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Source Transformation for MATLAB Automatic Differentiation. [PDF]
, 2005 We present MSAD, a source transformation implementation of forward mode automatic differentiation for MATLAB. MSAD specialises and inlines operations from the fmad and derivvec classes of the MAD package.
Forth, Shaun A. +3 more
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Jacobian Code Generated by Source Transformation and Vertex Elimination can be as Efficient as Hand-Coding [PDF]
, 2004 This article presents the first extended set of results from ELIAD, a source- transformation implementation of the vertex-elimination Automatic Differentiation approach to calculating the Jacobians of functions defined by Fortran code (Griewank and ...
Reid, John K. +7 more
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ACORNS: An easy-to-use code generator for gradients and Hessians
SoftwareX, 2022 The computation of first and second-order derivatives is a staple in many computing applications, ranging from machine learning to scientific computing. We propose an algorithm to automatically differentiate algorithms written in a subset of C99 code and
Deshana Desai +4 more
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Automatic differentiation algorithms in model analysis [PDF]
, 2002 Title: Automatic differentiation algorithms in model analysisAuthor: M.J. HuiskesDate: 19 March, 2002In this thesis automatic differentiation algorithms and derivative-based methods are combined to develop efficient tools for model analysis.
Huiskes, M.J. (Mark) +2 more
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A Formulation of nonlinear model predictive control using automatic differentiation [PDF]
, 2005 An efficient algorithm is developed to alleviate the computational burden associated with nonlinear model predictive control (NMPC). The new algorithm extends an existing algorithm for solutions of dynamic sensitivity from autonomous to non-autonomous ...
Cao, Yi
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The New Approach to Analysis of Thin Isotropic Symmetrical Plates
Applied Sciences, 2020 A new approach to solve plate constructions using combined analytical and numerical methods has been developed in this paper. It is based on an exact solution of an equilibrium equation.
Mykhaylo Delyavskyy, Krystian Rosiński
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A Hitchhiker’s Guide to Automatic Differentiation [PDF]
Numerical Algorithms, 2015 39 pages, 10 figures, Numerical Algorithms (2015)
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Symbolic and automatic differentiation of languages [PDF]
Proceedings of the ACM on Programming Languages, 2021 Formal languages are usually defined in terms of set theory. Choosing type theory instead gives us languages as type-level predicates over strings. Applying a language to a string yields a type whose elements are language membership proofs describing how a string parses in the language.
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Automatic Differentiation Bibliography [PDF]
, 1992 This is a bibliography of work related to automatic differentiation. Automatic differentiation is a technique for the fast, accurate propagation of derivative values using the chain rule. It is neither symbolic nor numeric. Automatic differentiation is a
Corliss, G. F.
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Optimization of a Micromixer with Automatic Differentiation
Fluids, 2022 As micromixers offer the cheap and simple mixing of fluids and suspensions, they have become a key device in microfluidics. Their mixing performance can be significantly increased by periodically varying the inlet pressure, which leads to a non-static ...
Julius Jeßberger +5 more
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