hotrod: Heat Kernel for a One-Dimensional Rod

In spatstat.geom: Geometrical Functionality of the 'spatstat' Family

Description

Calculate values of the heat kernel on a one-dimensional rod. The ends of the rod may be assumed to be insulated, or absorbing.

Usage

hotrod(len, xsource, xquery, sigma, ends=c("insulated", "absorbing"), nmax=20)

Arguments

len	Length of the rod. A single number or numeric vector.
xsource	Positions of the source points, from the left end of the rod (in the same distance units as len). A single number or numeric vector.
xquery	Positions of the query points, from the left end of the rod (in the same distance units as len). A single number or numeric vector.
sigma	Bandwidth for kernel. A single number or a numeric vector.
ends	Character string (partially matched) specifying whether the ends of the rod are assumed to be insulated or absorbing.
nmax	Number of terms in the infinite sum to use. A single integer or an integer vector.

Details

Computes the heat kernel as an infinite sum.

Value

Number or numeric vector.

Author(s)

Greg McSwiggan and \adrian.

Examples

  curve(hotrod(1, 0.1, x, 0.7))

  # check it's a probability density
  f <- function(x) hotrod(1, 0.1, x, 0.7)
  integrate(f, 0, 1)

  ## absorbing ends
  curve(hotrod(1, 0.1, x, 0.7, ends="a"))

spatstat.geom documentation built on April 15, 2021, 9:06 a.m.