prepare_basis: Evaluate basis objects over observation times and quadrature...

In pCODE: Estimation of an Ordinary Differential Equation Model by Parameter Cascade Method

Evaluate basis objects over observation times and quadrature points

Description

Calculate all basis functions over observation time points and store them as columns in a single matrix for each dimension. Also include first and second order derivative. Repeat over quadrature points.

Usage

prepare_basis(basis, times, nquadpts)

Arguments

basis	A basis object.
times	The vector contain observation times for corresponding dimension.
nquadpts	Number of quadrature points will be used later for approximating integrals.

Value

Phi.mat	Evaluations of all basis functions stored as columns in the matrix.
Qmat	Evaluations of all basis functions over quadrature points stored as columns in the matrix.
Q.D1mat	Evaluations of first order derivative all basis functions over quadrature points stored as columns in the matrix.
Q.D2mat	Evaluations of second order derivative all basis functions over quadrature points stored as columns in the matrix.
quadts	Quadrature points.
quadwts	Quadrature weights.

pCODE documentation built on Sept. 8, 2022, 9:06 a.m.