Numerical Stability of Interpolation Functions of Cobic Spline
Dechang Cao
Abstract
Dechang Cao
Abstract
Under unequilong interpolation nodes distribution, the effect of errors of both the boundary conditions and interpolation dates on interpolation functions of cubic spline was discussed. The error estimation formulas were given. And numerical stability of interpolation functions of cubic spline was proved.
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Under unequilong interpolation nodes distribution, the effect of errors of both the boundary conditions and interpolation dates on interpolation functions of cubic spline was discussed. The error estimation formulas were given. And numerical stability of interpolation functions of cubic spline was proved.
Key concepts: Spline interpolation, Monotone cubic interpolation, Interpolation (computer graphics), Mathematics, Nearest-neighbor interpolation, Multivariate interpolation, Spline (mechanical), Thin plate spline