A nonlinear algorithm for monotone piecewise bicubic interpolation

作者：

Highlights：

• We present an algorithm for monotone interpolation on a rectangular mesh.

• We use the sufficient conditions for monotonicity of Carlton and Fritsch.

• We use nonlinear techniques to approximate the partial derivatives at the grid points.

• We develop piecewise bicubic Hermite interpolants with these approximations.

• We present some numerical examples where we compare different results.

摘要

•We present an algorithm for monotone interpolation on a rectangular mesh.•We use the sufficient conditions for monotonicity of Carlton and Fritsch.•We use nonlinear techniques to approximate the partial derivatives at the grid points.•We develop piecewise bicubic Hermite interpolants with these approximations.•We present some numerical examples where we compare different results.

论文关键词：Interpolation,Monotonicity,Hermite,Nonlinear

论文评审过程：Received 14 January 2015, Revised 26 July 2015, Accepted 2 August 2015, Available online 4 September 2015, Version of Record 10 November 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.08.027