Backward stochastic differential equations (BSDEs) have emerged as a pivotal mathematical tool in the analysis of complex systems across finance, physics and engineering. Their formulation, generally ...

We consider nonlinear problems of the form f(x, λ, α) = 0, where $x \in \mathBbb{R}$ is a state variable, $\lambda \in \mathBbb{R}$ is a bifurcation parameter ...

Numerical methods for the primitive equations (PEs) of oceanic flow are presented in this paper. First, a two-dimensional Poisson equation with a suitable boundary condition is derived to solve the ...

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...

We’re suckers for good-looking old-school calculators, so this interesting numerical equation-solving calculator by [Peter Balch] caught our attention. Based around the ESP32-WROOM-32 module and an ...

High Performance Computing (HPC) has historically depended on numerical analysis to solve physics equations, simulating the behavior of systems from the subatomic to galactic scale. Recently, however, ...