MICROSCOPE: A Software System for Multivariate Analysis.
Abstract
In Computer Aided Geometric Design and other applications of Multivariate Interpolation and Approximation it is often necessary to build complicated computational procedures. These should have certain properties according to the mathematical theory, but the construction may have failed due to oversights or simple programming errors. This report describes an interactive portable FORTRAN software system, MICROSCOPE, that allows the following questions, among others, to be answered: Given an approximation or interpolation scheme, does the scheme interpolate? How often is the approximant differentiable? What functions does it reproduce exactly? The system also allows the identification of bugs in a FORTRAN implementation of an approximation scheme, often pinpointing the faulty portion of the code within narrow limits. MICROSCOPE is also useful in the corroboration of theoretical results, in guiding a theoretical analysis, and for classroom use. In addition to documenting the program package, this manual also contains a thorough discussion of numerical differentiation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1984
- Accession Number
- ADA144720
Entities
People
- B. Harris
- P. Alfeld
Organizations
- University of Wisconsin–Madison