Coarse grain automatic differentiation: A practical approach to fast and exact computation of first and second order derivatives in software

Second Order ◽

Practical Approach ◽

Coarse Grain ◽

Coarse Grain Automatic Differentiation: A Practical Approach to Fast and Exact Computation of First and Second Order Derivatives in Software

SSRN Electronic Journal ◽

10.2139/ssrn.2913627 ◽

2017 ◽

Author(s):

Henri-Olivier Duche ◽

Francois Galilee

Keyword(s):

Second Order ◽

Practical Approach ◽

Coarse Grain ◽

Exact computation of maximal allowable delay for general second‐order multi‐agents consensus

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5488 ◽

2021 ◽

Author(s):

Dan Ma ◽

Jie Chen ◽

Tianyou Chai

Keyword(s):

Second Order ◽

Exact Computation ◽

Multi Agents

Automatic Differentiation for Numerically Exact Computation of Tangent Operators in Small- and Large-Deformation Computational Inelasticity

TMS 2014: 143rd Annual Meeting & Exhibition ◽

10.1007/978-3-319-48237-8_38 ◽

2014 ◽

pp. 289-296 ◽

Cited By ~ 1

Author(s):

Qiushi Chen ◽

Jakob T. Ostien ◽

Glen Hansen

Keyword(s):

Large Deformation ◽

First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods

10.2514/6.1994-4262 ◽

1994 ◽

Keyword(s):

Iterative Methods ◽

Second Order ◽

Sensitivity Derivatives

Automatic Differentiation for Numerically Exact Computation of Tangent Operators in Small- and Large-Deformation Computational Inelasticity

TMS 2014 Supplemental Proceedings ◽

10.1002/9781118889879.ch38 ◽

2014 ◽

pp. 289-296

Author(s):

Qiushi Chen ◽

Jakob T. Ostien ◽

Glen Hansen

Keyword(s):

Large Deformation ◽

Proceedings of the 1997 international symposium on Symbolic and algebraic computation - ISSAC '97 ◽

Algorithms and design for a second-order automatic differentiation module

10.1145/258726.258770 ◽

1997 ◽

Cited By ~ 11

Author(s):

Jason Abate ◽

Christian Bischof ◽

Lucas Roh ◽

Alan Carle

Keyword(s):

Second Order

First- and Second-Order Aerodynamic Sensitivity Derivatives via Automatic Differentiation with Incremental Iterative Methods

Journal of Computational Physics ◽

10.1006/jcph.1996.0252 ◽

1996 ◽

Vol 129 (2) ◽

pp. 307-331 ◽

Cited By ~ 83

Author(s):

Laura L. Sherman ◽

Arthur C. Taylor III ◽

Larry L. Green ◽

Perry A. Newman ◽

Gene W. Hou ◽

...

Keyword(s):

Iterative Methods ◽

Second Order ◽

Sensitivity Derivatives

Matrix-free second-order methods in implicit time integration for compressible flows using automatic differentiation

International Journal of Computational Science and Engineering ◽

10.1504/ijcse.2014.064534 ◽

2014 ◽

Vol 9 (5/6) ◽

pp. 484 ◽

Cited By ~ 1

Author(s):

Frank D. Bramkamp ◽

Bernhard Pollul ◽

Arno Rasch ◽

Gero Schieffer

Keyword(s):

Compressible Flows ◽

Time Integration ◽

Second Order ◽

Implicit Time ◽

Implicit Time Integration ◽

Matrix Free ◽

Second Order Methods

Parallelism-preserving automatic differentiation for second-order array languages

10.1145/3471873.3472975 ◽

2021 ◽

Author(s):

Adam Paszke ◽

Matthew J. Johnson ◽

Roy Frostig ◽

Dougal Maclaurin

Keyword(s):

Second Order

Simplifying Multivariate Second-Order Response Surfaces by Fitting Constrained Models Using Automatic Differentiation

Technometrics ◽

10.1198/004017005000000148 ◽

2005 ◽

Vol 47 (3) ◽

pp. 249-259 ◽

Cited By ~ 3

Author(s):

Trevor J Ringrose ◽

Shaun A Forth

Keyword(s):

Response Surfaces ◽

Second Order ◽

Constrained Models