The numerical approximation of these equations necessitates specialised methods that balance computational efficiency with reliability.

Tian Luan, Fuming Ma, Minghui Liu, ERROR ESTIMATION FOR NUMERICAL METHODS USING THE ULTRA WEAK VARIATIONAL FORMULATION IN MODEL OF NEAR FIELD SCATTERING PROBLEM, Journal of Computational Mathematics, ...

The numerical errors introduced by spectral algorithms typically decrease exponentially as the resolution increases, leading to very accurate solutions. While Fourier spectral methods are a classical ...

Numerical analysis, machine learning and scientific computing In this research field we are developing advanced computational methods centered around efficient solution strategies for partial ...

In this paper, a mass (or normalization) and magnetization conservative and energy-diminishing numerical method is presented for computing the ground state of spin-1 (or F = 1 spinor) Bose-Einstein ...

Numerical Solution of Systems of Linear Equations, Iterative Methods Formulation and analysis of basic stationary methods e.g. Gauss-Jacobi, Gauss-Seidel. The numerical solution of Poisson's equation.

I’ve written about numerical calculations before, but perhaps they weren’t too inspiring. What are numerical calculations? Here is my own definition. Numerical Calculations (numerical methods ...

We're often told it is "unscientific" or "meaningless" to ask what happened before the Big Bang. But a new paper by FQxI ...