Publisher Summary This chapter presents a bibliography of multivariate approximation. Multivariate interpolation and approximation have always been an important part of general Approximation Theory, however, in the past ten years or so, there has been a significant increased interest in multivariate problems. A very substantial number of both theoretical and practical results have been obtained on a variety of topics, ranging from the classical tensor-product methods to the newfangled multivariate splines. In addition to their applicability to such classical problems as data fitting and numerical solution of operator equations, modern multivariate methods have become important in several new applied areas, such as computer-aided design, robotics, and computer-aided tomography.

A bibliography of multivariate approximation

Ren-Hong Wang

Papers

The dimension and basis of spaces of multivariate splines