| Order by:
[Title],
[Author],
[Editor],
[Year] |
|---|
|
R. Steiger, C. H. Bischof, B. Lang, W. Thiel
Using Automatic Differentiation to Compute Derivatives for a Quantum-Chemical Computer Program
Article in
Future Generation Computer Systems, 2005 |
Application Area:
Chemistry
Tools:
ADIFOR
|
|
|
Claire Lauvernet, Laurent Hascoët, François-Xavier Le Dimet, Frédéric Baret
Using Automatic Differentiation to Study the Sensitivity of a Crop Model
Recent Advances in Algorithmic Differentiation, Springer,
2012 |
Tools:
TAPENADE
|
|
|
William Squire, George Trapp
Using Complex Variables to Estimate Derivatives of Real Functions
Article in
SIAM Review, 1998 |
Theory & Techniques:
Complex Step Differentiation
|
|
|
Thomas F. Coleman, Xin Xiong, Wei Xu
Using Directed Edge Separators to Increase Efficiency in the Determination of Jacobian Matrices via Automatic Differentiation
Recent Advances in Algorithmic Differentiation, Springer,
2012 |
Tools:
ADMAT / ADMIT
Theory & Techniques:
Combinatorics, Computational Graph
|
|
|
Henrik Büsing, Johannes Willkomm, Christian H. Bischof, Christoph Clauser
Using Exact Jacobians in an Implicit Newton Method for Solving Multiphase Flow in Porous Media
Article in
International Journal of Computational Science and Engineering, 2014 |
Application Area:
Geophysics
Tools:
ADiMat
|
|
|
F. D. Bramkamp, H. M. Bücker, A. Rasch
Using Exact Jacobians in an Implicit Newton-Krylov Method
Article in
Computers & Fluids, 2006 |
Application Area:
Computational Fluid Dynamics
Tools:
ADIFOR
|
|
|
Michael C. Bartholomew-Biggs
Using Forward Accumulation for Automatic Differentiation of Implicitly-Defined Functions
Article in
Computational Optimization and Applications, 1998 |
not yet classified
|
|
|
P. Brown, A. C. Hindmarsh, L. R. Petzold
Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
Article in
SIAM Journal on Scientific Computing, 1994 |
not yet classified
|
|
|
Gregory Lantoine, Ryan P. Russell, Thierry Dargent
Using Multicomplex Variables for Automatic Computation of High-Order Derivatives
Article in
ACM Trans. Math. Softw., ACM,
2012 |
Theory & Techniques:
Multicomplex Step Differentiation
|
|
Jeffrey Mark Siskind, Barak A. Pearlmutter
Using Polyvariant Union-Free Flow Analysis to Compile a Higher-Order Functional-Programming Language with a First-Class Derivative Operator to Efficient Fortran-like Code
School of Electrical and Computer Engineering, Purdue University, 2008 |
Theory & Techniques:
Forward Mode, Functional Programming, Higher Order, Nesting
|
|
|
Barak A. Pearlmutter, Jeffrey Mark Siskind
Using Programming Language Theory to Make Automatic Differentiation Sound and Efficient
Advances in Automatic Differentiation, Springer,
2008 |
Theory & Techniques:
Functional Programming
|
|
|
R. Giering, T. Kaminski
Using TAMC to generate efficient adjoint code: Comparison of automatically generated code for evaluation of first and second order derivatives to hand written code from the Minpack-2 collection
Automatic Differentiation for Adjoint Code Generation, INRIA,
1998 |
Application Area:
General
Tools:
TAMC
Theory & Techniques:
Hessian, Performance
|
|
|
Jan Riehme, Uwe Naumann
Using the Differentiation-Enabled NAGWare Fortran 95 Compiler -- A Guided Tour
Conference proceeding,
ECCOMAS 2004: Fourth European Congress on Computational Methods in Applied Sciences and Engineering, European Community on Computational Methods in Applied Sciences,
2004 |
Tools:
NAGWare Fortran 95
|
|
|
D. Elizondo, B. Cappelaere, C. Faure
Using the Odyssée automatic differentiation tool for inverse modeling
24th General Assembly of the EGS - Hydrology, Oceans and Atmosphere, The Hague, April 1999, 1999 |
Application Area:
Geophysics
Tools:
Odyssee
|
|
Stephen L. Campbell, Edward Moore, Yangchun Zhong
Utilization of Automatic Differentiation in Control Algorithms
1992 |
not yet classified
|
|
|
Stephen L. Campbell, Edward Moore, Yangchun Zhong
Utilization of Automatic Differentiation in Control Algorithms
Article in
IEEE Trans. Automatic Control, 1994 |
not yet classified
|
|
|
Olivier Mullier, Alexandre Chapoutot, dit Sandretto, Julien Alexandre
Validated computation of the local truncation error of Runge--Kutta methods with automatic differentiation
Article in
Special issue of Optimization Methods & Software: Advances in Algorithmic Differentiation, Taylor & Francis,
2018 |
not yet classified
|
|
|
R. Baker Kearfott, Siriporn Hongthong
Validated Linear Relaxations and Preprocessing: Some Experiments
Article in
SIAM Journal on Optimization, SIAM,
2005 |
Theory & Techniques:
Interval Arithmetic
|
|
|
W. Tucker
Validated Numerics: A Short Introduction to Rigorous Computations
Princeton University Press,
2011 |
Theory & Techniques:
General
|
|
|
H. J. Eskes, A. J. M. Piters, P. F. Levelt, M. A. F. Allaart, H. M. Kelder
Variational Assimilation of GOME Total-Column Ozone Satellite Data in a 2D Latitude-Longitude Tracer-Transport Model
Article in
J. Atmos. Sci., 1999 |
Application Area:
Meteorology
Tools:
TAMC
Theory & Techniques:
Adjoint
|
