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Journal articles on the topic 'Local interpolation error,estimates'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Zuppa, Carlos. "Error estimates for modified local Shepard's interpolation formula." Applied Numerical Mathematics 49, no. 2 (2004): 245–59. http://dx.doi.org/10.1016/j.apnum.2003.11.001.

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2

Etherington, Thomas R. "Discrete natural neighbour interpolation with uncertainty using cross-validation error-distance fields." PeerJ Computer Science 6 (July 13, 2020): e282. http://dx.doi.org/10.7717/peerj-cs.282.

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Interpolation techniques provide a method to convert point data of a geographic phenomenon into a continuous field estimate of that phenomenon, and have become a fundamental geocomputational technique of spatial and geographical analysts. Natural neighbour interpolation is one method of interpolation that has several useful properties: it is an exact interpolator, it creates a smooth surface free of any discontinuities, it is a local method, is spatially adaptive, requires no statistical assumptions, can be applied to small datasets, and is parameter free. However, as with any interpolation me

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3

Li, Ming, and Feilong Cao. "Local uniform error estimates for spherical basis functions interpolation." Mathematical Methods in the Applied Sciences 37, no. 9 (2013): 1364–76. http://dx.doi.org/10.1002/mma.2898.

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4

Hetmaniuk, U., and P. Knupp. "Local Anisotropic Interpolation Error Estimates Based on Directional Derivatives Along Edges." SIAM Journal on Numerical Analysis 47, no. 1 (2009): 575–95. http://dx.doi.org/10.1137/060666524.

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5

WU, ZONG-MIN, and ROBERT SCHABACK. "Local error estimates for radial basis function interpolation of scattered data." IMA Journal of Numerical Analysis 13, no. 1 (1993): 13–27. http://dx.doi.org/10.1093/imanum/13.1.13.

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HESSE, KERSTIN, and Q. T. LE GIA. "LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE." Bulletin of the Australian Mathematical Society 77, no. 2 (2008): 197–224. http://dx.doi.org/10.1017/s0004972708000087.

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AbstractIn this paper we derive local error estimates for radial basis function interpolation on the unit sphere $\mathbb {S}^2\subset \mathbb {R}^3$. More precisely, we consider radial basis function interpolation based on data on a (global or local) point set $X\subset \mathbb {S}^2$ for functions in the Sobolev space $H^s(\mathbb {S}^2)$ with norm $\|\cdot \|_s$, where s>1. The zonal positive definite continuous kernel ϕ, which defines the radial basis function, is chosen such that its native space can be identified with $H^s(\mathbb {S}^2)$. Under these assumptions we derive a local est

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Hedger, Richard D., François Martin, Julian J. Dodson, Daniel Hatin, François Caron, and Fred G. Whoriskey. "The optimized interpolation of fish positions and speeds in an array of fixed acoustic receivers." ICES Journal of Marine Science 65, no. 7 (2008): 1248–59. http://dx.doi.org/10.1093/icesjms/fsn109.

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Abstract Hedger, R. D., Martin, F., Dodson, J, J., Hatin, D., Caron, F., and Whoriskey, F. G. 2008. The optimized interpolation of fish positions and speeds in an array of fixed acoustic receivers. – ICES Journal of Marine Science, 65: 1248–1259. The principal method for interpolating the positions and speeds of tagged fish within an array of fixed acoustic receivers is the weighted-mean method, which uses a box-kernel estimator, one of the simplest smoothing options available. This study aimed to determine the relative error of alternative, non-parametric regression methods for estimating the

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Kamata, Keisuke, Koichi Kinoshita, and Manabu Kano. "Missing RRI Interpolation Algorithm based on Locally Weighted Partial Least Squares for Precise Heart Rate Variability Analysis." Sensors 18, no. 11 (2018): 3870. http://dx.doi.org/10.3390/s18113870.

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The R-R interval (RRI) fluctuation in electrocardiogram (ECG) is called heart rate variability (HRV), which reflects activities of the autonomic nervous system (ANS) and has been used for various health monitoring services. Accurate R wave detection is crucial for success in HRV-based health monitoring services; however, ECG artifacts often cause missing R waves and deteriorate the accuracy of HRV analysis. The present work proposes a new missing RRI interpolation technique based on Just-In-Time (JIT) modeling. In the JIT modeling framework, a local regression model is built by weighing sample

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Fonseca, Kalina, Mercy IlbayYupa, Luis Bustillos, Sara Barbosa, and Alisson Iza. "Comparación de Métodos de Interpolación para la Estimación de Temperatura del Reservorio CEASA." Revista Bases de la Ciencia. e-ISSN 2588-0764 3, no. 1 (2018): 57. http://dx.doi.org/10.33936/rev_bas_de_la_ciencia.v3i1.1108.

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La interpolación de temperatura en cuerpos de agua permite realizar predicciones de puntos de muestreo que no presentan datos. En la presente investigación se evaluaron 12 métodos de interpolación para estimar la temperatura del reservorio del Centro de Experimentación Académica Salache (CEASA) de la Universidad Técnica de Cotopaxi. Los datos recolectados en campo fueron interpolados aleatoriamente y comparados con los reales en base al error medio (EM), error absoluto medio (MAE), error medio cuadrático (MSE), raíz del error cuadrático (RMSE) y coeficiente de determinación (R2). La interpolac

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Khan, Suliman, M. Riaz Khan, Aisha M. Alqahtani, et al. "A well-conditioned and efficient implementation of dual reciprocity method for Poisson equation." AIMS Mathematics 6, no. 11 (2021): 12560–82. http://dx.doi.org/10.3934/math.2021724.

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<abstract><p>One of the attractive and practical techniques to transform the domain integrals to equivalent boundary integrals is the dual reciprocity method (DRM). The success of DRM relies on the proper treatment of the non-homogeneous term in the governing differential equation. For this purpose, radial basis functions (RBFs) interpolations are performed to approximate the non-homogeneous term accurately. Moreover, when the interpolation points are large, the global RBFs produced dense and ill-conditioned interpolation matrix, which poses severe stability and computational issue

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Muller, Etienne, Dominique Pelletier, and André Garon. "Interactions between adaptive time-integrators and adaptive meshing in a monolithic FEM solver." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 7 (2019): 2297–323. http://dx.doi.org/10.1108/hff-09-2018-0495.

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Purpose This paper aims to focus on characterization of interactions between hp-adaptive time-integrators based on backward differentiation formulas (BDF) and adaptive meshing based on Zhu and Zienkiewicz error estimation approach. If mesh adaptation only occurs at user-supplied times and results in a completely new mesh, it is necessary to stop the time-integration at these same times. In these conditions, one challenge is to find an efficient and reliable way to restart the time-integration. The authors investigate what impact grid-to-grid interpolation errors have on the relaunch of the com

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Fürst, Johannes Jakob, Fabien Gillet-Chaulet, Toby J. Benham, et al. "Application of a two-step approach for mapping ice thickness to various glacier types on Svalbard." Cryosphere 11, no. 5 (2017): 2003–32. http://dx.doi.org/10.5194/tc-11-2003-2017.

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Abstract. The basal topography is largely unknown beneath most glaciers and ice caps, and many attempts have been made to estimate a thickness field from other more accessible information at the surface. Here, we present a two-step reconstruction approach for ice thickness that solves mass conservation over single or several connected drainage basins. The approach is applied to a variety of test geometries with abundant thickness measurements including marine- and land-terminating glaciers as well as a 2400 km2 ice cap on Svalbard. The input requirements are kept to a minimum for the first ste

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Xu, Haitao, Leng Han, Qingqing Huang, Song Feng, and Junhui Cao. "Frequency estimator by combination of phase difference method and interpolation algorithm." Journal of Algorithms & Computational Technology 13 (January 2019): 174830181983303. http://dx.doi.org/10.1177/1748301819833032.

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In the traditional time-shifting based phase difference method, considerable errors may be introduced by wrapped phase problem as long as translation coefficient tends to one even in a small-scale turbulence noise. In this paper, an improved frequency estimator is proposed to overcome the problem of wrapped phase by combination of phase difference method and interpolation algorithm. Compared with the traditional method of phase difference based on time-shifting, the improved algorithm can obtain an accurate estimate when translation coefficient exceeds one. Comparative studies were done by mea

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Kowalewski, Stefan, Veit Helm, Elizabeth Mary Morris, and Olaf Eisen. "The regional-scale surface mass balance of Pine Island Glacier, West Antarctica, over the period 2005–2014, derived from airborne radar soundings and neutron probe measurements." Cryosphere 15, no. 3 (2021): 1285–305. http://dx.doi.org/10.5194/tc-15-1285-2021.

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Abstract. We derive recent surface mass balance (SMB) estimates from airborne radar observations along the iSTAR traverse (2013, 2014) at Pine Island Glacier (PIG), West Antarctica. Ground-based neutron probe measurements provide information of snow and firn density with depth at 22 locations and were used to date internal annual reflection layers. The 2005 layer was traced for a total distance of 2367 km to determine annual mean SMB for the period 2005–2014. Using complementary SMB estimates from two regional climate models, RACMO2.3p2 and MAR, and a geostatistical kriging scheme, we determin

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Fang, Wenqian, Lihua Fu, Shaoyong Liu, and Hongwei Li. "Dealiased seismic data interpolation using a deep-learning-based prediction-error filter." GEOPHYSICS 86, no. 4 (2021): V317—V328. http://dx.doi.org/10.1190/geo2020-0487.1.

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Deep-learning (DL) technology has emerged as a new approach for seismic data interpolation. DL-based methods can automatically learn the mapping between regularly subsampled and complete data from a large training data set. Subsequently, the trained network can be used to directly interpolate new data. Therefore, compared with traditional methods, DL-based methods reduce the manual workload and render the interpolation process efficient and automatic by avoiding the selection of hyperparameters. However, two limitations of DL-based approaches exist. First, the generalization performance of the

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Reay, S. J., W. Allen, O. Baillie, et al. "Space weather effects on drilling accuracy in the North Sea." Annales Geophysicae 23, no. 9 (2005): 3081–88. http://dx.doi.org/10.5194/angeo-23-3081-2005.

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Abstract. The oil industry uses geomagnetic field information to aid directional drilling operations when drilling for oil and gas offshore. These operations involve continuous monitoring of the azimuth and inclination of the well path to ensure the target is reached and, for safety reasons, to avoid collisions with existing wells. Although the most accurate method of achieving this is through a gyroscopic survey, this can be time consuming and expensive. An alternative method is a magnetic survey, where measurements while drilling (MWD) are made along the well by magnetometers housed in a too

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17

Zeng, Sen, Xin Wei Ma, Chong Hai Dong, and Wei Yan. "A Parameter Estimation Method for Bridges Based on Field Measured Influence Lines." Applied Mechanics and Materials 744-746 (March 2015): 726–38. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.726.

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A method for bridge structural parameter identification using field measured static influence lines with respect to various types of measurement is presented. Static test data on displacement, tilts and strains are quantified by means of influence lines to estimate global and local, sensitive and insensitive parameters of any model form of structure. A quadratic performance error function to be minimized was established with interpolation or fitting procedures. An analytical example of a simply supported beam is employed for demonstration purpose. A numerical example of plane stress is present

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Wang, Yibo, Shuqian Dong, and Yi Luo. "Model-based interferometric interpolation method." GEOPHYSICS 75, no. 6 (2010): WB211—WB217. http://dx.doi.org/10.1190/1.3505816.

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We have proposed a two-stage model-based interferometric interpolation method for filling in gaps in marine seismic data. The first stage is creating virtual traces and the second stage is utilizing modified virtual traces for interpolation. There are three steps for creating a virtual trace. First, set the virtual trace’s source and receiver coordinates and retrieve two common-receiver gathers (CRG) from existing data. At least one CRG should be obtained, otherwise, our method cannot be performed. Second, if only one CRG is obtained, then a synthetic CRG should be generated using known veloci

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19

Zhu, Yuanpeng, Xuli Han, and Shengjun Liu. "Quartic Rational Said-Ball-Like Basis with Tension Shape Parameters and Its Application." Journal of Applied Mathematics 2014 (2014): 1–18. http://dx.doi.org/10.1155/2014/857840.

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Four new quartic rational Said-Ball-like basis functions, which include the cubic Said-Ball basis functions as a special case, are constructed in this paper. The new basis is applied to generate a class ofC1continuous quartic rational Hermite interpolation splines with local tension shape parameters. The error estimate expression of the proposed interpolant is given and the sufficient conditions are derived for constructing aC1positivity- or monotonicity- preserving interpolation spline. In addition, we extend the quartic rational Said-Ball-like basis to a triangular domain which has three ten

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20

Pinto, Martin. "A Direct and Accurate Adaptive Semi-Lagrangian Scheme for the Vlasov-Poisson Equation." International Journal of Applied Mathematics and Computer Science 17, no. 3 (2007): 351–59. http://dx.doi.org/10.2478/v10006-007-0029-9.

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A Direct and Accurate Adaptive Semi-Lagrangian Scheme for the Vlasov-Poisson EquationThis article aims at giving a simplified presentation of a new adaptive semi-Lagrangian scheme for solving the (1 + 1)-dimensional Vlasov-Poisson system, which was developed in 2005 with Michel Mehrenberger and first described in (Campos Pinto and Mehrenberger, 2007). The main steps of the analysis are also given, which yield the first error estimate for an adaptive scheme in the context of the Vlasov equation. This article focuses on a key feature of our method, which is a new algorithm to transport multiscal

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Seehaus, Thorsten, Veniamin I. Morgenshtern, Fabian Hübner, Eberhard Bänsch, and Matthias H. Braun. "Novel Techniques for Void Filling in Glacier Elevation Change Data Sets." Remote Sensing 12, no. 23 (2020): 3917. http://dx.doi.org/10.3390/rs12233917.

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The increasing availability of digital elevation models (DEMs) facilitates the monitoring of glacier mass balances on local and regional scales. Geodetic glacier mass balances are obtained by differentiating DEMs. However, these computations are usually affected by voids in the derived elevation change data sets. Different approaches, using spatial statistics or interpolation techniques, were developed to account for these voids in glacier mass balance estimations. In this study, we apply novel void filling techniques, which are typically used for the reconstruction and retouche of images and

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22

Fang, Qionglin. "Estimation of Navigation Mark Floating Based on Fractional-Order Gradient Descent with Momentum for RBF Neural Network." Mathematical Problems in Engineering 2021 (April 19, 2021): 1–10. http://dx.doi.org/10.1155/2021/6681651.

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To address the difficulty of estimating the drift of the navigation marks, a fractional-order gradient with the momentum RBF neural network (FOGDM-RBF) is designed. The convergence is proved, and it is used to estimate the drifting trajectory of the navigation marks with different geographical locations. First, the weight of the neural network is set. The navigation mark’s meteorological, hydrological, and initial position data are taken as the input of the neural network. The neural network is trained and used to estimate the mark’s position. The navigation mark’s position is taken at a later

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23

Futyan, J. M., and J. E. Russell. "Developing Clear-Sky Flux Products for the Geostationary Earth Radiation Budget Experiment." Journal of Applied Meteorology 44, no. 9 (2005): 1361–74. http://dx.doi.org/10.1175/jam2291.1.

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Abstract This paper describes the planned processing of monthly mean and monthly mean diurnal cycle flux products for the Geostationary Earth Radiation Budget (GERB) experiment. The use of higher-spatial-resolution flux estimates based on multichannel narrowband imager data to improve clear-sky sampling is investigated. Significant improvements in temporal sampling are found, leading to reduced temporal sampling errors and less dependence on diurnal models for the monthly mean products. The reduction in temporal sampling errors is found to outweigh any spatial sampling errors that are introduc

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Penny, Stephen G., and Takemasa Miyoshi. "A local particle filter for high-dimensional geophysical systems." Nonlinear Processes in Geophysics 23, no. 6 (2016): 391–405. http://dx.doi.org/10.5194/npg-23-391-2016.

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Abstract. A local particle filter (LPF) is introduced that outperforms traditional ensemble Kalman filters in highly nonlinear/non-Gaussian scenarios, both in accuracy and computational cost. The standard sampling importance resampling (SIR) particle filter is augmented with an observation-space localization approach, for which an independent analysis is computed locally at each grid point. The deterministic resampling approach of Kitagawa is adapted for application locally and combined with interpolation of the analysis weights to smooth the transition between neighboring points. Gaussian noi

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Penny, S. G., and T. Miyoshi. "A local particle filter for high dimensional geophysical systems." Nonlinear Processes in Geophysics Discussions 2, no. 6 (2015): 1631–58. http://dx.doi.org/10.5194/npgd-2-1631-2015.

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Abstract. A local particle filter (LPF) is introduced that outperforms traditional ensemble Kalman filters in highly nonlinear/non-Gaussian scenarios, both in accuracy and computational cost. The standard Sampling Importance Resampling (SIR) particle filter is augmented with an observation-space localization approach, for which an independent analysis is computed locally at each gridpoint. The deterministic resampling approach of Kitagawa is adapted for application locally and combined with interpolation of the analysis weights to smooth the transition between neighboring points. Gaussian nois

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Braess, Dietrich, R. H. W. Hoppe, and Christopher Linsenmann. "A two-energies principle for the biharmonic equation and ana posteriorierror estimator for an interior penalty discontinuous Galerkin approximation." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 6 (2018): 2479–504. http://dx.doi.org/10.1051/m2an/2016074.

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We consider ana posteriorierror estimator for the Interior Penalty Discontinuous Galerkin (IPDG) approximation of the biharmonic equation based on the Hellan-Herrmann-Johnson (HHJ) mixed formulation. The error estimator is derived from a two-energies principle for the HHJ formulation and amounts to the construction of an equilibrated moment tensor which is done by local interpolation. The reliability estimate is a direct consequence of the two-energies principle and does not involve generic constants. The efficiency of the estimator follows by showing that it can be bounded from above by a res

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Fornasiero, A., P. P. Alberoni, and J. Bech. "Statistical analysis and modelling of weather radar beam propagation conditions in the Po Valley (Italy)." Natural Hazards and Earth System Sciences 6, no. 2 (2006): 303–14. http://dx.doi.org/10.5194/nhess-6-303-2006.

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Abstract. Ground clutter caused by anomalous propagation (anaprop) can affect seriously radar rain rate estimates, particularly in fully automatic radar processing systems, and, if not filtered, can produce frequent false alarms. A statistical study of anomalous propagation detected from two operational C-band radars in the northern Italian region of Emilia Romagna is discussed, paying particular attention to its diurnal and seasonal variability. The analysis shows a high incidence of anaprop in summer, mainly in the morning and evening, due to the humid and hot summer climate of the Po Valley

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Doyen, Philippe M. "Porosity from seismic data: A geostatistical approach." GEOPHYSICS 53, no. 10 (1988): 1263–75. http://dx.doi.org/10.1190/1.1442404.

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Using a geostatistical technique called cokriging, the areal distribution of porosity is estimated first in a numerically simulated reservoir model, then in an oil‐bearing channel‐sand of Alberta, Canada. The cokriging method consistently integrates 3-D reflection seismic data with well measurements of the porosity and provides error‐qualified, linear mean square estimates of this parameter. In contrast to traditional seismically assisted porosity mapping techniques that treat the data as spatially independent observations, the geostatistical approach uses spatial autocorrelation and crosscorr

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Calka, Beata. "Estimating Residential Property Values on the Basis of Clustering and Geostatistics." Geosciences 9, no. 3 (2019): 143. http://dx.doi.org/10.3390/geosciences9030143.

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The article presents a two-stage model for estimating the value of residential property. The research is based on the application of a sequence of known methods in the process of developing property value maps. The market is divided into local submarkets using data mining, and, in particular, data clustering. This process takes into account only a property’s non-spatial (structural) attributes. This is the first stage of the model, which isolates local property markets where properties have similar structural attributes. To estimate the impact of the spatial factor (location) on property value

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Storto, Andrea, Srdjan Dobricic, Simona Masina, and Pierluigi Di Pietro. "Assimilating Along-Track Altimetric Observations through Local Hydrostatic Adjustment in a Global Ocean Variational Assimilation System." Monthly Weather Review 139, no. 3 (2011): 738–54. http://dx.doi.org/10.1175/2010mwr3350.1.

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Abstract A global ocean three-dimensional variational data assimilation system was developed with the aim of assimilating along-track sea level anomaly observations, along with in situ observations from bathythermographs and conventional sea stations. All the available altimetric data within the period October 1992–January 2006 were used in this study. The sea level corrections were covariated with vertical profiles of temperature and salinity according to the bivariate definition of the background-error vertical covariances. Sea level anomaly observational error variance was carefully defined

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Bamber, J. L., J. A. Griggs, R. T. W. L. Hurkmans, et al. "A new bed elevation dataset for Greenland." Cryosphere 7, no. 2 (2013): 499–510. http://dx.doi.org/10.5194/tc-7-499-2013.

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Abstract. We present a new bed elevation dataset for Greenland derived from a combination of multiple airborne ice thickness surveys undertaken between the 1970s and 2012. Around 420 000 line kilometres of airborne data were used, with roughly 70% of this having been collected since the year 2000, when the last comprehensive compilation was undertaken. The airborne data were combined with satellite-derived elevations for non-glaciated terrain to produce a consistent bed digital elevation model (DEM) over the entire island including across the glaciated–ice free boundary. The DEM was extended t

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Taye, Mintesinot, Belay Simane, Benjamin Zaitchik, Shimelis Setegn, and Yihenew Selassie. "Analysis of the Spatial Patterns of Rainfall across the Agro-Climatic Zones of Jema Watershed in the Northwestern Highlands of Ethiopia." Geosciences 9, no. 1 (2018): 22. http://dx.doi.org/10.3390/geosciences9010022.

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The association between elevation (agro-climatic zones, ACZs) and the mean annual total rainfall (MATRF) is not straightforward in different parts of the world. This study sought to estimate the amount of MATRF across four elevation zones of Jema watershed, which is situated in the northwestern highlands of Ethiopia, by employing an appropriate interpolation method. The elevation of the watershed ranges from 1895 to 3518 m a.s.l. For the sake of this study, 34 sample MATRF data were extracted from satellite and nearby gauge stations that were recorded from 1983 to 2010. These data sources were

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Griggs, J. A., J. L. Bamber, R. T. W. L. , Hurkmans, et al. "A new bed elevation dataset for Greenland." Cryosphere Discussions 6, no. 6 (2012): 4829–60. http://dx.doi.org/10.5194/tcd-6-4829-2012.

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Abstract. We present a new bed elevation dataset for Greenland derived from a combination of multiple airborne ice thickness surveys undertaken between the 1970s and 2011. Around 344 000 line kilometres of airborne data were used, with the majority of this having been collected since the year 2000, when the last comprehensive compilation was undertaken. The airborne data were combined with satellite-derived elevations for non glaciated terrain to produce a consistent bed digital elevation model (DEM) over the entire island including across the glaciated/ice free boundary. The DEM was extended

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Sun, Xiaoyu, Yongqiang Zhao, Ming Liu, and Yanping Liu. "On Dynamic Mesh Force Evaluation of Spiral Bevel Gears." Shock and Vibration 2019 (October 20, 2019): 1–26. http://dx.doi.org/10.1155/2019/5614574.

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The mesh model and mesh stiffness representation are the two main factors affecting the calculation method and the results of the dynamic mesh force. Comparative studies considering the two factors are performed to explore appropriate approaches to estimate the dynamic meshing load on each contacting tooth flank of spiral bevel gears. First, a tooth pair mesh model is proposed to better describe the mesh characteristics of individual tooth pairs in contact. The mesh parameters including the mesh vector, transmission error, and mesh stiffness are compared with those of the extensively applied s

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Schultz, Craig A., Stephen C. Myers, James Hipp, and Christopher J. Young. "Nonstationary Bayesian kriging: A predictive technique to generate spatial corrections for seismic detection, location, and identification." Bulletin of the Seismological Society of America 88, no. 5 (1998): 1275–88. http://dx.doi.org/10.1785/bssa0880051275.

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Abstract Seismic characterization works to improve the detection, location, and identification of seismic events by correcting for inaccuracies in geophysical models. These inaccuracies are caused by inherent averaging in the model, and, as a result, exact data values cannot be directly recovered at a point in the model. Seismic characterization involves cataloging reference events so that inaccuracies in the model can be mapped at these points and true data values can be retained through a correction. Application of these corrections to a new event requires the accurate prediction of the corr

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Srivastava, Prashant K., Prem C. Pandey, George P. Petropoulos, Nektarios N. Kourgialas, Varsha Pandey, and Ujjwal Singh. "GIS and Remote Sensing Aided Information for Soil Moisture Estimation: A Comparative Study of Interpolation Techniques." Resources 8, no. 2 (2019): 70. http://dx.doi.org/10.3390/resources8020070.

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Soil moisture represents a vital component of the ecosystem, sustaining life-supporting activities at micro and mega scales. It is a highly required parameter that may vary significantly both spatially and temporally. Due to this fact, its estimation is challenging and often hard to obtain especially over large, heterogeneous surfaces. This study aimed at comparing the performance of four widely used interpolation methods in estimating soil moisture using GPS-aided information and remote sensing. The Distance Weighting (IDW), Spline, Ordinary Kriging models and Kriging with External Drift (KED

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El-Rawy, Mustafa, and Florimond De Smedt. "Estimation and Mapping of the Transmissivity of the Nubian Sandstone Aquifer in the Kharga Oasis, Egypt." Water 12, no. 2 (2020): 604. http://dx.doi.org/10.3390/w12020604.

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The Nubian sandstone aquifer is the only water source for domestic use and irrigation in the Kharga oasis, Egypt. In this study, 46 pumping tests are analyzed to estimate the transmissivity of the aquifer and to derive a spatial distribution map by geostatistical analysis and kriging interpolation. The resulting transmissivity values are log-normally distributed and spatially correlated over a distance of about 20 km. Representative values for the transmissivity are a geometric average of about 400 m2/d and a 95% confidence interval of 100–1475 m2/d. There is no regional trend in the spatial d

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Droghei, R., B. Buongiorno Nardelli, and R. Santoleri. "Combining In Situ and Satellite Observations to Retrieve Salinity and Density at the Ocean Surface." Journal of Atmospheric and Oceanic Technology 33, no. 6 (2016): 1211–23. http://dx.doi.org/10.1175/jtech-d-15-0194.1.

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AbstractMonitoring sea surface density (SSD), sea surface salinity (SSS), and sea surface temperature (SST) allows for investigating important aspects of the earth system dynamics, with relevant implications on both local/regional short-scale processes and global climate. Different approaches combine in situ measurements and satellite data to provide gap-free SSS at regular spatial and temporal resolution, aiming to resolve ocean mesoscale. Depending on the application, however, knowing SSD would be more useful than SSS and/or SST alone. Indeed, even if density can be obtained by combining SSS

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Delogu, Emilie, Albert Olioso, Aubin Alliès, Jérôme Demarty, and Gilles Boulet. "Evaluation of Multiple Methods for the Production of Continuous Evapotranspiration Estimates from TIR Remote Sensing." Remote Sensing 13, no. 6 (2021): 1086. http://dx.doi.org/10.3390/rs13061086.

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Continuous daily estimates of evapotranspiration (ET) spatially distributed at plot scale are required to monitor the water loss and manage crop irrigation needs. Remote sensing approaches in the thermal infrared (TIR) domain are relevant to assess actual ET and soil moisture status but due to lengthy return intervals and cloud cover, data acquisition is not continuous over time. This study aims to assess the performances of 6 commonly used as well as two new reference quantities including rainfall as an index of soil moisture availability to reconstruct seasonal ET from sparse estimates and a

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Price, Thomas E. "Pointwise error estimates for interpolation." Journal of Computational and Applied Mathematics 19, no. 3 (1987): 389–93. http://dx.doi.org/10.1016/0377-0427(87)90207-x.

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Heise, S., G. Dick, G. Gendt, T. Schmidt, and J. Wickert. "Integrated water vapor from IGS ground-based GPS observations: initial results from a global 5-min data set." Annales Geophysicae 27, no. 7 (2009): 2851–59. http://dx.doi.org/10.5194/angeo-27-2851-2009.

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Abstract. Ground based GPS zenith path delay (ZPD) measurements are well established as a powerful tool for integrated water vapor (IWV) observation. The International GNSS Service (IGS) provides ZPD data of currently more than 300 globally distributed GPS stations. To derive IWV from these data, meteorological information (ground pressure and mean temperature above the station) are needed. Only a limited number of IGS stations is equipped with meteorological ground sensors up to now. Thus, meteorological data for IWV conversion are usually derived from nearby ground meteorological observation

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van de Berg, Willem Jan, Erik van Meijgaard, and Lambertus H. van Ulft. "The added value of high resolution in estimating the surface mass balance in southern Greenland." Cryosphere 14, no. 6 (2020): 1809–27. http://dx.doi.org/10.5194/tc-14-1809-2020.

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Abstract. The polar version of the regional climate model RACMO2, version 2.3p1, is used to study the effect of model resolution on the simulated climate and surface mass balance (SMB) of south Greenland for the current climate (2007–2014). The model data at resolutions of 60, 20, 6.6, and 2.2 km are intercompared and compared to SMB observations using three different data refinement methods: nearest neighbour, bilinear interpolation, and a statistical downscaling method utilising the local dependency of fields on elevation. Furthermore, it is estimated how the errors induced by model resoluti

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Agarwal, Ravi P. "Better error estimates in polynomial interpolation." Journal of Mathematical Analysis and Applications 161, no. 1 (1991): 241–57. http://dx.doi.org/10.1016/0022-247x(91)90373-8.

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Gillette, Andrew, Alexander Rand, and Chandrajit Bajaj. "Error estimates for generalized barycentric interpolation." Advances in Computational Mathematics 37, no. 3 (2011): 417–39. http://dx.doi.org/10.1007/s10444-011-9218-z.

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Barker, J. Burdette, Christopher M. U. Neale, Derek M. Heeren, and Andrew E. Suyker. "Evaluation of a Hybrid Reflectance-Based Crop Coefficient and Energy Balance Evapotranspiration Model for Irrigation Management." Transactions of the ASABE 61, no. 2 (2018): 533–48. http://dx.doi.org/10.13031/trans.12311.

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Abstract. Accurate generation of spatial soil water maps is useful for many types of irrigation management. A hybrid remote sensing evapotranspiration (ET) model combining reflectance-based basal crop coefficients (Kcbrf) and a two-source energy balance (TSEB) model was modified and validated for use in real-time irrigation management. We modeled spatial ET for maize and soybean fields in eastern Nebraska for the 2011-2013 growing seasons. We used Landsat 5, 7, and 8 imagery as remote sensing inputs. In the TSEB, we used the Priestly-Taylor (PT) approximation for canopy latent heat flux, as in

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Sun, Weiwei, Jun Ma, Gang Yang, and Weiyue Li. "Statistical and Hydrological Evaluations of Multi-Satellite Precipitation Products over Fujiang River Basin in Humid Southeast China." Remote Sensing 10, no. 12 (2018): 1898. http://dx.doi.org/10.3390/rs10121898.

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The purpose of the paper is to evaluate the quality and hydrological utility of four popular satellite precipitation products, including the Tropical Rainfall Measuring Mission (TRMM) Multi-satellite Precipitation Analysis (TMPA) product (3B42V7), near real-time product (3B42RT), and the Climate Prediction Center (CPC) MORPHing technique (CMORPH) satellite–gauge merged product (CMORPH BLD) and bias-corrected product (CMORPH CRT) over Fujiang River basin, China. First, we provided a statistical assessment of the four precipitation products at multiple spatiotemporal scales. The results show tha

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Levesley, J., and Z. Luo. "Error estimates for Hermite interpolation on spheres." Journal of Mathematical Analysis and Applications 281, no. 1 (2003): 46–61. http://dx.doi.org/10.1016/s0022-247x(02)00451-1.

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Verfürth, Rüdiger. "Error estimates for some quasi-interpolation operators." ESAIM: Mathematical Modelling and Numerical Analysis 33, no. 4 (1999): 695–713. http://dx.doi.org/10.1051/m2an:1999158.

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Klokov, Yu A., and A. Ya Shkerstena. "Error estimates for Lagrange-Chebyshev interpolation formulae." USSR Computational Mathematics and Mathematical Physics 27, no. 5 (1987): 93–95. http://dx.doi.org/10.1016/0041-5553(87)90052-8.

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Kimmritz, Madlen, and Malte Braack. "Equal-order Finite Elements for the Hydrostatic Stokes Problem." Computational Methods in Applied Mathematics 12, no. 3 (2012): 306–29. http://dx.doi.org/10.2478/cmam-2012-0010.

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AbstractSimulation of flow phenomena in the ocean and in other large but relatively flat basins are typically based on the so-called primitive equations, which, among others, result from application of the hydrostatic approximation. The crucial premise for this approximation is the dominance of the hydrostatic balance over remaining vertical flow phenomena in large but flat domains, which leads to a decomposition of the three-dimensional (3D) pressure field into a hydrostatic part and an only two-dimensional (2D) hydrodynamic part. The former pressure can be obtained by solving Ordinary Differ

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