Estimación del error en cierta clase de métodos numéricos combinados de estrategia recorrectora
Revista de Matemática: Teoría y Aplicaciones, 2009 This paper shows an analysis of the order for the approximation and roundoff errors in combined numerical scheme with recorrector strategy of Adams–Moulton– Bashfort family.
Aymée Marrero, Marta Lourdes Baguer
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Parts of the Whole: Error Estimation for Science Students
Numeracy, 2017 It is important for science students to understand not only how to estimate error sizes in measurement data, but also to see how these errors contribute to errors in conclusions they may make about the data. Relatively small errors in measurement, errors
Dorothy Wallace
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An Introduction to Affine Arithmetic
Trends in Computational and Applied Mathematics, 2003 Affine arithmetic (AA) is a model for self-validated computation which, like standard interval arithmetic (IA), produces guaranteed enclosures for computed quantities, taking into account any uncertainties in the input data as well as all internal ...
J. Stolfi, L.H. de Figueiredo
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An exact solution of truss vibration problems; pp. 244–263 [PDF]
Proceedings of the Estonian Academy of Sciences, 2019 The Elements by a System of Transfer equations (EST) method offers exact solutions to various vibration problems of trusses, beams, and frames. The method can be regarded as an improved or modified transfer matrix method.
Andres Lahe +2 more
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On fully discrete collocation methods for solving weakly singular integral equations
Mathematical Modelling and Analysis, 2009 A popular class of methods for solving weakly singular integral equations is the class of piecewise polynomial collocation methods. In order to implement those methods one has to compute exactly certain integrals that determine the linear system to be ...
Raul Kangro, Inga Kangro
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On the convergence of the gradient descent method with stochastic fixed-point rounding errors under the Polyak–Łojasiewicz inequality [PDF]
Computational optimization and applications, 2023 In the training of neural networks with low-precision computation and fixed-point arithmetic, rounding errors often cause stagnation or are detrimental to the convergence of the optimizers.
Lu Xia, Stefano Massei, M. Hochstenbach
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A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
The Astrophysical Journal, 2022 In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated ...
Naying Zhou +3 more
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Rigorous Roundoff Error Analysis of Probabilistic Floating-Point Computations [PDF]
International Conference on Computer Aided Verification, 2021 We present a detailed study of roundoff errors in probabilistic floating-point computations. We derive closed-form expressions for the distribution of roundoff errors associated with a random variable, and we prove that roundoff errors are generally ...
G. Constantinides +3 more
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Nonconcurrent Error Correction in the Presence of Roundoff Noise [PDF]
Proceedings of the 45th IEEE Conference on Decision and Control, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takos, G. +3 more
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An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F
Journal of Applied Mathematics, 2013 We propose an iterative algorithm for solving the reflexive solution of the quaternion matrix equation AXB+CXHD=F. When the matrix equation is consistent over reflexive matrix X, a reflexive solution can be obtained within finite iteration steps in the ...
Ning Li, Qing-Wen Wang, Jing Jiang
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