A Priori L 2-Error Estimates for Approximations of Functions on Compact Manifolds [PDF]
Mediterranean Journal of Mathematics, 2014 Given a { mathcal{C}^{2}} -function f on a compact riemannian manifold (X,g) we give a set of frequencies { L=L_{f}(varepsilon)} depending on a small parameter { varepsilon > 0} such that the relative L2-error { frac{f-f^{L} }{f}} is bounded above by { varepsilon}, where fL denotes the L-partial sum of the Fourier series f with respect to an ...
Marín Pérez, David +1 more
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Singular Cauchy Problem for a Nonlinear Fractional Differential Equation
MathematicsThe paper studies a nonlinear equation including both fractional and ordinary derivatives. The singular Cauchy problem is considered. The theorem of the existence of uniqueness of a solution in the neighborhood of a fixed singular point of algebraic type
Victor Orlov
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Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel
Advances in Difference Equations, 2020 In this work, we study the problem to identify an unknown source term for the Atangana–Baleanu fractional derivative. In general, the problem is severely ill-posed in the sense of Hadamard.
Nguyen Huu Can +4 more
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Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
SIAM Journal on Numerical Analysis, 2006 The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with time steps which may vary for different components of the computed solution. In this paper, we prove
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Numerical solution of the viscoelastic wave equation by Galerkin spectral element method [PDF]
Mathematics and Computational SciencesIn this paper, the Galerkin spectral element method (GSEM) is presented for solving the one-dimensional viscoelastic wave equation. The finite difference approximation is applied for temporal discretization, and the convergence order of the technique is ...
Jalil Rashidinia, Feze Barzegar
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Atmospheric CO2 inversions on the mesoscale using data-driven prior uncertainties: quantification of the European terrestrial CO2 fluxes [PDF]
Atmospheric Chemistry and Physics, 2018 Optimized biogenic carbon fluxes for Europe were estimated from high-resolution regional-scale inversions, utilizing atmospheric CO2 measurements at 16 stations for the year 2007. Additional sensitivity tests with different data-driven error structures
P. Kountouris +6 more
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Inverse Source Problem for Sobolev Equation with Fractional Laplacian
Journal of Function Spaces, 2022 In this paper, we are interested in the problem of determining the source function for the Sobolev equation with fractional Laplacian. This problem is ill-posed in the sense of Hadamard.
Nguyen Duc Phuong +2 more
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Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data [PDF]
, 2012 In this paper, a backward Euler method is discussed for the equations of motion arising in the 2D Oldroyd model of viscoelastic fluids of order one with the forcing term independent of time or in $L^{\infty}$ in time.
Goswami, Deepjyoti, Pani, Amiya K.
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A Priori Error Estimates and Computational Studies for a Fermi Pencil-Beam Equation [PDF]
Journal of Computational and Theoretical Transport, 2018 26 ...
Asadzadeh, M. +3 more
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Nuclear Binding Energies and NN uncertainties
, 2012 There is an increasing interest in quantifying the predictive power in nuclear structure calculations. We discuss how both experimental and systematic errors at the NN-level can be used to estimate the theoretical uncertainties by rather simple means and
Amaro, J. E. +2 more
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