Package index

Discrete calculus

Divided differencing, discrete differentiation, and discrete integration.

divided_diff()

Divided differencing

discrete_deriv()

Discrete differentiation

discrete_integ()

Discrete integration

Matrix multiplication

Multiplication by discrete derivative and falling factorial basis matrices.

d_mat_mult()

Multiply by D matrix

b_mat_mult()

Multiply by B matrix

h_mat_mult()

Multiply by H matrix

Matrix construction

Construction of discrete derivative and discrete spline basis matrices.

d_mat()

Construct D matrix

b_mat()

Construct B matrix

h_mat()

Construct H matrix

n_mat()

Construct N matrix

Basis evaluation

Evaluation of falling factorial and discrete B-spline basis functions.

h_eval()

Evaluate H basis

n_eval()

Evaluate N basis

Interpolation

Interpolation within the “canonical” space of discrete splines.

dspline_interp()

Discrete spline interpolation

Projection

Least squares projection onto “custom” spaces of discrete splines.

dspline_solve()

Discrete spline projection

In-place computations

Divided differencing and matrix multiplication using in-place operations.

.divided_diff() .b_mat_mult() .h_mat_mult()

In-place computations