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The influence of sea-level changes on geodetic datums along the east coast of China / Yang Liu in Marine geodesy, vol 44 n° 1 (January 2021)  

Public [article]  inMarine geodesy > vol 44 n° 1 (January 2021) . - pp 26 - 41 Titre : The influence of sea-level changes on geodetic datums along the east coast of China Type de document : Article/Communication Auteurs : Yang Liu, Auteur ; Chuanyin Zhang, Auteur ; Baogui Ke, Auteur ; et al., Auteur Année de publication : 2021 Article en page(s) : pp 26 - 41 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] analyse harmonique [Termes IGN] champ de pesanteur terrestre [Termes IGN] changement du niveau de la mer [Termes IGN] Chine [Termes IGN] déformation de la croute terrestre [Termes IGN] données géodésiques [Termes IGN] données spatiotemporelles [Termes IGN] fonction de Green [Termes IGN] littoral [Termes IGN] surveillance du littoral [Termes IGN] système de référence local Résumé : (Auteur) Non-tidal variation on sea level generates immediate changes in gravity field and deformation of the Earth’s crust, thus influencing the stability of geodetic datums. To achieve higher accuracy of geodetic datums in coastal and island areas, sea-level changes should be adequately considered when conducting the maintenance of datums. Based on the data of sea-level anomalies from 2014 to 2017 and the theory of load-deformation of elastic spherical earth, this paper demonstrates that impacts of non-tidal ocean load can be quantitatively calculated on geodetic datums along the east coast of China, by using removerestore technique and combining spherical harmonic analysis of gravity field and Green’s functions to calculate loads. Temporal and spatial analyses on the impacts are conducted with Continuously Operating Reference Stations (CORS) sites along the coast and on the islands. This paper has drawn some conclusions as follows: (1) The impact of non-tidal ocean loads on the east coastal geoid ranges from ?4.16 to 4.17mm, that on ground gravity ranges from ?15.44 to 17.02 some conclusions as follows: (1) The impact oranges from ?7.55 to 6.69mm. (2) The impacts are dominated by annual and semi-annual cycles. (3) The impacts appear to be more prominent in coastal areas and on islands than in inland areas. Numéro de notice : A2021-058 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1080/01490419.2020.1835757 date de publication en ligne : 06/11/2020 En ligne : https://doi.org/10.1080/01490419.2020.1835757 Format de la ressource électronique : URL Article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=96847 [article]

Spheroidal spline interpolation and its application in geodesy / Mostafa Kiani in Geodesy and cartography, vol 46 n° 3 (October 2020)  

Public [article]  inGeodesy and cartography > vol 46 n° 3 (October 2020) . - pp 123 - 135 Titre : Spheroidal spline interpolation and its application in geodesy Type de document : Article/Communication Auteurs : Mostafa Kiani, Auteur ; Nabi Chegini, Auteur ; Abdolreza Safari, Auteur Année de publication : 2020 Article en page(s) : pp 123 - 135 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] analyse harmonique [Termes IGN] espace de Hilbert [Termes IGN] fonction de Green [Termes IGN] fonction spline d'interpolation [Termes IGN] force de gravitation [Termes IGN] optimisation (mathématiques) [Termes IGN] sphèroïde Résumé : (auteur) The aim of this paper is to study the spline interpolation problem in spheroidal geometry. We follow the minimization of the norm of the iterated Beltrami-Laplace and consecutive iterated Helmholtz operators for all functions belong-ing to an appropriate Hilbert space defined on the spheroid. By exploiting surface Green’s functions, reproducing kernels for discrete Dirichlet and Neumann conditions are constructed in the spheroidal geometry. According to a complete system of surface spheroidal harmonics, generalized Green’s functions are also defined. Based on the minimization problem and corresponding reproducing kernel, spline interpolant which minimizes the desired norm and satisfies the given discrete conditions is defined on the spheroidal surface. The application of the results in Geodesy is explained in the gravity data interpolation over the globe. Numéro de notice : A2020-783 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE/POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.3846/gac.2020.11316 En ligne : https://doi.org/10.3846/gac.2020.11316 Format de la ressource électronique : url article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=96479 [article]

Constraints on transient viscoelastic rheology of the asthenosphere from seasonal deformation / Kristel Chanard in Geophysical research letters, vol 45 n° 5 (15 March 2018)  

Public [article]  inGeophysical research letters > vol 45 n° 5 (15 March 2018) . - pp 2328 - 2338 Titre : Constraints on transient viscoelastic rheology of the asthenosphere from seasonal deformation Type de document : Article/Communication Auteurs : Kristel Chanard , Auteur ; Luce Fleitout, Auteur ; Eric Calais, Auteur ; Sylvain Barbot, Auteur ; Jean-Philippe Avouac, Auteur Année de publication : 2018 Article en page(s) : pp 2328 - 2338 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Applications de géodésie spatiale [Termes IGN] déformation de la croute terrestre [Termes IGN] données GNSS [Termes IGN] données GRACE [Termes IGN] fonction de Green [Termes IGN] rhéologie [Termes IGN] viscosité Résumé : (auteur) We discuss the constraints on short‐term asthenospheric viscosity provided by seasonal deformation of the Earth. We use data from 195 globally distributed continuous Global Navigation Satellite System stations. Surface loading is derived from the Gravity Recovery and Climate Experiment and used as an input to predict geodetic displacements. We compute Green's functions for surface displacements for a purely elastic spherical reference Earth model and for viscoelastic Earth models. We show that a range of transient viscoelastic rheologies derived to explain the early phase of postseismic deformation may induce a detectable effect on the phase and amplitude of horizontal displacements induced by seasonal loading at long wavelengths (1,300–4,000 km). By comparing predicted and observed seasonal horizontal motion, we conclude that transient asthenospheric viscosity cannot be lower than 5 × 1017 Pa.s, suggesting that low values of transient asthenospheric viscosities reported in some postseismic studies cannot hold for the seasonal deformation global average. Numéro de notice : A2018-654 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1002/2017GL076451 date de publication en ligne : 12/02/2018 En ligne : https://doi.org/10.1002/2017GL076451 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=93514 [article]

Assessment of continental hydrosphere loading using GNSS measurements / Michał Zygmunt in Reports on geodesy and geoinformatics, vol 101 (June 2016)  

Public [article]  inReports on geodesy and geoinformatics > vol 101 (June 2016) . - pp 36 - 53 Titre : Assessment of continental hydrosphere loading using GNSS measurements Type de document : Article/Communication Auteurs : Michał Zygmunt, Auteur ; Marcin Rajner, Auteur ; Tomasz Liwosz, Auteur Année de publication : 2016 Article en page(s) : pp 36 - 53 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Applications de géodésie spatiale [Termes IGN] déformation de la croute terrestre [Termes IGN] déformation verticale de la croute terrestre [Termes IGN] données GNSS [Termes IGN] fonction de Green [Termes IGN] modèle hydrographique [Termes IGN] série temporelle [Termes IGN] station permanente [Termes IGN] surcharge océanique Résumé : (Auteur) Presented paper is dedicated to problems of deformation of the Earth's crust as a response to the surface loading caused by continental waters. The aim of this study was to specify areas particularly vulnerable to studied deformation and to compare calculated and observed displacements. Information of the continental water volume was taken from the WaterGAP Global Hydrological Model. Calculated values of the deformations were verified with the results obtained with programs SPOTL and grat. Vertical deformations were almost 10 times higher than the deformation in the horizontal plane, for which reason later part of the paper focuses on the former. In order to check agreement of the calculated and observed deformation 23 stations of International GNSS Service (IGS) were selected and divided into three groups (inland, near the shoreline and islands). Before comparison outliers and discontinuities were removed from GNSS observations. Modelled and observed signals were centred. The analysed time series of the vertical displacements showed that only for the inland stations it is possible to effectively remove displacements caused by mass transfer in the hydrosphere. For stations located in the coastal regions or islands, it is necessary to consider additional movement effects resulting from indirect ocean tidal loading or atmosphere loading. Numéro de notice : A2016-651 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article En ligne : http://dx.doi.org/10.1515/rgg-2016-0020 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=81870 [article]

Introduction to partial differential equations / Peter J. Olver (2014)  

Public Titre : Introduction to partial differential equations Type de document : Guide/Manuel Auteurs : Peter J. Olver, Auteur Editeur : Springer International Publishing Année de publication : 2014 Importance : 636 p. Format : 18 x 26 cm ISBN/ISSN/EAN : 978-3-319-02099-0 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Analyse mathématique [Termes IGN] équation de Laplace [Termes IGN] équation de Poisson [Termes IGN] équation différentielle [Termes IGN] équation linéaire [Termes IGN] équation non linéaire [Termes IGN] équation polynomiale [Termes IGN] fonction de Green [Termes IGN] principe de Huygens [Termes IGN] transformation de Fourier [Termes IGN] valeur limite Résumé : (auteur) This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements. Note de contenu : 1- What Are Partial Differential Equations? 2- Linear and Nonlinear Waves 3- Fourier Series 4- Separation of Variables 5- Finite Differences 6- Generalized Functions and Green’s Functions 7- Fourier Transforms 8- Linear and Nonlinear Evolution Equations 9- A General Framework for Linear Partial Differential Equations 10- Finite Elements and Weak Solutions 11- Dynamics of Planar Media 12- Partial Differential Equations in Space Numéro de notice : 25874 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Manuel DOI : 10.1007/978-3-319-02099-0 En ligne : https://doi.org/10.1007/978-3-319-02099-0 Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=95568

Sciences of geodesy, vol 2. Innovations and future developments / Guochang Xu (2013)

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A geometric stochastic approach based on marked point processes for road mark detection from high resolution aerial images / Olivier Tournaire in ISPRS Journal of photogrammetry and remote sensing, vol 64 n° 6 (November - December 2009)  

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Effect of the satellite laser ranging network distribution on geocenter motion estimation / Xavier Collilieux in Journal of geophysical research : Solid Earth, Vol 114 n° B4 (April 2009)    

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Detection of atmospheric pressure loading using very long baseline interferometry measurements / T.M. Vandam in Journal of geophysical research : Solid Earth, vol 99 n° 3 (10/03/1994)

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Untersuchungen zur Lösung der fixen gravimetrischen Randwertprobleme mittels sphäroidaler und Greenscher Funktionen / N. Thong (1993)

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A parametrized solid Earth tide model and ocean tide loading effects for global geodetic baseline measurements / H. Scherneck in Geophysical journal international, vol 106 n° 3 (September 1991)  

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Méthode d'inversion, couches de niveau, balayage, théorème de Stokes / IGN (ca : 1975)

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