Showing papers on "Quintic function published in 1984"

Computing contours by successive solution of quintic polynomial equations

Abstract: By a method known from fimte-element theory, bivariate qumtic interpolation polynomials can be determined over triangles (18-degree-of-freedom element with value, slope, and curvature parameters in the nodes). The connections to neighboring polynomials are continuous and smooth. A new method is discussed for computing contour hnes directly from the polynomial coefficients found for each triangle by solving a nonlinear equation for every point of a line. The lines are computed triangle by triangle so that in principal true parallel operation on all triangles is possible. The method is superior in methodical and operational aspects over the traditional way where values are computed over a rectangular grid prior to contour plotting.