function [H, HI, D1, D2, e_1, e_m, M, Q, S_1, S_m] = d2_2(m,h)
    
    BP = 1;
    if(m<2*BP)
        error(['Operator requires at least ' num2str(2*BP) ' grid points']);
    end

    e_1=sparse(m,1);e_1(1)=1;
    e_m=sparse(m,1);e_m(m)=1;

    H=(speye(m,m));H(1,1)=0.5;H(m,m)=0.5;
    H=h*H;
    HI=inv(H);
    
    diags   = -1:1;
    stencil = [-1/2 0 1/2];
    D1 = stripeMatrix(stencil, diags, m);
    
    D1(1,1)=-1;D1(1,2)=1;D1(m,m-1)=-1;D1(m,m)=1;
    D1(m,m-1)=-1;D1(m,m)=1;
    D1=D1/h;

    Q=H*D1 + 1/2*(e_1*e_1') - 1/2*(e_m*e_m');

    diags   = -1:1;
    stencil = [1 -2 1];
    D2 = stripeMatrix(stencil, diags, m);
    
    D2(1,1)=1;D2(1,2)=-2;D2(1,3)=1;
    D2(m,m-2)=1;D2(m,m-1)=-2;D2(m,m)=1;
    D2=D2/h^2;

    S_U=[-3/2, 2, -1/2]/h;
    S_1=sparse(1,m);
    S_1(1:3)=S_U;
    S_m=sparse(1,m);
    S_m(m-2:m)=fliplr(-S_U);


    M=-H*D2-e_1*S_1+e_m*S_m;
    S_1 = S_1';
    S_m = S_m';
end