taylor instability using compressible Euler equations. Includes CPU (Python/C) and GPU (CUDA) versions. Benchmarks highlight accuracy (Euler vs RK2), performance, and ...