Data assimilation and sampling in Banach spaces

Article Properties
  • Language
    English
  • Publication Date
    2017/01/27
  • Journal
  • Indian UGC (journal)
  • Refrences
    38
  • Citations
    10
  • Ronald DeVore
  • Guergana Petrova
  • Przemyslaw Wojtaszczyk
Cite
DeVore, Ronald, et al. “Data Assimilation and Sampling in Banach Spaces”. Calcolo, vol. 54, no. 3, 2017, pp. 963-1007, https://doi.org/10.1007/s10092-017-0216-5.
DeVore, R., Petrova, G., & Wojtaszczyk, P. (2017). Data assimilation and sampling in Banach spaces. Calcolo, 54(3), 963-1007. https://doi.org/10.1007/s10092-017-0216-5
DeVore, Ronald, Guergana Petrova, and Przemyslaw Wojtaszczyk. “Data Assimilation and Sampling in Banach Spaces”. Calcolo 54, no. 3 (2017): 963-1007. https://doi.org/10.1007/s10092-017-0216-5.
DeVore R, Petrova G, Wojtaszczyk P. Data assimilation and sampling in Banach spaces. Calcolo. 2017;54(3):963-1007.
Refrences
Title Journal Journal Categories Citations Publication Date
10.1017/S0962492915000033 Acta Numerica
  • Science: Mathematics
2016
A parameterized‐background data‐weak approach to variational data assimilation: formulation, analysis, and application to acoustics

International Journal for Numerical Methods in Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
62 2015
A Stability Barrier for Reconstructions from Fourier Samples SIAM Journal on Numerical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
17 2014
Beyond Consistent Reconstructions: Optimality and Sharp Bounds for Generalized Sampling, and Application to the Uniform Resampling Problem SIAM Journal on Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
37 2013
Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon Applied and Computational Harmonic Analysis
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
40 2012
Citations
Title Journal Journal Categories Citations Publication Date
Optimal learning Calcolo
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Nonlinear approximation of high-dimensional anisotropic analytic functions Journal of Approximation Theory
  • Science: Mathematics
2024
Homogeneous algorithms and solvable problems on cones Journal of Complexity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2024
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter? Constructive Approximation
  • Science: Mathematics
2 2022
Recovering Wavelet Coefficients from Binary Samples Using Fast Transforms SIAM Journal on Scientific Computing
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2022
Citations Analysis
The category Science: Mathematics 9 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Linear Reconstructions and the Analysis of the Stable Sampling Rate and was published in 2018. The most recent citation comes from a 2024 study titled Homogeneous algorithms and solvable problems on cones. This article reached its peak citation in 2024, with 3 citations. It has been cited in 9 different journals. Among related journals, the Journal of Fourier Analysis and Applications cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year