Research Stefan Becuwe

Abstract

This project represents a formal agreement between UAntwerpen and 29 other parties on PRACE – Sixth Implementation Phase Project. UAntwerpen and its third parties are involved in several work packages as stipulated in this contract.

Researcher(s)

• Promoter: Cuyt Annie
• Co-promoter: Becuwe Stefan

Research team(s)

Project type(s)

• Research Project

Abstract

In this project we want to deliver a performant and validated multiprecision implementation of several classes of special functions (hypergeometric functions, error function, exponetial integral, ...). We will focus on continued fraction approximations. Choosing the appropriate representation, identification of the domain, refining the upper bounds for the truncation error and refining existing techniques to estimate the rounding error are just some of the topics we will consider.

Researcher(s)

• Promoter: Cuyt Annie
• Fellow: Becuwe Stefan

Research team(s)

Project type(s)

• Research Project

Abstract

Reliable algorithms for the computation of multivariate Pade approximants are needed : they are used in CAD-CAM, signal filtering and systems theory. We consider recursive algorithms and continued fractions. We will study the structure of the multivariate table of rational functions in detail and solve questions concerning singularities in the denominator. We believe these problems may be tackled by block bordering methods. Afterwards, we can develop general recursive computation algorithms. The use of continued fractions implices working with a qd-like algorithm. We will try to understand all possible information contained in the qd-table. As a result, an algorithm will be developed which deduces from a series expansion, information about the function itself.

Researcher(s)

• Promoter: Cuyt Annie
• Fellow: Becuwe Stefan

Research team(s)

Project type(s)

• Research Project