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Uncertainties associated with integral-based solutions to geodetic boundary-value problems
Physical geodesy applies potential theory to study the Earth’s gravitational field in space outside and up to a few km inside the Earth’s mass. Among...
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Inverse Problems in Geodesy: An Outline of Mathematical Solution Strategies
This contribution is concerned with mathematical potentials and strategies for the solution of inverse problems in Geodesy. The dilemmas with respect...
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On the finite element method for solving the oblique derivative boundary value problems and its application in local gravity field modelling
The paper presents local gravity field modelling in spatial domain using the finite element method (FEM). FEM as a numerical method is applied for...
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Physical Foundations of Recent Geodynamics
AbstractThe physical (phenomenological) foundations of recent geodynamics are considered. The definitions of geodynamics and recent geodynamics are...
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Precise Satellite Geodetic Measurements and Geodynamic Research in Northern Eurasia: State and Prospects
AbstractThe issues in geodynamic research in Northern Eurasia over the past three decades with emphasis on the use of space technologies in geodesy...
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Change of boundary: towards a mathematical foundation of global gravity models
Change of boundary is a method that iteratively downward continues data from a star-shaped boundary to a regular surface, such as the sphere or the...
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Mathematical Geodesy
During the last decades, geodesy was influenced by two essential scenarios: First, the technological progress has completely changed the...
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Geodesy and Mathematics: Interactions, Acquisitions, and Open Problems
The paper highlights arguments that, coming from Mathematics, have fostered the advancement of Geodesy, as well as those that, generated by geodetic...
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Towards Millimeter-Level Accuracy in GNSS-Based Space Geodesy: A Review of Error Budget for GNSS Precise Point Positioning
The aim of the new generation of Global Geodetic Observing System is a millimeter-level accuracy in positioning, with a crucial role to be played by...
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Application of the nonlinear optimisation in regional gravity field modelling using spherical radial base functions
The gravity field is a signature of the mass distribution and interior structure of the Earth, in addition to all its geodetic applications...
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Molodensky’s and Helmert’s Theories: Two Equivalent Geodetic Approaches to the Determination of the Gravity Potential and the Earth Surface
A fundamental problem of physical geodesy is the determination of the “Surface of the Earth” and its gravitational potential from various types of...
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Assessing Molodensky’s Heights: A Rebuttal
This paper is written as a progression of the ongoing discussion in geodesy about the merits of the Molodensky height system versus the classical...
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Russian Studies on Atmospheric Electricity in 2019–2022
AbstractThis review contains the most significant results of Russian studies in the field of atmospheric electricity in 2019–2022. It is part of the...
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Satellite Gravimetry: A Review of Its Realization
Since Kepler, Newton and Huygens in the seventeenth century, geodesy has been concerned with determining the figure, orientation and gravitational...
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Russian Studies on Clouds and Precipitation in 2019–2022
AbstractResults of Russian studies on cloud physics, precipitation, and weather modification in 2019–2022 are presented based on a survey prepared...
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Progress of Research on the Earth’s Gravity Tides and its Application in Geodynamics in China
High-precision gravity measurements provide an invaluable approach for exploring the interior of the Earth by detecting geodynamic phenomena...
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