Tricubic interpolation in three dimensions

By Francois Lekien, Jerrold E. Marsden. 2005

321 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/09f775452cf3514a3988058041e88dd907d5b1f7

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In Atomic and Molecular Physics, and Optics

In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

RASPA: molecular simulation software for adsorption and diffusion in flexible nanoporous materials (2016, methodology): “RASPA implements the triclinic grid interpolation scheme in three dimensions of Lekien and Marsden [45,66].”
Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows (2005, methodology): “For discrete velocity data, a third-order interpolator [22] was used.”
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids (2008, methodology): “We have extended Chopp’s method to three dimensions using C1, isotropic tri-cubic interpolations [26].”
MODELING COLLAPSE AND ACCRETION IN TURBULENT GAS CLOUDS: IMPLEMENTATION AND COMPARISON OF SINK PARTICLES IN AMR AND SPH (2010, methodology): “A higher-order interpolation scheme like the triangular-shaped cloud method or the tri-cubic interpolation (e.g., Lekien & Marsden 2005) does not yield significantly different results, because the gravitational acceleration of the gas is relatively smooth, and a linear interpolation scheme is…”
Lagrangian coherent structures in n-dimensional systems (2007, unknown): “For example, if v is specified on a Cartesian mesh, Lekien and Marsden 2005 provide a C1 tricubic interpolation, which is typically sufficient.”
A Lagrangian Particle Dynamics Approach for Crowd Flow Segmentation and Stability Analysis (2007, methodology): “We use the fourth order Runge-Kutta-Fehlberg algorithm along with cubic interpolation [ 12 ] of the velocity field to solve this system.”
Arbitrarily smooth generalized finite element approximations (2006, background): “Lekien et al. [40] [41] suggested a flow structure called Lagrangian coherent structure.”