Mercurial > repos > public > sbplib
view +sbp/D2.m @ 255:df3cc9c5dffc operator_remake
Added ordinary 12th order accurate, with D1*D1 as 2nd derivative.
author | Martin Almquist <martin.almquist@it.uu.se> |
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date | Wed, 07 Sep 2016 15:54:41 +0200 |
parents | 07fa0d6a05bb |
children | 87504db14c6d |
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classdef D2 < sbp.OpSet properties norms % Struct containing norm matrices such as H,Q, M boundary % Struct contanging vectors for boundry point approximations derivatives % Struct containging differentiation operators borrowing % Struct with borrowing limits for different norm matrices m % Number of grid points. h % Step size end methods function obj = D2(m,h,order) if order == 2 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary2(m,h); obj.borrowing.M.S = 0.4000; elseif order == 4 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary4(m,h); obj.borrowing.M.S = 0.2508; elseif order == 6 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary6(m,h); obj.borrowing.M.S = 0.1878; elseif order == 8 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary8(m,h); obj.borrowing.M.S = 0.0015; elseif order == 10 [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = sbp.ordinary10(m,h); obj.borrowing.M.S = 0.0351; else error('Invalid operator order %d.',order); end obj.h = h; obj.m = m; obj.norms.H = H; obj.norms.HI = HI; obj.norms.Q = Q; obj.norms.M = M; obj.boundary.e_1 = e_1; obj.boundary.S_1 = S_1; obj.boundary.e_m = e_m; obj.boundary.S_m = S_m; obj.derivatives.D1 = D1; obj.derivatives.D2 = D2; end end methods (Static) function lambda = smallestGrid(obj) error('Not implmented') end end end