Results 1 to 10 of about 7,065 (184)
FAST ROBUST ARITHMETICS FOR GEOMETRIC ALGORITHMS AND APPLICATIONS TO GIS [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2021 Geometric predicates are used in many GIS algorithms, such as the construction of Delaunay Triangulations for Triangulated Irregular Networks (TIN) or geospatial predicates.
T. Bartels, V. Fisikopoulos
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Accounting for Round-Off Errors When Using Gradient Minimization Methods
Algorithms, 2022 This paper discusses a method for taking into account rounding errors when constructing a stopping criterion for the iterative process in gradient minimization methods.
Dmitry Lukyanenko +2 more
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Algorithms, 2023 The paper proposes a parallel algorithm for solving large overdetermined systems of linear algebraic equations with a dense matrix. This algorithm is based on the use of a modification of the conjugate gradient method, which is able to take into account ...
Dmitry Lukyanenko
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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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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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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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