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This is one of our series works on discrete energy analysis of the variable-step BDF schemes. In this part, we present stability and convergence analysis of the third-order BDF (BDF3) schemes with variable steps for linear diffusion…

Numerical Analysis · Mathematics 2024-04-24 Hong-lin Liao , Tao Tang , Tao Zhou

We consider the classical molecular beam epitaxy (MBE) model with logarithmic type potential known as no-slope-selection. We employ a third order backward differentiation (BDF3) in time with implicit treatment of the surface diffusion term.…

Numerical Analysis · Mathematics 2021-10-26 Dong Li , Chaoyu Quan , Wen Yang

Grid stars and reference stars provide the fundamental global and local astrometric reference frames for observations by the Space Interferometry Mission. They must therefore be astrometrically stable at the ~1 uas level. I present simple…

Astrophysics · Physics 2009-11-06 Andrew Gould

The Infrared Array Camera (IRAC) on the Spitzer Space Telescope is absolutely calibrated by comparing photometry on a set of A stars near the north ecliptic pole to predictions based on ground-based observations and a stellar atmosphere…

During the last few decades, there has been a growing interest in exact solutions of Einstein equations describing razor-thin disks. Despite the progress in the area, the analytical study of geodesic motion crossing the disk plane in these…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Ronaldo S. S. Vieira , Javier Ramos-Caro , Alberto Saa

We study nonlinear stability of pulled fronts in scalar parabolic equations on the real line of arbitrary order, under conceptual assumptions on existence and spectral stability of fronts. In this general setting, we establish sharp…

Analysis of PDEs · Mathematics 2020-12-07 Montie Avery , Arnd Scheel

A new international Pilot Project for the re-determination of the ICRF was initiated by the International VLBI Service for Geodesy and Astrometry (IVS) in January 2005. The purpose of this project is to compare the individual CRF solutions…

Astrophysics · Physics 2009-03-19 Julia Sokolova , Zinovy Malkin

We present an updated K band (24 GHz) celestial reference frame (CRF) constructed from 3.5 million Very Long Baseline Interferometry (VLBI) observations collected during 211 observing epochs between May 2002 and December 2025 using the Very…

All observations by the aperture photometer (PHT-P) and the far-infrared (FIR) camera section (PHT-C) of ISOPHOT included reference measurements against stable internal fine calibration sources (FCS) to correct for temporal drifts in…

We report on the first three-dimensional hydrodynamic simulations of secular and dynamical non-axisymmetric instabilities in collapsing, rapidly rotating stellar cores which extend well beyond core bounce. The resulting gravitational…

Astrophysics · Physics 2007-05-23 M. Rampp , E. Mueller , M. Ruffert

OCARS (Optical Characteristics of Astrometric Radio Sources) is a compiled catalog of various additional data associated with astrometric radio sources whose coordinates have been determined from very long baseline interferometry (VLBI)…

Instrumentation and Methods for Astrophysics · Physics 2025-05-20 Zinovy Malkin

Context: We introduce the computation of global reference frames from Very Long Baseline Interferometry (VLBI) observations at the Vienna International VLBI Service for Geodesy and Astrometry (IVS) Analysis Center (VIE) in detail. We focus…

Instrumentation and Methods for Astrophysics · Physics 2023-11-08 H. Krásná , L. Baldreich , J. Böhm , S. Böhm , J. Gruber , A. Hellerschmied , F. Jaron , L. Kern , D. Mayer , A. Nothnagel , O. Panzenböck , H. Wolf

A system of globally coupled rotors is studied in a unified framework of microcanonical and canonical ensembles. We consider the Fokker-Planck equation governing the time evolution of the system, and examine various stationary as well as…

Statistical Mechanics · Physics 2009-11-11 J. Choi , M. Y. Choi

In this paper an attempt is made to extract a systematic part from the source motions obtained from the position time series provided by several IVS Analysis Centers in the framework of the ICRF-2 project. Our preliminary results show that…

Instrumentation and Methods for Astrophysics · Physics 2014-05-09 Z. Malkin , E. Popova

We examine the stability of hierarchical triple systems using direct $N$-body simulations without adopting a secular perturbation approximation. We estimate their disruption timescales in addition to the mere stable/unstable criterion, with…

Solar and Stellar Astrophysics · Physics 2022-11-16 Toshinori Hayashi , Alessandro A. Trani , Yasushi Suto

Reference systems and frames are crucial for high precision absolute astrometric work, and their foundations must be well-defined. The current frame, the International Celestial Reference Frame, will be discussed: its history, the use of…

Astrophysics · Physics 2009-11-10 E. B. Fomalont

Fast X-ray Transients (FXTs) are believed to be non-recurrent bright X-ray sources lasting less than a day and occuring at serendipitous positions, they can best detected and discovered by instruments having a sufficiently wide field of…

We present an investigation of the stability of the two chips in the FORS2 camera CCD mosaic on the basis of astrometric observations of stars in 20 sky fields, some of which were monitored for four to seven years. We detected a smooth…

Instrumentation and Methods for Astrophysics · Physics 2026-01-14 P. F. Lazorenko , J. Sahlmann

Infrared observations of stellar orbits about Sgr A* probe the mass distribution in the inner parsec of the Galaxy and provide definitive evidence for the existence of a massive black hole. However, the infrared astrometry is relative and…

Astrophysics of Galaxies · Physics 2023-08-08 Jeremy Darling , Jennie Paine , Mark J. Reid , Karl M. Menten , Shoko Sakai , Andrea Ghez

The black-hole binary system LMC X-3 has been observed by virtually every X-ray mission since the inception of X-ray astronomy. Among the persistent sources, LMC X-3 is uniquely both habitually soft and highly variable. Using a fully…

High Energy Astrophysical Phenomena · Physics 2015-05-19 James F. Steiner , Jeffrey E. McClintock , Ronald A. Remillard , Lijun Gou , Shin'ya Yamada , Ramesh Narayan