Chebfun in Three Dimensions
Chebfun in Three Dimensions
We present an algorithm for numerical computations involving trivariate functions in a three-dimensional rectangular parallelepiped in the context of Chebfun. Our scheme is based on low-rank representation through multivariate adaptive cross approximation. The component one-dimensional functions are represented by finite Chebyshev expansions, or trigonometric expansions in the periodic case. Numerical …