Quantum Calculus-Based Error Estimations in Hermite-Hadamard Type Inequalities [PDF]
Sahand Communications in Mathematical AnalysisThe 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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On improved P1-interpolation error estimates in W1,p(0, 1): application to the finite element method
Mathematical Modelling and AnalysisBased 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
Mathematical Modelling and Analysis, 2005 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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A Comparative Study on the Estimation of the Parameters of the Markovian Processes- II [PDF]
The Egyptian Statistical Journal, 1983 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
Mathematical Modelling and Analysis, 2021 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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Reliable Eigenspace Error Estimation Using Source Error Estimators
Computational Methods in Applied MathematicsAbstract 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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A posteriori error control for a quasi-continuum approximation of a periodic chain [PDF]
, 2013 We consider a one-dimensional periodic atomistic model, for which we formulate and analyse an adaptive variant of a quasicontinuum method. We establish a posteriori error estimators for the energy norm and for the energy, based on a posteriori residual ...
Wang, Hoa, Ortner, Christoph
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Simulation study: Average prediction error estimates.
, 2022 Simulation study: Average prediction error estimates.
Justin M. Leach (12042551) +5 more
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Quantum solutions of a nonlinear Schrödinger equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn 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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Prevalence of refractive error in Europe: the European Eye Epidemiology (E(3)) Consortium. [PDF]
, 2015 To estimate the prevalence of refractive error in adults across Europe. Refractive data (mean spherical equivalent) collected between 1990 and 2013 from fifteen population-based cohort and cross-sectional studies of the European Eye Epidemiology (E(3 ...
Cumberland, P.M. +194 more
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