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A method of signal estimation error reduction in a priori indeterminacy
2015 23rd Telecommunications Forum Telfor (TELFOR), 2015In the paper presented results of studying the convergence of desired signal estimation error using only one measurement of noised signal and original method of estimation. The estimation of signal without a priori information about signal function compare with estimation got by RMSE method.
Vladimir Marchuk +4 more
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A Priori Truncation Error Estimates for Stieltjes Fractions
1981Stieltjes fractions are here studied in the form K(a n z/1), a n > 0, n ≥ 1. They provide expansions for many useful functions and have integral representations $$ \int\limits_0^\infty {\frac{{zd\psi (t)}}{{1 + zt}}} $$ .
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Error Estimations in Linear Inverse Problems With a Priori Information
Volume 2: 31st Computers and Information in Engineering Conference, Parts A and B, 2011We consider an inverse problem for an operator equation Az = u. The exact operator A and the exact right-hand side u are unknown. Only their upper and lower estimations are available. We provide techniques of calculating upper and lower estimations for the exact solution belonging to a compact set in this case, as well as a posteriori error estimations.
Anatoly G. Yagola, Yury M. Korolev
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A priori error estimates for the Arbitrary Lagrangian Eulerian formulation with finite elements
Journal of Numerical Mathematics, 2001The approximation by finite elements of a time-dependent advection-diffusion problem in a moving two-dimensional domain is considered. The author assumes that the motion of the boundary of the domain is given. This problem is discretized by linear finite elements in space and a modification of the implicit Euler scheme, based on the mid-point rule, in ...
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A Priori Error Estimates for Nonlinear Scalar Conservation Laws
1999In this note, we review the recent work of the authors on a priori error estimates for nonlinear scalar conservation laws. A priori error estimates are important because they shed light into the nature of the corresponding numerical scheme. In this note, we show how to use our a priori error estimation technique to study multidimensional monotone ...
Bernardo Cockburn +2 more
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A priori local error estimation with adaptive time-stepping
Communications in Numerical Methods in Engineering, 1999Summary: We present an a priori local error estimator for one-step implicit time-stepping schemes of Padé type; such algorithms are widely used in structural dynamics. The proper time step \(h\) to be done can be calculated by matching a given local accuracy. The numerical process to evaluate \(h\) is straightforward and explicit.
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A priori error estimates for elliptic optimal control problems with a bilinear state equation
Journal of Computational and Applied Mathematics, 2009Axel Kroner, Boris Vexler
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Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation
SIAM Journal on Numerical Analysis, 2013Takuma Kimura, Mitsuhiro T Nakao
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