On Shape-Preserving Interpolation and Semi-Lagrangian Transport

DOI10.1137/0911039zbMath0707.65007OpenAlexW2014075694MaRDI QIDQ3489349

Philip J. Rasch, David L. Williamson

Publication date: 1990

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0911039

zbMATH Keywords

monotoneBernstein polynomialsadvectionconvexshape-preserving interpolationarithmetic, harmonic, and geometric meanpiecewise Hermite cubicpiecewise rational

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05)

Related Items (17)

An improved bounded semi-Lagrangian scheme for the turbulent transport of passive scalars ⋮ Comparison of numerical advection schemes in two-dimensional turbulence simulation ⋮ Adaptive numerical advection. The coordinate transformation equation method ⋮ Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions ⋮ The moving mesh semi-Lagrangian MMSISL method ⋮ Variations on Hermite Methods for Wave Propagation ⋮ A class of monotone interpolation schemes ⋮ A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid ⋮ A fast semi-Lagrangian contouring method for moving interfaces ⋮ An operator splitting algorithm for the three-dimensional advection-diffusion equation ⋮ Error estimates for semi-Lagrangian finite difference methods applied to Burgers' equation in one dimension ⋮ Semi-Lagrangian schemes for linear and fully non-linear diffusion equations ⋮ A fast modular semi-Lagrangian method for moving interfaces ⋮ An operator splitting algorithm for coupled one-dimensional advection-diffusion-reaction equations ⋮ Numerical analyses of operator-splitting algorithms for the two-dimensional advection-diffusion equation ⋮ Semi-Lagrangian methods for level set equations ⋮ Tree methods for moving interfaces

Uses Software

• pchip

This page was built for publication: On Shape-Preserving Interpolation and Semi-Lagrangian Transport