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Round-off errors in variational calculations
Journal of Computational Physics, 1968Abstract Rigorous bounds are derived for the effect of round-off errors in variational calculations for eigenvalues of linear operators. These bounds are simple to compute. They are used to derive an alternative variation principle which minimizes the effect of round-off errors. A numerical example of the use of the techniques is given.
L M Delves
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Round-off errors andp-adic numbers
Nonlinearity, 2000Summary: We explore some connections between round-off errors in linear planar rotations and algebraic number theory. We discretize a map on a lattice in such a way as to retain invertibility, restricting the system parameter (the trace) to rational values with power-prime denominator \(p^n\).
D. Bosio, F. Vivaldi
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Round-off errors in relaxational solutions of Poisson's equation
Applied Scientific Research, 1954Formulae are derived for estimating the magnitude of the round-off errors which arise in relaxational solutions of Poisson’s equation in one dimension and over rectangular regions. In the latter case, the number of nodes and the mesh ratio are taken as variable parameters.
A. R. Mitchell
semanticscholar +2 more sources
Embedding dynamics for round-off errors near a periodic orbit
Chaos, 2000J. Lowenstein, F. Vivaldi
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Reduction of round-off errors in chemical kinetics
Combustion Theory and Modelling, 2017A. Lukassen, M. Kiehl
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Response of model simulated weather parameters to round-off-errors on different systems
Environmental Modelling and Software, 2007S K Dash
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Using measurements with large round‐off errors for interval estimation of normal process variance
IET Science, Measurement and Technology, 2015Benson‐Karhi Diamanta +3 more
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Improved Laguerre Spectral Methods with Less Round-off Errors and Better Stability
Journal of Scientific Computing, 2022Laguerre polynomials are orthogonal polynomials with respect to exponentially decaying weights defined on the positive half-line. They are widely utilized in scientific and engineering computations.
Sheng-Tsai Huang, Haijun Yu
semanticscholar +1 more source
IUS, 2021
Filtering synthesis methodologies have become increasingly popular among AW filter designers due to their effectiveness, precision, and usefulness. Regardless of dealing with an equivalent Butterworth-Van Dyke electrical or coupling-nodal model, current ...
L. Acosta +4 more
semanticscholar +1 more source
Filtering synthesis methodologies have become increasingly popular among AW filter designers due to their effectiveness, precision, and usefulness. Regardless of dealing with an equivalent Butterworth-Van Dyke electrical or coupling-nodal model, current ...
L. Acosta +4 more
semanticscholar +1 more source

