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Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles
Springer Science and Business Media LLC - Tập 3 - Trang 119-138 - 2012
J. Beckmann, H. N. Mhaskar, J. Prestin
We describe an explicit construction of quadrature rules exact for integrating multivariate trigonometric polynomials of a given coordinatewise degree on a spherical triangle. The theory is presented in the more general setting of quadrature formulas on a compact subset of the unit hypersphere, $${\mathbb {S}^q}$$ ...... hiện toàn bộ
A mathematical model for analyzing the ground deformation due to a creeping movement across a strike slip fault
Springer Science and Business Media LLC - Tập 10 - Trang 1-20 - 2019
Subhash Chandra Mondal, Suma Debsarma, Sanjay Sen
A long, surface breaking, strike slip fault inclined to the vertical is taken to be situated in a linearly viscoelastic half space of Maxwell type representing the lithosphere–asthenosphere system. Tectonic forces due to mantle convection and other related phenomena are supposed to be acting on the system. Under the action of these forces stresses accumulate in the region and fault undergoes a cre...... hiện toàn bộ
On the existence of Parker’s ideal bodies
Springer Science and Business Media LLC - Tập 13 Số 1 - 2022
Fernando Sansò
Fast multipole accelerated solution of the oblique derivative boundary value problem
Springer Science and Business Media LLC - Tập 3 - Trang 223-252 - 2012
Martin Gutting
The oblique derivative boundary value problem of potential theory plays an important role in physical geodesy, in particular in modeling the gravitational field. Thereby, the boundary is the known surface of the Earth itself and the measurements can be considered as discrete scattered directional derivatives of the potential on the surface or on parts of that surface. The Runge–Walsh approximation...... hiện toàn bộ
Effects of temperature- and pressure-dependent viscosity and internal heating on mantle convection
Springer Science and Business Media LLC - Tập 12 - Trang 1-22 - 2021
Tania S. Khaleque, S. A. Sayeed Motaleb
A mathematical model is considered for Rayleigh–Bénard convection of mantle where the viscosity depends strongly on both temperature and pressure defined in an Arrhenius form. The model is solved numerically for extremely large viscosity variations across a unit aspect ratio cell using a modified cut-off viscosity law, and steady solutions are obtained. The aim is to investigate the convection pat...... hiện toàn bộ
The ‘Regiments’ of sun and pole star: on declination tables in early modern England
Springer Science and Business Media LLC - Tập 1 - Trang 5-21 - 2010
Thomas Sonar
Navigation on sea before the advent of exact clocks had to be confined to steering along lines of constant latitude. In order to determine the exact latitudinal position an observation of the sun at midday or the pole star at night was necessary. In case of the sun declination tables were necessary which were computed from astronomical data while in case of the pole star the latitude could be read...... hiện toàn bộ
Vector potential formulation of a quasi-static EM induction problem: existence, uniqueness and stability of the weak solution
Springer Science and Business Media LLC - Tập 2 - Trang 265-279 - 2011
O. Souček, Z. Martinec, J. Velímský
We deal with the electromagnetic induction in a conductor with 3D distribution of electric conductivity in quasi-static approximation with the focus on theoretical aspects related to the solvability of this problem. We formulate the initial, boundary-value problem of electromagnetic induction in terms of a magnetic vector potential only, first in differential and then in integral forms. We prove t...... hiện toàn bộ
Stoneley wave propagation in transversely isotropic thermoelastic medium with two temperature and rotation
Springer Science and Business Media LLC - Tập 11 Số 1 - 2020
Iqbal Kaur, Parveen Lata
Seasonal temperature and precipitation record breakings in Hungary in a warming world
Springer Science and Business Media LLC - - 2024
Péter Szabó, Judit Bartholy, Rita Pongrácz
AbstractClimate change is leading to new daily record-breaking values globally. Since there is a clear shift towards the higher temperature values, the ratio of the numbers of new record high temperatures to record lows indicates the acceleration of global warming differently at regional levels—but is there an amplification for precipitation records as well? The ma...... hiện toàn bộ
Local numerical integration on the sphere
Springer Science and Business Media LLC - Tập 5 - Trang 143-162 - 2014
J. Beckmann, H. N. Mhaskar, J. Prestin
Many applications in geomathematics as well as bio-medical applications require the analysis of an unknown target function of a large amount of data, which can be modeled as data on a subset of the surface of a sphere. An important ingredient of this analysis is to develop numerical integration schemes (quadrature formulas) to integrate spherical polynomials of as high a degree as possible exactly...... hiện toàn bộ
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