Results 21 to 30 of about 601,840 (265)
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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Linearization errors in discrete goal-oriented error estimation
Computer Methods in Applied Mechanics and Engineering, 2023 This paper is concerned with goal-oriented a posteriori error estimation for nonlinear functionals in the context of nonlinear variational problems solved with continuous Galerkin finite element discretizations. A two-level, or discrete, adjoint-based approach for error estimation is considered.
Brian N. Granzow +2 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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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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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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Block-Centered Finite-Difference Methods for Time-Fractional Fourth-Order Parabolic Equations
Fractal and Fractional, 2023 The block-centered finite-difference method has many advantages, and the time-fractional fourth-order equation is widely used in physics and engineering science.
Taixiu Zhang, Zhe Yin, Ailing Zhu
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Adolescent siblings of children with cancer are at elevated risk for psychosocial problems. Unfortunately, various barriers such as limited family time and resources, conflicting schedules, and psychosocial staffing constraints at cancer centers hinder sibling access to support.
Christina M. Amaro +10 more
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Clinical Course and Impact of Breaks in Therapy for Children With Relapsed/Refractory Solid Tumors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pediatric relapsed or refractory (R/R) solid tumors carry a dismal prognosis, and postrelapse patient experiences are not well described. We present postrelapse outcomes, including number of R/R events and subsequent therapy regimens.
Matthew T. McEvoy +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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Unified Convergence Analysis of Chebyshev–Halley Methods for Multiple Polynomial Zeros
Mathematics, 2022 In this paper, we establish two local convergence theorems that provide initial conditions and error estimates to guarantee the Q-convergence of an extended version of Chebyshev–Halley family of iterative methods for multiple polynomial zeros due to ...
Stoil I. Ivanov
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