Results 41 to 50 of about 3,216,540 (223)
Reduction of the Adjoint Gradient Formula in the Continuous Limit [PDF]
AIAA Journal, 2003 We present a new continuous adjoint method for aerodynamic shape optimization using the Euler equations, which reduces the computational cost of the gradients by reducing the volume integral part of the adjoint gradient formula to a surface integral. The savings are particularly significant for three-dimensional aerodynamic shape optimization problems ...
Antony Jameson, Sangho Kim
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Approximations of Strongly Continuous Families of Unbounded Self-Adjoint Operators [PDF]
Communications in Mathematical Physics, 2016 22 pages, final version to appear in Commun.
Ben-Artzi, J, Holding, T
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BART Streams: Real‐Time Reconstruction Using a Modular Framework for Pipeline Processing
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To create modular solutions for interactive real‐time MRI using reconstruction algorithms implemented in BART. Methods A new protocol for streaming of multidimensional arrays is presented and integrated into BART. The new functionality is demonstrated using examples for cardiac interactive real‐time MRI based on radial FLASH, where ...
Philip Schaten +4 more
wiley +1 more source
Turbomachinery aerodynamic and aeromechanic design optimization using the adjoint method [PDF]
, 2008 The thesis documents the investigation of the application of the adjoint method to turbomachinery blading design optimization, with emphasis on blading aerodynamic design optimization in a multi-bladerow environment and concurrent blading aerodynamic and
Wang, Dingxi
core
ON CONTINUOUS AND ADJOINT MORPHISMS BETWEEN NON-COMMUTATIVE PRIME SPECTRA [PDF]
Proceedings of the Edinburgh Mathematical Society, 2006 AbstractWe study topological properties of the correspondence of prime spectra associated with a non-commutative ring homomorphism $R\rightarrow S$. Our main result provides criteria for the adjointness of certain functors between the categories of Zariski closed subsets of $\spec R$ and $\spec S$; these functors arise naturally from restriction and ...
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Quarterly Journal of the Royal Meteorological Society, EarlyView.Daily time series of zonal‐mean zonal wind (m·s−1) at 10 hPa and 60° N from 1950 to 2021 from the ERA5 reanalysis. This shows huge variability in some seasons and very little in others. We provide evidence that high‐level observations, radiosonde and satellite, are more important during the extended winter season with its very large variability ...
Bruce Ingleby, Inna Polichtchouk
wiley +1 more source
Hierarchical Differentiable Fluid Simulation
Computer Graphics Forum, EarlyView.We introduce a two‐step algorithm that significantly reduces memory usage for solving control problems using differentiable fluid simulation techniques: our method first optimizes for bulk forces at reduced resolution, then refines local details over sub‐domains while maintaining differentiability. In trading runtime for memory, it enables optimization
Xiangyu Kong +4 more
wiley +1 more source
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
On the singular continuous spectrum of self-adjoint extensions
Mathematische Zeitschrift, 1996 Let \(H\) be a closed symmetric operator in the Hilbert space \({\mathcal H}\) with gap \(J\) and infinite deficiency indices. Given any open subset \(J_0\) of \(J\) we shall give explicitly a selfadjoint extension \(\widetilde {H}\) of \(H\) such that up to some discrete spectrum the spectrum of \(\widetilde {H}\) within the gap \(J\) of \(H\) is ...
Brasche, Johannes, Neidhardt, Hagen
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