SPHERE, a Program for Computing Buckling Loads of Spherical Shells under uniform Pressure.
CITY UNIV OF NEW YORK RESEARCH FOUNDATION
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SPHERE is the PLI, double precision, computer program used to implement the theory on Instability of thin-walled spherical structures under external pressure by Harry E. Rauch in Contributions to Analysis, Academic Press, New York 1974. It can be adapted quickly to solve any programmed system of simultaneous non-linear algebraic or transcendental equations in as many unknowns as the number of equations. SPHERE is based on the algorithm given in a globally converging secant method with applications to boundary value problems by E. Polok in SIAM J. Num. Anal., 11 1974, pp. 529-537. It is a modified Newton-secant method combined with the method of local variations. Author
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