Order by:
[Title],
[Author],
[Editor],
[Year] 

William F. Feehery, Paul I. Barton
A DifferentiationBased Approach to Dynamic Simulation and Optimization with HighIndex DifferentialAlgebraic 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 HighIndex 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 LargeScale Dynamic Optimization
Automatic Differentiation: Applications, Theory, and Implementations, Springer,
2005 
Application Area: DifferentialAlgebraic 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 
Theory & Techniques: Generalized Jacobian


Gunther Reißig, Wade S. Martinson, Paul I. Barton
DifferentialAlgebraic 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 LargeScale DifferentialAlgebraic Systems
Article in
Applied Numerical Mathematics, 1997 
Application Area: DifferentialAlgebraic 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 
Theory & Techniques: Generalized Jacobian


John E. Tolsma, Paul I. Barton
Hidden Discontinuities and Parametric Sensitivity Calculations
Article in
SIAM Journal on Scientific Computing, SIAM,
2002 
Application Area: DifferentialAlgebraic 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
