Showing papers in "Applications of Mathematics in 1975"
9 citations
TL;DR: A nongradient method of conjugate directions for minimization of linear systems has the quadratic convergence property and is closely related to the method for linear systems, which makes it possible to use reduced algorithms when the corresponding matrix is sparse.
Abstract: A nongradient method of conjugate directions for minimization id described. The method has the quadratic convergence property and is closely related to the method for linear systems, which makes it possible to use reduced algorithms when the corresponding matrix is sparse.
7 citations
6 citations
6 citations
3 citations
3 citations
TL;DR: On the basis of a detailed analysis of irrotational compressible flow, a model problem describing subsonic stream fields is formulated in this paper, where the authors show that the problem is NP-hard.
Abstract: On the basis of a detailed analysis of irrotational compressible flow a model problem describing subsonic stream fields is formulated.
3 citations
3 citations
3 citations
TL;DR: In this paper, the V. Karman equations of a thin elastic plate are considered and the boundary condition can be given completely in terms of the deflection function and the stress function, and a bifurcation theorem is proved in the first case and an existence theorem in the other.
Abstract: The paper deals with the V. Karman equations of a thin elastic plate. The edges of the rectangular plate are simply supported or clamped and the membrane effects due to the deflection of the plate do not alter its curvature. It is shown that the boundary condition can be given completely in terms of the deflection function and the stress function. After defining the variational solution of the problem two special cases, namely the buckling problem and the bending problem are treated. A bifurcation theorem is proved in the first case and an existence theorem in the other.
2 citations
TL;DR: In this paper, the polynomial approximation to a function in a semi-infinite interval has been worked out by using a variant of Chebyshev polynomials.
Abstract: The polynomial approximation to a function in a semi-infinite interval has been worked out by using a variant of Chebyshev polynomials. The same has been applied to solve the quadrature problem over the said interval.