Results 11 to 20 of about 132,935 (219)
Mathematics, 2019 We consider a time-fractional diffusion equation for an inverse problem to determine an unknown source term, whereby the input data is obtained at a certain time. In general, the inverse problems are ill-posed in the sense of Hadamard. Therefore, in this
Le Dinh Long +3 more
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On the convergence of multidimensional S-fractions with independent variables
Karpatsʹkì Matematičnì Publìkacìï, 2020 The paper investigates the convergence problem of a special class of branched continued fractions, i.e. the multidimensional S-fractions with independent variables, consisting of \[\sum_{i_1=1}^N\frac{c_{i(1)}z_{i_1}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{c_{
O.S. Bodnar +2 more
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A Newton-like Midpoint Method for Solving Equations in Banach Space
Foundations, 2023 The present paper includes the local and semilocal convergence analysis of a fourth-order method based on the quadrature formula in Banach spaces. The weaker hypotheses used are based only on the first Fréchet derivative.
Samundra Regmi +3 more
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
Discrete and Continuous Models and Applied Computational Science, 2021 In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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Convergence estimates for the acoustic scattering problem approximated by NURBS
Computer Assisted Methods in Engineering and Science, 2017 The paper contains some estimates of an approximation to the solution of the problem of acoustic waves's scattering by an elastic obstacle in two dimensions.
Andrzej Karafiat
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Divergent data-driven estimates of global soil respiration
Communications Earth & Environment, 2023 The release of carbon dioxide from the soil to the atmosphere, known as soil respiration, is the second largest terrestrial carbon flux after photosynthesis, but the convergence of the data-driven estimates is unclear. Here we collate all historical data-
Shoji Hashimoto +2 more
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Mathematics, 2023 This paper considers a generalization of the Rényi theorem to the case of a structural distribution with a scale parameter. In terms of the zeta metric, some estimates of the convergence rate in the generalized Rényi theorem are obtained when the ...
Alexey Kudryavtsev, Oleg Shestakov
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POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
Forum of Mathematics, Sigma, 2018 We obtain partial improvement toward the pointwise convergence problem of Schrödinger solutions, in the general setting of fractal measure. In particular, we show that, for $n\geqslant 3$, $\lim _{t\rightarrow 0}e^{it\unicode[STIX]{x1D6E5}}f(x)$$=f(x ...
XIUMIN DU +3 more
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Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces
Mathematics, 2021 We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar +3 more
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Convergence Analysis of Weighted-Newton Methods of Optimal Eighth Order in Banach Spaces
Mathematics, 2019 We generalize a family of optimal eighth order weighted-Newton methods to Banach spaces and study their local convergence. In a previous study, the Taylor expansion of higher order derivatives is employed which may not exist or may be very expensive to ...
Janak Raj Sharma +2 more
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