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Titlebook: Numerical Analysis; Proceedings of the 1 David F. Griffiths Conference proceedings 1984 Springer-Verlag Berlin Heidelberg 1984 Analysis.Der

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An implicit diffusive numerical procedure for a slightly compressible miscible displacement problemphase miscible displacement problem in a porous medium. This scheme has several desirable features including a substantial reduction of the "grid orientation" effect often observed with other methods. Theoretical convergence analyses for rectangular regions and computational results for this method are presented.
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Nonconvex minimization calculations and the conjugate gradient method,o that some variable metric algorithms for unconstrained optimization need not converge. However, a global convergence theorem is proved for the Fletcher-Reeves version of the conjugate gradient method.
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