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A Priori Error Estimates for the Method of Inclusion-Exclusion with Applications
SIAM Journal on Applied Mathematics, 1984Summary: The method of inclusion-exclusion can be used to obtain successive upper and lower bounds on the probability of the occurrence of complex events. Usually only the first upper and the first lower bound are considered. But as they can be crude, further bounds must not be excluded from methodical studies and practical computations.
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A priori error estimates for the Arbitrary Lagrangian Eulerian formulation with finite elements
Journal of Numerical Mathematics, 2001The approximation by finite elements of a time-dependent advection-diffusion problem in a moving two-dimensional domain is considered. The author assumes that the motion of the boundary of the domain is given. This problem is discretized by linear finite elements in space and a modification of the implicit Euler scheme, based on the mid-point rule, in ...
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Towards complete and error-free genome assemblies of all vertebrate species
Nature, 2021Arang Rhie +2 more
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Realizing repeated quantum error correction in a distance-three surface code
Nature, 2022Sebastian Krinner +2 more
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Exponential suppression of bit or phase errors with cyclic error correction
Nature, 2021Kevin J Satzinger +2 more
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Impedance Analysis of Electrochemical Systems
Chemical Reviews, 2022Vincent Vivier, Mark E Orazem
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