Ismael S. Ledoino

3 Questions 8 Answers 0 Followers

Questions related from Ismael S. Ledoino

Do we have a second order implicit finite difference for advection-diffusion equations in 1D on non-uniform grids?

Consider the advection-diffusion equation ∂/∂t U + ∂/∂x F(U) = ∂/∂x ( D(U) * ∂/∂x U ). I know that on uniform grids we can use central differences to approximate the advection term as ∂/∂x F(U)...

11 June 2024 296 8 View

What is the Integral of Lagrange polynomials? Equivalence between collocation and Runge-Kutta methods?

It is well known that collocation methods are equivalent to Runge-Kutta methods, with the entries of the matrix aij in the Butcher's tableau given by aij = \int _{t_{m-1}}^{t_m+c_i} \ell_{j}(t)...

18 November 2021 4,033 3 View

What are the conditions on projection operators in order to have optimal L^2 numerical estimates?

Mixed finite element methods employ numerical spaces that are, most of the time, something different than the full P^k spaces (polynomials with order up to k). For example, the BDM_k spaces for...

05 January 2021 2,183 2 View