Publications by Author: Rall
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Order by: [Title], [Author], [Editor], [Year]
Dennis Kuba, Louis B. Rall
A UNIVAC 1108 program for obtaining rigorous error estimates for approximate solutions of systems of equations
Mathematics Research Center, University of Wisconsin - Madison, 1972
not yet classified
George F. Corliss, Louis B. Rall
Adaptive, Self-Validating Numerical Quadrature
Article in SIAM Journal on Statistical and Scientific Computing, 1987
Theory & Techniques:
Interval Arithmetic
Louis B. Rall, George F. Corliss
An Introduction to Automatic Differentiation
Computational Differentiation: Techniques, Applications, and Tools, SIAM, 1996
Theory & Techniques:
General
Louis B. Rall
Applications of Software for Automatic Differentiation in Numerical Computation
Fundamentals of Numerical Computation (Computer Oriented Numerical Analysis), Springer-Verlag, 1980
not yet classified
L. B. Rall, G. F. Corliss
Automatic Differentiation: Point and Interval
Encyclopedia of Optimization, Kluwer Academic Publishers, 2001
not yet classified
Louis B. Rall
Automatic Differentiation: Techniques and Applications
Springer, 1981
Theory & Techniques:
General
George F. Corliss, Louis B. Rall
Automatic generation of Taylor series in Pascal-SC: Basic operations and applications to differential equations
Trans. of the First Army Conference on Applied Mathematics and Computing (Washington, D.C., 1983), ARO Rep. 84-1, U. S. Army Res. Office, 1984
not yet classified
George F. Corliss, Louis B. Rall
Computing the Range of Derivatives
Computer Arithmetic, Scientific Computation, and Mathematical Modelling, J. C. Baltzer AG, 1991
not yet classified
Louis B. Rall
Differentiation and generation of Taylor coefficients in Pascal-SC
A New Approach to Scientific Computation, Academic Press, 1983
not yet classified
Louis B. Rall
Differentiation Arithmetics
Computer Arithmetic and Self-Validating Numerical Methods, Academic Press, 1990
not yet classified
Louis B. Rall
Differentiation in Pascal-SC: Type GRADIENT
Article in ACM Transactions on Mathematical Software, 1984
Theory & Techniques:
History
Louis B. Rall
Early Automatic Differentiation: The Ch’in-Horner Algorithm
Article in Reliable Computing, 2007
Theory & Techniques:
History
Louis B. Rall, G. Wanner
Experience with Lie series
Article in Meth. und Verfahren der Math. Physik, 1971
not yet classified
Louis B. Rall
Global optimisation using automatic differentiation and interval arithmetic
Mathematics Research Center, University of Wisconsin - Madison, 1985
not yet classified
Louis B. Rall
Gradient Computation by Matrix Multiplication
Applied Mathematics and Parallel Computing, Physica-Verlag, 1996
not yet classified
Julia H. Gray, Louis B. Rall
INTE: A UNIVAC 1108/1110 Program for Numerical Integration with Rigorous Error Estimation
Mathematics Research Center, University of Wisconsin - Madison, 1975
not yet classified
Julia H. Gray, Louis B. Rall
NEWTON: A general purpose program for solving nonlinear equations
Proc. 1967 Army Numerical Analysis Conference, U.S. Army Research Office, 1967
not yet classified
Louis B. Rall
Optimal implementation of differentiation arithmetic
Computerarithmetic: Scientific Computation and Programming Languages, Teubner, B. G., 1987
not yet classified
Louis B. Rall
Perspectives on Automatic Differentiation: Past, Present, and Future?
Automatic Differentiation: Applications, Theory, and Implementations, Springer, 2005
Theory & Techniques:
General, History
Louis B. Rall
Point and Interval Differentiation Arithmetics
Automatic Differentiation of Algorithms: Theory, Implementation, and Application, SIAM, 1991
not yet classified

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