1 Scope of the Chapter This chapter is concerned with the provision of some commonly occurring physical and mathematical functions. The majority of the routines in this chapter approximate real-valued functions of a single real argument, and the techniques involved are described in Section 2.1. In addition the chapter contains routines for elliptic integrals (see Section 2.2), Bessel and Airy f...

Most programs from scientific computing can benefit from the use of numerical libraries which provide efficient implementations for standard solution methods that often occur in numerical simulations. This is especially true for parallel scientific computing. A methodology that allows the integration of library functions without any additional programming effort would ease this programming styl...

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This paper presents the rationale for a novel approach to providing expressive, teachable, maintainable, and cost-effective special-purpose languages: A Semantically Enhanced Library Language (a SEL language or a SELL) is a dialect created by supersetting a language using a library and then subsetting the result using a tool that “understands” the syntax and semantics of both the underlying lan...