Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

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

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 experiments also indicate that the proposed numerical methods require less computational time than the conventional ones while the formal rate of convergence can be preserved. The ...