Results 21 to 30 of about 93,812 (304)
Application of Generalized (Hyper-) Dual Numbers in Equation of State Modeling
Frontiers in Chemical Engineering, 2021 The calculation of derivatives is ubiquitous in science and engineering. In thermodynamics, in particular, state properties can be expressed as derivatives of thermodynamic potentials. The manual differentiation of complex models can be tedious and error-
Philipp Rehner, Gernot Bauer
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Application of seeding and automatic differentiation in a large scale ocean circulation model [PDF]
Modeling, Identification and Control, 2005 Computation of the Jacobian in a 3-dimensional general ocean circulation model is considered in this paper. The Jacobian matrix considered in this paper is square, large and sparse.
Frode Martinsen, Dag Slagstad
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XAD Automatic Differentiation Library [PDF]
<p>AD is a comprehensive open-source C++ library for automatic differentiation by Xcelerit. It targets production-quality code at any scale, striving for both ease of use and high performance.</p> <p>Key features:</p> <ul>
Xcelerit
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Optimization of Transcription Factor Genetic Circuits
Biology, 2022 Transcription factors (TFs) affect the production of mRNAs. In essence, the TFs form a large computational network that controls many aspects of cellular function. This article introduces a computational method to optimize TF networks. The method extends
Steven A. Frank
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XAD Automatic Differentiation Library [PDF]
, 2022 AD is a fast and comprehensive open-source C++ library for automatic differentiation by Xcelerit. It targets production-quality code at any scale, striving for both ease of use and high performance.
Xcelerit
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Physics-Based Deep Learning for Flow Problems
Energies, 2021 It is the tradition for the fluid community to study fluid dynamics problems via numerical simulations such as finite-element, finite-difference and finite-volume methods.
Yubiao Sun, Qiankun Sun, Kan Qin
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Automatic Differentiation for Solid Mechanics [PDF]
Archives of Computational Methods in Engineering, 2020 30 pages, 9 figures, 2 appendices, accepted on Archives of Computational Methods in ...
Andrea Vigliotti, Ferdinando Auricchio
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A Parameter Refinement Method for Ptychography Based on Deep Learning Concepts
Condensed Matter, 2021 X-ray ptychography is an advanced computational microscopy technique, which is delivering exceptionally detailed quantitative imaging of biological and nanotechnology specimens, which can be used for high-precision X-ray measurements.
Francesco Guzzi +4 more
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Phase retrieval and design with automatic differentiation: tutorial [PDF]
, 2021 The principal limitation in many areas of astronomy, especially for directly imaging exoplanets, arises from instability in the point spread function (PSF) delivered by the telescope and instrument.
Wong, Alison +5 more
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PINNs algorithm and its application in geotechnical engineering
Yantu gongcheng xuebao, 2021 The physical information neural networks (PINNs) algorithm, a new mesh-free algorithm, uses the automatic differential method to embed the partial differential equation directly into the neural networks so as to realize the intelligent solution of the ...
LAN Peng 1, LI Hai-chao 1, YE Xin-yu 1, ZHANG Sheng 1, SHENG Dai-chao 1, 2
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