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检索条件"机构=Software and Tools for Computational Engineering"
44 条 记 录,以下是1-10 订阅
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Parallel Adjoint Taping Using MPI  23rd
Parallel Adjoint Taping Using MPI
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23rd International Conference on computational Science, ICCS 2023
作者: Towara, Markus Kremer, Jannick Naumann, Uwe Software and Tools for Computational Engineering RWTH Aachen University Aachen Germany
The adjoint reversal of long evolutionary calculations (e.g. loops), where each iteration depends on the output of the previous iteration, is a common occurrence in computational engineering (e.g. computational fluid ... 详细信息
来源: 评论
Matrix-Free Jacobian Chaining
arXiv
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arXiv 2024年
作者: Naumann, Uwe Software and Tools for Computational Engineering RWTH Aachen University Germany
The efficient computation of Jacobians represents a fundamental challenge in computational science and engineering. Large-scale modular numerical simulation programs can be regarded as sequences of evaluations of in o... 详细信息
来源: 评论
DIFFERENTIAL INVERSION OF THE IMPLICIT EULER METHOD: SYMBOLIC ANALYSIS
arXiv
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arXiv 2024年
作者: Naumann, Uwe Software and Tools for Computational Engineering RWTH Aachen University Aachen52056 Germany
The implicit Euler method integrates systems of ordinary differential equations dx dt = G(t, x(t)) with differentiable right-hand side G : R × Rn → Rn from an initial state x = x(0) ∈ Rn to a target time t ∈ R... 详细信息
来源: 评论
Season’s Greetings by AD
arXiv
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arXiv 2023年
作者: Naumann, Uwe Software and Tools for Computational Engineering RWTH Aachen University Germany
MSC Codes 00-02We use Algorithmic Differentiation (AD) [1] to implement type-generic tangent and adjoint versions of (formula presented) in C++. We run an instantiation for char-arithmetic and we print the gradient at...
来源: 评论
Differentiable Programming: Efficient Smoothing of Control-Flow-Induced Discontinuities
arXiv
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arXiv 2023年
作者: Christodoulou, Sebastian Naumann, Uwe Software Tools for Computational Engineering RWTH Aachen University Germany
We want to obtain derivatives in discontinuous program code, where default Algorithmic Differentiation may not perform well. Specifically, we consider discontinuities induced by control flow statements, where meaningf... 详细信息
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A MATRIX-FREE NEWTON METHOD
arXiv
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arXiv 2023年
作者: Naumann, Uwe Software and Tools for Computational Engineering RWTH Aachen University Aachen Germany
A modification of Newton’s method for solving systems of n nonlinear equations is presented. The new matrix-free method relies on a given decomposition of the invertible Jacobian of the residual into invertible spars... 详细信息
来源: 评论
Elimination Techniques for Algorithmic Differentiation Revisited
arXiv
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arXiv 2023年
作者: Naumann, Uwe Schneidereit, Erik Märtens, Simon Towara, Markus Software and Tools for Computational Engineering RWTH Aachen University Aachen52056 Germany
All known elimination techniques for (first-order) algorithmic differentiation (AD) rely on Jacobians to be given for a set of relevant elemental functions. Realistically, elemental tangents and adjoints are given ins... 详细信息
来源: 评论
Numerical simulation of differential-algebraic equations with embedded global optimization criteria
arXiv
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arXiv 2023年
作者: Deussen, Jens Hüser, Jonathan Naumann, Uwe Informatik 12 Software and Tools for Computational Engineering RWTH Aachen University Germany
We are considering differential-algebraic equations with embedded optimization criteria (DAEOs) in which the embedded optimization problem is solved by global optimization. This actually leads to differential inclusio... 详细信息
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REDUCTION OF THE RANDOM ACCESS MEMORY SIZE IN ADJOINT ALGORITHMIC DIFFERENTIATION BY OVERLOADING
arXiv
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arXiv 2022年
作者: Naumann, Uwe Informatik 12: Software and Tools for Computational Engineering RWTH Aachen University Germany
Adjoint algorithmic differentiation by operator and function overloading is based on the interpretation of directed acyclic graphs resulting from evaluations of numerical simulation programs. The size of the computer ... 详细信息
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Discrete Interval Adjoints in Unconstrained Global Optimization  6th
Discrete Interval Adjoints in Unconstrained Global Optimizat...
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6th World Congress on Global Optimization, WCGO 2019
作者: Deussen, Jens Naumann, Uwe Software and Tools for Computational Engineering RWTH Aachen University Aachen Germany
We describe how to deploy interval derivatives up to second order in the context of unconstrained global optimization with a branch and bound method. For computing these derivatives we combine the Boost interval libra... 详细信息
来源: 评论