Results 11 to 20 of about 7,065 (184)
Certified Roundoff Error Bounds Using Semidefinite Programming. [PDF]
ACM Transactions on Mathematical Software, 2015 Roundoff errors cannot be avoided when implementing numerical programs with finite precision. The ability to reason about rounding is especially important if one wants to explore a range of potential representations, for instance for FPGAs or custom ...
Constantinides, GA +2 more
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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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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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Propagation of internal errors in explicit Runge--Kutta methods and internal stability of SSP and extrapolation methods [PDF]
, 2014 In practical computation with Runge--Kutta methods, the stage equations are not satisfied exactly, due to roundoff errors, algebraic solver errors, and so forth.
Ketcheson, David I. +2 more
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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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Computation of the inverse Laplace Transform based on a Collocation method which uses only real values [PDF]
, 2007 We develop a numerical algorithm for inverting a Laplace transform (LT), based on Laguerre polynomial series expansion of the inverse function under the assumption that the LT is known on the real axis only.
A. MurliI +3 more
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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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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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