Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic hermite interpolation

Journal Article · Sat Apr 01 04:00:00 EST 1989 · Math. Comput.; (United States)

OSTI ID:6134518

Hyman, J M

The Hermite polynomials are simple, effective interpolants of discrete data. These interpolants can preserve local positivity, monotonicity, and convexity of the data if we restrict their derivatives to satisfy constraints at the data points. This paper describes the conditions that must be satisfied for cubic and quintic Hermite interpolants to preserve these properties when they exist in the discrete data. We construct algorithms to ensure that these constraints are satisfied and give numerical examples to illustrate the effectiveness of the algorithms on locally smooth and rough data.

• Research Organization: Center for Nonlinear Studies(US); Theoretical Division, MS B284; Los Alamos National Laboratory Los Alamos, New Mexico 87545
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6134518
• Journal Information: Math. Comput.; (United States), Journal Name: Math. Comput.; (United States) Vol. 52:186; ISSN MCMPA
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990230* -- Mathematics & Mathematical Models-- (1987-1989)
ALGORITHMS
FUNCTIONS
HERMITE POLYNOMIALS
INTERPOLATION
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
POLYNOMIALS