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Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems

The Restricted Additive Schwarz method with impedance transmission conditions, also known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple overlapping one-level parallel domain decomposition method...

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Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems

The Restricted Additive Schwarz method with impedance transmission conditions, also known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple overlapping one-level parallel domain decomposition method...

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Friedrich Christoph Oetinger’s Speculative Pietism
Sean J. McGrath
Aug 29, 2018
The influence of Friedrich Christoph Oetinger (1702-82) on Schelling’s work is even deeper than that exerted by Jakob Boehme, deeper, not because Schelling devoted more scholarly attention to Oetinger than he did to the study of...
Friedrich Christoph Oetinger’s Speculative Pietism
Sean J. McGrath
Aug 29, 2018
The influence of Friedrich Christoph Oetinger (1702-82) on Schelling’s work is even deeper than that exerted by Jakob Boehme, deeper, not because Schelling devoted more scholarly attention to Oetinger than he did to the study of...
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition

We prove sharp bounds on certain impedance-to-impedance maps (and their compositions) for the Helmholtz equation with large wavenumber (i.e., at high frequency) using semiclassical defect measures. Gong et al. (Numer. Math....

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Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition

We prove sharp bounds on certain impedance-to-impedance maps (and their compositions) for the Helmholtz equation with large wavenumber (i.e., at high frequency) using semiclassical defect measures. Gong et al. (Numer. Math....

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Technology Addictions and Technostress
In today's technology-centric world, people are becoming increasingly dependent on the Internet. The most common use of the Internet is through social media, which is used to communicate, share, collaborate, and connect....
Winthrop's March 25 Organ Series to Welcome German Musicians Who Are Leading Authorities on Bach, Karg-Elert
Winthrop University
Jan 01, 0001
Winthrop University's International Organ Series brings to campus two German musicians who share a Leipzig connection for a March 25 event entitled "Bach and Beyond -- the Leipzig Organ Tradition." Christoph Wolff is considered...
Published by: Winthrop University
Interpreting the Atmospheric Composition of Exoplanets
Constraining planet formation based on the atmospheric composition of exoplanets is a fundamental goal of the exoplanet community. Existing studies commonly try to constrain atmospheric abundances, or to analyze what...
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A Hydrodynamic Sensory Antenna Used By Killifish for Nocturnal Hunting
Jason S. Schwarz
Jan 01, 0001
The perception of sensory stimuli by an animal requires several steps, commencing with the capture of stimulus energy by an antenna. As the interface between the physical world and sensory transduction, the antenna modifies the...
Published by: Rockefeller University
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids
In this paper we generalize the analysis of classical multigrid and two-level overlapping Schwarz methods for 2nd order elliptic boundary value problems to problems with large discontinuities in the coefficients that are not...
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Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids
In this paper we generalize the analysis of classical multigrid and two-level overlapping Schwarz methods for 2nd order elliptic boundary value problems to problems with large discontinuities in the coefficients that are not...
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RNA Therapeutics for Fibrolamellar Hepatocellular Carcinoma
Christoph Neumayer
Jan 01, 0001
Fibrolamellar hepatocellular carcinoma (FLC) is a rare liver cancer characterized by a recurrent fusion of the heat shock protein DNAJB1 and the catalytic subunit of protein kinase A (PRKACA). Due to limited efficacy of...
Published by: Rockefeller University
Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes
Christoph Kehle
Jul 29, 2020
Abstract: Motivated by the Strong Cosmic Censorship Conjecture for asymptotically Anti-de Sitter (AdS) spacetimes, we initiate the study of massive scalar waves satisfying □gψ-μψ=0 on the interior of AdS black holes. We...
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Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes
Christoph Kehle
Jul 25, 2019
Motivated by the Strong Cosmic Censorship Conjecture for asymptotically Anti-de Sitter (AdS) spacetimes, we initiate the study of massive scalar waves satisfying □gψ-μψ=0 on the interior of AdS black holes. We prescribe initial...
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Diophantine approximation as Cosmic Censor for Kerr–AdS black holes
Christoph Kehle
Feb 22, 2022
AbstractThe purpose of this paper is to show an unexpected connection between Diophantine approximation and the behavior of waves on black hole interiors with negative cosmological constant...
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A Scattering Theory for Linear Waves on the Interior of Reissner–Nordström Black Holes
We develop a scattering theory for the linear wave equation □ψ=0 on the interior of Reissner-Nordström black holes, connecting the fixed frequency picture to the physical space picture. Our main result gives the existence...
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Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes
Christoph Kehle
Jun 06, 2020
Abstract: Motivated by the Strong Cosmic Censorship Conjecture for asymptotically Anti-de Sitter (AdS) spacetimes, we initiate the study of massive scalar waves satisfying □gψ-μψ=0 on the interior of AdS black holes. We...
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