Measurement error in time-series analysis: a simulation study comparing modelled and monitored data. [PDF]
BACKGROUND: Assessing health effects from background exposure to air pollution is often hampered by the sparseness of pollution monitoring networks. However, regional atmospheric chemistry-transport models (CTMs) can provide pollution data with national ...
Richard W Atkinson +25 more
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This is the first part of a paper that deals with error estimates for the Rayleigh–Ritz approximations to the spectrum and invariant subspaces of a bounded Hermitian operator in a Hilbert or Euclidean space.
Ovtchinnikov, E.
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A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state [PDF]
We analyze a finite element approximation of an elliptic optimal control problem with pointwise bounds on the gradient of the state variable. We derive convergence rates if the control space is discretized implicitly by the state equation. In contrast to
Ortner, Christoph +4 more
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Quantum Calculus-Based Error Estimations in Hermite-Hadamard Type Inequalities [PDF]
The main aim of this article is to present error approximations for Hermite-Hadamard inequalities, which are connected with $_{\omega_{1}}\mathfrak{q}$-fractional calculus operators and are based on $\mathrm{(\rho, m)}$-convex functions.
Muhammad Samraiz +3 more
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A Comparative Study on the Estimation of the Parameters of the Markovian Processes- II [PDF]
Consider the stationary autoregressive process with order one and non-zero mean. The weight parameter is taken to be priori distributed as uniform, standard normal and normal with zero mean. The Bayes' estimates are obtained and compared with conditional
A.A. Abd-Alla, A.M. Abouammoh
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Numerical validation of probabilistic laws to evaluate finite element error estimates
We propose a numerical validation of a probabilistic approach applied to estimate the relative accuracy between two Lagrange finite elements Pk and Pm,(k < m).
Jöel Chaskalovic, Franck Assous
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On improved P1-interpolation error estimates in W1,p(0, 1): application to the finite element method
Based on a new Taylor-like formula, we derived an improved interpolation error estimate in W1,p. We compare it with the classical error estimates based on the standard Taylor formula, and also with the corresponding interpolation error estimate, derived
Joel Chaskalovic, Franck Assous
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Perona‐Malik equation ‐ error estimates for explicit finite volume scheme
Error estimates in the L2 norm for the explicit fully discrete numerical finite volume scheme are derived and proved for Perona‐Malik equation. Numerical example is also presented.
A. Handlovičová, Z. Krivá
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Reliable Eigenspace Error Estimation Using Source Error Estimators
Abstract We introduce a framework for repurposing error estimators for source problems to compute an estimator for the gap between eigenspaces and their discretizations. Of interest are eigenspaces of finite clusters of eigenvalues of unbounded nonselfadjoint linear operators with compact resolvent.
Jay Gopalakrishnan +1 more
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Quantum solutions of a nonlinear Schrödinger equation [PDF]
In the present paper, we precisely conduct a quantum calculus method for the numerical solutions of PDEs. A nonlinear Schrödinger equation is considered. Instead of the known classical discretization methods based on the finite difference scheme, Adomian
S. Arfaoui, Ben Mabrouk
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