Results 21 to 30 of about 542,179 (285)
A New Way for Cartesian Coordinate Transformation and Its Precision Evaluation
Remote Sensing, 2022 High-precision coordinate transformation is vital for high-quality data fusion involving different coordinate systems. The transformation precision is mainly evaluated by the transformation parameters’ estimation precision, the root mean square error ...
Ronghua Yang +4 more
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Computing hypergeometric functions rigorously [PDF]
, 2016 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
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WhyMP, a formally verified arbitrary-precision integer library [PDF]
Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Melquiond, Guillaume +1 more
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A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers
International Journal of Reconfigurable Computing, 2012 This work presents an approach for accelerating arbitrary-precision arithmetic on high-performance reconfigurable computers (HPRCs). Although faster and smaller, fixed-precision arithmetic has inherent rounding and overflow problems that can cause errors
Esam El-Araby +3 more
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High precision computing of definite integrals with .net framework c# and x-mpir
Cybernetics and Information Technologies, 2014 This paper concerns high precision numerical computing of definite integrals in a specific environment, namely .NET Framework. The work is a part of a series, tracing the progress of creating tools for high precision computations in this environment and ...
Dzhambov Velichko
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Computing periodic orbits with arbitrary precision
Physical Review E, 2011 This paper deals with the computation of periodic orbits of dynamical systems up to any arbitrary precision. These very high requirements are useful, for example, in the studies of complex pole location in many physical systems. The algorithm is based on an optimized shooting method combined with a numerical ordinary differential equation (ODE) solver,
Abad, Alberto +2 more
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Effectiveness of Floating-Point Precision on the Numerical Approximation by Spectral Methods
Mathematical and Computational Applications, 2021 With the fast advances in computational sciences, there is a need for more accurate computations, especially in large-scale solutions of differential problems and long-term simulations. Amid the many numerical approaches to solving differential problems,
José A. O. Matos, Paulo B. Vasconcelos
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Mathematics, 2021 In the present paper, a novel approach is introduced for the study, estimation and exact tracking of the finite precision error generated and accumulated during any number of multiplications.
Constantin Papaodysseus +4 more
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Stress calculation by the boundary element method using analytical integration
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 We obtain the formulas for analytical integration of dominant function components derivatives with respect to the arbitrary straight-line segment and arbitrary segment of circle.
V. P. Fedotov +2 more
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A Hardware Efficient Random Number Generator for Nonuniform Distributions with Arbitrary Precision
International Journal of Reconfigurable Computing, 2012 Nonuniform random numbers are key for many technical applications, and designing efficient hardware implementations of non-uniform random number generators is a very active research field.
Christian de Schryver +6 more
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