Second-order L1L^{1}L1 convergence of the finite element approximation
Let H=L1([xmin,xmax],R+)H=L^{1}([x_{\min},x_{\max}],\mathbb{R}_{+})H=L1([xmin,xmax],R+), let HNH^{N}HN be the piecewise-constant approximation space generated by the basis functions βiN\beta_i^NβiN, and let fN(t,x)f^{N}(t,x)fN(t,x) solve…