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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 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 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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International Journal of Nonlinear Sciences and Numerical Simulation, 2021
Suresh Kumar Nadupuri
exaly
Suresh Kumar Nadupuri
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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, 2013Mitsuhiro T Nakao, Takuma Kimura
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