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	A new approach to scientific computation         Options: Date Reviewed Title Author Publisher Published Date Descending Order Ascending Order     1-7 of 7 reviews Date Reviewed     Ultra-arithmetic: the digital computer set in function space Miranker W.  A new approach to scientific computation (, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 1981983.  Type: Proceedings The idea of data structure importance and the necessity to use abstract data types is commonplace in computer science (see, for example, [1]). This paper discusses how to implement this idea in scientific computation. Choosing proper d... Jun 1 1985   Computer demonstration packages for standard problems of numerical mathematics Rump S. (ed)  A new approach to scientific computation (, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 491983.  Type: Proceedings This paper uses a PASCAL extension called PASCAL-SC (PASCAL for Scientific Computation) on a Z-80 microprocessor. It demonstrates potential uses of programming packages for standard problems in numerical analysis, including: linear sys... May 1 1985   Evaluation of arithmetic expressions with maximum accuracy Böhm H.  A new approach to scientific computation (, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 1371983.  Type: Proceedings Replacing every operation in an arithmetical expression by a corresponding floating point operation may result in relative rounding error of arbitrary magnitude. Böhm describes an algorithm for maximum accuracy in the e... May 1 1985   Solving function space problems with guaranteed close bounds Kaucher E.  A new approach to scientific computation (, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 1641983.  Type: Proceedings This paper provides a method of solution for functional, differential, and integral equations. The method is based on Schauder’s and Darbo’s fixed point theorems on computation of bounds and existence/uniqueness ve... Mar 1 1985   Solving algebraic problems with high accuracy Rump S. (ed)  A new approach to scientific computation (, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 1201983.  Type: Proceedings Numerical methods for the following applications are surveyed in this paper: solving systems of linear algebraic equations; obtaining the inverse of a given matrix; finding zeros of functions and polynomials; computing eigenvalues and ... Mar 1 1985   A FORTRAN extension for scientific computation Kulisch U.  A new approach to scientific computation (, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 2231983.  Type: Proceedings This paper, a shorter version of an earlier paper [1], proposes a FORTRAN 66 extension based on the computer arithmetic model in an earlier work by Kulisch [2].... Feb 1 1985   MATRIX PASCAL Bohlender G., Böhm H., Gruner K., Kaucher E., Klatte R., Kramer W., Kulisch U., Miranker W., Rump S., Ullrich C., von Gudenberg J.  A new approach to scientific computation (, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 3841983.  Type: Proceedings This is an extension of PASCAL for additional data types (complex, vectors matrices) and related operators. Moreover, intervals of these types can be handled. The concept of numerical precision in computation is important. The edito... Feb 1 1985       Display 510152550100 per column
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