Author:

Abstract:

We detail the implementation of basic operations on multivariate Chebyshev approximations. In most cases, they can be derived directly from well known properties of univariate Chebyshev polynomials. Besides addition, subtraction and multiplication, we discuss integration, indefinite differentiation, indefinite integration and interpolation. The latter three, can be written as matrix-vector products of a structured sparse matrix and the respectively the component vector and function values which might be used in the context of differential equations.