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Round-off errors in variational calculations

Journal of Computational Physics, 1968
Abstract 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
exaly   +4 more sources

Round-off errors andp-adic numbers

Nonlinearity, 2000
Summary: 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
exaly   +5 more sources

Round-off errors in relaxational solutions of Poisson's equation

Applied Scientific Research, 1954
Formulae 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

Reduction of round-off errors in chemical kinetics

Combustion Theory and Modelling, 2017
A. Lukassen, M. Kiehl
exaly   +2 more sources

Using measurements with large round‐off errors for interval estimation of normal process variance

IET Science, Measurement and Technology, 2015
Benson‐Karhi Diamanta   +3 more
exaly   +2 more sources

Improved Laguerre Spectral Methods with Less Round-off Errors and Better Stability

Journal of Scientific Computing, 2022
Laguerre 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

Synthesis Methodology of AW filters for RF applications based on Matrix Rotations to overcome round-off errors

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

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