Publications by Author: Barton
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Order by: [Title], [Author], [Editor], [Year]
William F. Feehery, Paul I. Barton
A Differentiation-Based Approach to Dynamic Simulation and Optimization with High-Index Differential-Algebraic Equations
Computational Differentiation: Techniques, Applications, and Tools, SIAM, 1996
not yet classified
William F. Feehery, J. R. Banga, Paul I. Barton
A Novel Approach to Dynamic Optimization of ODE and DAE Systems as High-Index Problems
1995
not yet classified
Kamil A. Khan, Paul I. Barton
A vector forward mode of automatic differentiation for generalized derivative evaluation
Article in Optimization Methods and Software, 2015
Theory & Techniques:
Generalized Jacobian
Derya B. Özyurt, Paul I. Barton
Application of Targeted Automatic Differentiation to Large-Scale Dynamic Optimization
Automatic Differentiation: Applications, Theory, and Implementations, Springer, 2005
Application Area:
Differential-Algebraic Equation, Dynamic Optimization
Tools:
TAMC
Derya B. Özyurt, Paul I. Barton
Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals
Article in SIAM Journal on Scientific Computing, 2005
Application Area:
Engineering, Ordinary Differential Equations
Tools:
TAMC
Theory & Techniques:
Hessian
Paul I. Barton, Kamil A. Khan, Peter Stechlinski, Harry A. J. Watson
Computationally relevant generalized derivatives: theory, evaluation and applications
Article in Special issue of Optimization Methods & Software: Advances in Algorithmic Differentiation, Taylor & Francis, 2018
not yet classified
Gunther Reißig, Wade S. Martinson, Paul I. Barton
Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index
Article in SIAM J. Sci. Comput., 2000
not yet classified
William F. Feehery, Paul I. Barton
Dynamic Simulation and Optimization with Inequality Path Constraints
1996
not yet classified
John E. Tolsma, Paul I. Barton
Efficient Calculation of Sparse Jacobians
Article in SIAM Journal on Scientific Computing, SIAM, 1999
Theory & Techniques:
Sparsity
W. F. Feehery, J. E. Tolsma, Paul I. Barton
Efficient Sensitivity Analysis of Large-Scale Differential-Algebraic Systems
Article in Applied Numerical Mathematics, 1997
Application Area:
Differential-Algebraic Equation
Kamil A. Khan, Paul I. Barton
Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function
Article in ACM Trans. Math. Softw., ACM, 2013
Theory & Techniques:
Generalized Jacobian
Kamil A. Khan, Paul I. Barton
Evaluating an Element of the Clarke Generalized Jacobian of a Piecewise Differentiable Function
Recent Advances in Algorithmic Differentiation, Springer, 2012
not yet classified
John E. Tolsma, Paul I. Barton
Hidden Discontinuities and Parametric Sensitivity Calculations
Article in SIAM Journal on Scientific Computing, SIAM, 2002
Application Area:
Differential-Algebraic Equation
John E. Tolsma, Paul I. Barton
On computational differentiation
Article in Computers & Chemical Engineering, 1998
Theory & Techniques:
Introduction
David Barton
On Taylor series and stiff equations
Article in ACM Trans. Math. Software, 1980
not yet classified
David Barton, I. M. Willers, R. V. M. Zahar
Taylor Series Methods for Ordinary Differential Equations --- An Evaluation
Mathematical Software, Academic Press, 1971
Theory & Techniques:
Taylor Arithmetic
David Barton, I. M. Willers, R. V. M. Zahar
The Automatic Solution of Ordinary Differential Equations by the Method of Taylor Series.
Article in The Computer Journal, 1970
Theory & Techniques:
Taylor Arithmetic

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