Results 11 to 20 of about 3,259,619 (178)
Interval Enclosures of Upper Bounds of Roundoff Errors Using Semidefinite Programming [PDF]
ACM Transactions on Mathematical Software, 2016 A long-standing problem related to floating-point implementation of numerical programs is to provide efficient yet precise analysis of output errors. We present a framework to compute lower bounds on largest absolute roundoff errors, for a particular ...
Victor Magron
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Mathematical modeling of parameter identification process of convection-diffusion transport models using the SVD-based Kalman filter [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 The paper addresses a problem of mathematical modeling of the process of identifying the coefficients of a partial differential equation in convection-diffusion transport models based on the results of noisy measurements of the function values ...
Anastasia N. Kuvshinova +2 more
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Test of probabilistic models for the propagation of roundoff errors
Communications of the ACM, 1966 P. Henrici
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Global error estimation of linear multistep methods through the Runge-Kutta methods [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 In this paper, we study the global truncation error of the linear multistep methods (LMM) in terms of local truncation error of the corresponding Runge-Kutta schemes. The key idea is the representation of LMM with a corresponding Runge-Kutta method.
Javad Farzi
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General moments of roundoff error [PDF]
Communications in Statistics - Simulation and Computation, 2019 Li and Nadarajah [Signal Processing 127 (2016) 185–190] derived expressions for mean and variance of roundoff error for any continuous random variable. Here, we derive expressions for general moments of the roundoff error, allowing one to study other aspects of roundoff error than just mean and variance.
Martin Wiegand, Saralees Nadarajah
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Barycentric Lagrange Interpolation Methods for Evaluating Singular Integrals
Alexandria Engineering Journal, 2023 We investigate new, straightforward methods for interpolating and integrating discontinuous single and two-variable real valued functions. The method is based on some modified matrix–vector barycentric Lagrange interpolation formulas.
E.S. Shoukralla, B.M. Ahmed
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Modified transfer matrix method for steady-state forced vibration: a system of bar elements; 143–161 [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 The Elements by a System of Transfer (EST) method offers exact solutions for various vibration problems of trusses, beams and frames. The method can be regarded as an improved or modified transfer matrix method where the roundoff errors generated by ...
Andres Lahe +2 more
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Mathematics, 2023 The paper proposes a new method for solving the parameter identification problem for a class of discrete-time linear stochastic systems with multiplicative and additive noises using a numerical gradient-based optimization. The constructed method is based
Andrey Tsyganov, Yulia Tsyganova
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Modified transfer matrix method for steady-state forced vibration: a system of beam elements* [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 The EST (Elements by a System of Transfer equations) method offers exact solutions for various vibration problems of trusses, beams and frames. The method can be regarded as an improved or modified transfer matrix method where the roundoff errors ...
Andres Lahe
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Axioms, 2023 This paper is presented in the context of sensitivity analysis (SA) of large-scale data assimilation (DA) models. We studied consistency, convergence, stability and roundoff error propagation of the reduced-space optimization technique arising in ...
Luisa D’Amore, Rosalba Cacciapuoti
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