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MONOTONE QUADRATIC SPLINE INTERPOLTIONAND ITS APPLICATIONS TO THE CONMPU-TATION OF STATE EQUATIONS
Zhang Bao-Lin
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
1985, 2 (1):
1-7.
This note proues the following result. Let a, b, ya, yb, ya', yb'be real numbers satisfying aab;ya'≥0,yb'≥0;ya'+yb'≤4((yb-ya/(b-a))) then the mo-notone increasing quadratic spline S(x)∈C1[a,b]with knots at a,(a+b)/(2), b existsand is unique, and if ya'+yb'4((yb-ya)/(b-a)), such quadratic interpolating spline do-es not exist.According to this result the paper studies the existence of monotone cuadratic interpolating splines with more knots, and gives a computational method of smoothly Linking up the energy and pressure surfaces between different regions of state equations.
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