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A new approach to scientific computation
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17 of 7 reviews
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Ultraarithmetic: 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 data types fo...
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 PASCALSC (PASCAL for Scientific Computation) on a Z80 microprocessor. It demonstrates potential uses of programming packages for standard problems in numerical analysis, including: linear systems (also o...
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 evaluation of ari...
May 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 eigenvectors...
Mar 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 verification of the so...
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 editors of this b...
Feb 1 1985
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