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GS534: Solving the 1D Poisson equation using finite differences ...

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u(j) = ( r(j) - a(j)*u(j-1))/bet<br />

enddo<br />

do j=n-1,1,-1<br />

u(j) = u(j) - gam(j+1)*u(j+1)<br />

enddo<br />

return<br />

end<br />

References<br />

Golub, G.H., and C.F. Van Loan, Matrix Computations, 2nd edition, Johns Hopkins University<br />

Press, 1989.<br />

Press, W.H., S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes, <strong>the</strong> art of scientific<br />

computing, 2nd edition, Cambridge University Press, 1992.<br />

Wesseling, P., An introduction to multigrid methods, Wiley and Sons, 1992.<br />

10

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