Discretization Error Equation Error Analysis Let ej=u(ai)-ii be the discretization error u(+1)-2(1)+(m3-1) =f(m1)+T +1-20+创-1 f(a Subtracting 2 +1-2e+ T,1≤3≤ and eo=en+1=0 SMA-HPC⊙2003MT Finite Differences 15
Discretization Error Equation Error Analysis A 已=T e1 u((1+01△ac) 2 2|x(4)(x2+62△a) 12 eN a((Ny+6N△a) SMA-HPC⊙2003MT Finite Differences 16
Discretization Convergence Error Analysis Using the discrete stability estimate on Ae=T ebs≤ar 8 or max u(ai)-<<ee max u)(a) <2<T 960<m<1 A-priori Error Estimate SMA-HPC⊙2003MT Finite Differences 17