Results 11 to 20 of about 2,730,397 (252)
Error Estimates for Doubly-Generalized Tikhonov-Phillips Regularization
Trends in Computational and Applied Mathematics, 2023 In this work, error estimates are presented for the case in which the regularized solution is obtained by minimizing doubly-generalized Tikhonov-Phillips functionals. The first result is based mainly on an assumption given by a source condition.
M. J. Carrió +2 more
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Oscillation in a posteriori error estimation [PDF]
Numerische Mathematik, 2021 AbstractIn a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to remedy, we devise a new approach where the oscillation has the following two properties.
Christian Kreuzer, Andreas Veeser
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Error Estimates on Approximating the Finite Fourier Transform of Complex-Valued Functions via a Pre-Grüss Inequality [PDF]
, 2004 Some estimates for the error in approximating the Finite Fourier Transform in terms of exponential means via a pre-Grüss inequality for complex-valued functions are ...
Hanna, George T +2 more
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Axioms, 2021 We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine
Ioannis K. Argyros +4 more
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Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]
, 2013 A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
Linss, Torsten, Kopteva, Natalia
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Goal Oriented Time Adaptivity Using Local Error Estimates
Algorithms, 2020 We consider initial value problems (IVPs) where we are interested in a quantity of interest (QoI) that is the integral in time of a functional of the solution. For these, we analyze goal oriented time adaptive methods that use only local error estimates.
Peter Meisrimel, Philipp Birken
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Mathematics, 2021 In this paper, we construct and study a new family of multi-point Ehrlich-type iterative methods for approximating all the zeros of a uni-variate polynomial simultaneously.
Petko D. Proinov, Milena D. Petkova
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Applied Sciences, 2023 Error estimation and adaptive applications help to control the discretization errors in finite element analysis. The study implements the radial point interpolation (RPI)-based error-recovery approaches in finite element analysis.
Nabil Ben Kahla +2 more
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Robust Relative Error Estimation [PDF]
Entropy, 2018 Relative error estimation has been recently used in regression analysis. A crucial issue of the existing relative error estimation procedures is that they are sensitive to outliers. To address this issue, we employ the γ -likelihood function, which is constructed through γ -cross entropy with keeping the original statistical model in use. The
Kei Hirose, Hiroki Masuda
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Pointwise error estimates in localization microscopy
Nature Communications, 2017 Super-resolution localization microscopy produces biophysical information in the form of estimated positions of single molecules. Here, Lindénet al. estimate the uncertainty of single localizations, and show that this additional information can improve ...
Martin Lindén +3 more
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