WorldCat Identities

Rall, Louis B.

Overview
Works: 80 works in 160 publications in 2 languages and 1,806 library holdings
Genres: Conference proceedings  Periodicals 
Roles: Editor
Classifications: QA3, 515.7
Publication Timeline
Key
Publications about  Louis B Rall Publications about Louis B Rall
Publications by  Louis B Rall Publications by Louis B Rall
Most widely held works by Louis B Rall
Computational solution of nonlinear operator equations by Louis B Rall ( Book )
19 editions published between 1969 and 1979 in English and Undetermined and held by 437 WorldCat member libraries worldwide
Nonlinear functional analysis and applications by Advanced Seminar on Nonlinear Functional Analysis and Applications ( Book )
9 editions published in 1971 in English and held by 371 WorldCat member libraries worldwide
Error in digital computation by Louis B Rall ( Book )
10 editions published in 1965 in English and Undetermined and held by 359 WorldCat member libraries worldwide
Automatic differentiation : techniques and applications by Louis B Rall ( Book )
8 editions published in 1981 in English and German and held by 347 WorldCat member libraries worldwide
Nonlinear functional analysis and applications : proceedings of an advanced seminar conducted by the Mathematics Research Center, the University of Wisconsin, Madison, October 12-14, 1970 by Advanced Seminar on Nonlinear Functional Analysis and Applications ( Book )
7 editions published between 1971 and 1980 in English and Undetermined and held by 66 WorldCat member libraries worldwide
Automatic Differentiation: Techniques and Applications by Louis B Rall ( )
1 edition published in 1981 in English and held by 24 WorldCat member libraries worldwide
Error in digital computation by Symposium on Error in Digital Computation ( Book )
1 edition published in 1965 in English and held by 19 WorldCat member libraries worldwide
Error in digital computation ( Book )
5 editions published in 1965 in English and held by 19 WorldCat member libraries worldwide
PASCAL-SC : wirkungsvoll programmieren, kontrolliert rechnen ( Book )
1 edition published in 1986 in German and held by 17 WorldCat member libraries worldwide
Software -- Programming Languages
Error in digital computation; proceedings of an advanced seminar conducted by Louis B Rall ( Book )
4 editions published in 1965 in English and held by 15 WorldCat member libraries worldwide
Proceedings of an advanced seminar conducted by the Mathematics Research Center : Madison, October 5-7, 1964 ( Book )
2 editions published in 1965 in English and held by 5 WorldCat member libraries worldwide
INTE : a Univac 1108/1110 program for numerical integration with rigorous error estimation by Julia H Gray ( Book )
2 editions published in 1975 in English and held by 5 WorldCat member libraries worldwide
By use of the concepts of interval analysis, one can construct methods for numerical integration which give rigorous bounds on errors due to imprecise data, round-off, and truncation, and also make possible the detection of the use of incorrect formulas. On the basis of parameters obtained from interval integration formulas, the calculation of numerical integrals can be optimized with respect to time and accuracy. Improved error bounds can also be obtained in certain cases by intersection of interval results. This paper describes a computational system of interval type which has been implemented as a computer program for the UNIVAC 1108/1110, using software previously developed at MRC for interval analysis and automatic differentiation. The program accepts integrands which are functions of a single variable, written as one or more ordinary FORTRAN statements. In addition to the variable of integration, these statements may include one or more parameters to be specified by the user, and the program may be used in interactive or batch mode
Error in digital computation ( Book )
3 editions published in 1965 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Error in digital computation ( Book )
2 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
The Kantorovich theorem and error estimates for Newton's method by Louis B Rall ( Book )
3 editions published in 1970 in English and held by 4 WorldCat member libraries worldwide
In this note the authors derive a simple recurrence relation for the best possible error estimates the Kantorovich theorem can give for Newton's method. This formulation has, as immediate consequences, all previously derived error estimates and some improved error estimates. (Author)
Solution of linear integral equations by the use of invariant functions by Louis B Rall ( Book )
3 editions published in 1968 in English and held by 3 WorldCat member libraries worldwide
A simple method is presented for the solution of linear integral equations. The relationship of this method to the replacement of an integral equation by an infinite system of equations and to the solution of integral equations by the use of characteristic functions (eigenfunctions) is shown, and its application is illustrated by a simple example. (Author)
Pascal-SC : a computer language for scientific computation by Gerd Bohlender ( Book )
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
Software -- Programming Languages
Convergence of Stirling's method in Banach spaces by Louis B Rall ( Book )
2 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
 
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Audience Level
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  Kids General Special  
Audience level: 0.75 (from 0.37 for Nonlinear ... to 0.88 for Pascal-SC ...)
Alternative Names
Rall, L. B.
Rall, L. B. (Louis B.)
Languages
English (79)
German (2)
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