Name
Abstract | ||
|---|---|---|
A family of piecewise rational quartic interpolants is given. Identified uniquely by the value of a tension parameter $\lambda_i$, each interpolant of the family can be $C^2$ spline without solving a linear or nonlinear system of consistency equations for the derivative values at the knots. The interpolant can preserve the local convexity/concavity properties of the given data. A proper choice of $\lambda_i$ to guarantee shape preservation is given. A convergence analysis establishes an error bound in terms of $\lambda_i$ and shows that $O(h^3)$ accuracy is obtained for $C^2$ continuity. Several examples are supplied to support the practical value of the method. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/060671577 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
convexity-preserving piecewise rational quartic,shape preservation,proper choice,nonlinear system,concavity property,consistency equation,practical value,convergence analysis,piecewise rational quartic interpolants,derivative value,local convexity | Spline (mathematics),Mathematical optimization,Convexity,Nonlinear system,Linear system,Interpolation,Quartic function,Mathematics,Numerical linear algebra,Piecewise | Journal |
Volume | Issue | ISSN |
46 | 2 | 0036-1429 |
Citations | PageRank | References |
13 | 0.89 | 1 |
Authors | ||
1 | ||